Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4
f(x) = 0.5x + 2
f(x) = 1/2x + 2
y – 3 = 1/2(x – 2)
y – 1 = 0.5(x + 2)
Answers
Answer:
f(x) = 0.2x - 4 (incorrect)
f(x) = 0.5x + 2 (correct)
f(x) = 1/2x + 2 (correct)
y – 3 = 1/2(x – 2) (correct)
y – 1 = 0.5(x + 2)
Step-by-step explanation:
Step 1 : Find two coordinates
(0, 2) (-4, 0)
Step 2 : Find the slope
Slope = m = Y2-Y1/X2-X1
m = 0-2/-4-0
m = -2/-4
m = 1/2 or 0.5
Step 3 : Find the y-intercept
Y-intercept is where the line intersects the y-axis
c = 2
Step 4 : Form the equation y=mx + c
Given Equations and their slope intercept forms:
1) f(x) = 0.2x - 4
This is incorrect because slope is 1/2 or 0.5 and y intercept is 2
2) f(x) = 1/2x + 2
y = 1/2x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
3) f(x) = 0.5x + 2
y= 0.5x + 2 (As m=0.5)
This is correct because slope is 1/2 or 0.5 and y intercept is 2
4) y – 3 = 1/2(x – 2)
Rearranging in slope intercept form:
y-3=1/2x - 1
y = 1/2x-1+3
y = 1/2x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
5) y – 1 = 0.5(x + 2)
y -1 = 0.5x+1
y = 0.5x +1+1
y = 0.5x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
!!
first off, let's notice something on this line, the graph touches the y-axis at 2, namely when x = 0, y = 2, so that's the y-intercept for this line.
now, let's notice something else, as the line moves from x = -4, to the right towards x = 0, the run is 4 units, the rise is 2 units, so its slope is rise/run or 2/4 or 1/2, that said, that gives us an equation of
[tex]\bf y=\cfrac{1}{2}x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\implies y=0.5x+2[/tex]
[tex]\bf y-3 = \cfrac{1}{2}(x-2)\implies y-3=\cfrac{1}{2}x-1\implies y=\cfrac{1}{2}x+2\qquad \textit{\Large\checkmark} \\\\\\ y-1=0.5(x+2)\implies y-1=0.5x+1\implies y=0.5x+2\qquad \textit{\Large\checkmark} \\\\\\ f(x) = 0.2x-4\qquad \bigotimes[/tex]
Related Questions
Find the slope of the line containing the points (5, -1) and (-8, -4).
Answers
Finding the slope using two points, (5, -1) and (-8, -4)
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
In this case...
[tex]y_{2} =-4\\y_{1} =-1\\x_{2} =-8\\x_{1} =-5[/tex]
^^^Plug these numbers into the formula for slope...
[tex]\frac{-4-(-1)}{-8-5}[/tex]
[tex]\frac{-3}{-13}[/tex]
[tex]\frac{3}{13}[/tex]
^^^This is your slope
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
Step-by-step explanation:
The formula to find a slope using two points is:
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\m = ((-4)-(-1))/((-8)-(5))\\m = -3 / -13\\m = 3/13[/tex]
The Symmetric Property of Congruence lets you say that if ∠H ≅ ∠K, then _____ ≅ ∠H.
Answers
Answer:
The Symmetric Property of Congruence lets you say that if ∠H ≅ ∠K, then ∠K ≅ ∠H.
Step-by-step explanation:
The Symmetric Property of Congruence lets you say that if ∠H ≅ ∠K, then ∠K ≅ ∠H.
We know that Symmetric property of Congruence states that if:
∠A≅∠B,then ∠B≅∠A
Therefore according to the property,the missing angle in the statement is ∠K....
Which of the following expressions represents the distance between -1/4 and 3/4?
Answers
Answer:
[tex]\large\boxed{C.\ \left|-\dfrac{1}{4}-\dfrac{3}{4}\right|}[/tex]
Step-by-step explanation:
[tex]\text{The formula of a distance between x and y on a number line:}\\\\d=|b-a|=|a-b|\\\\\text{We have}\ a=-\dfrac{1}{4}\ \text{and}\ b=\dfrac{3}{4}.\ \text{The distance:}\\\\d=\left|-\dfrac{1}{4}-\dfrac{3}{4}\right|=\left|\dfrac{3}{4}-\left(-\dfrac{1}{4}\right)\right|[/tex]
Answer:
The correct answer is C none of the above
Step-by-step explanation:
Is the line for the equation y = -8 horizontal or vertical? What is the slope of this
Answers
Answer:
Horizontal and it's slope is 0.
Step-by-step explanation:
y=a number is horizontal while x=a number is vertical.
The slope of horizontal lines are 0 because there is no rise.
The slope of vertical lines are undefined because there run is 0.
Slope is equal to rise over run.
y=-8 is horizontal because it represents all the points in the form (x,-8) where x is any real number.
Graph as many points as you want in the form (x,-8), you should see a horizontal line formed. The slope of y=-8 is 0.
Example of points in the form of (x,-8):
(-10,-8)
(-5,-8)
(-1,-8)
(0,-8)
(1,-8)
(5,-8)
(10,-8)
All of these go down 8 units after going left or right however many.
This is a horizontal line 8 units below the x-axis.
Answer:
Horizontal
0
Step-by-step explanation:
No matter what the x value is, the y value is - 8. Make a small table to see what that means.
x y
2 -8
0 -8
- 2 -8
See what's happening?
Look at the y intercept. The y value is - 8 when x = 0. It is also - 8 when x = 2.
Make a rough drawing on a scrap piece of paper. Plot just those 2 points. Roughly. You don't even need a ruler.
What do you see? The line must be going horizontally.
The next question is a little harder. It is not obvious, but you do know that this line either goes horizontally or vertically. So the slope can either be 0 or undefined. There is no third choice.
The general equation is y = mx + b
There is no x in y = - 8
Therefore the slope is 0. That's the only way you could get rid of the x.
Help please and fast
Answers
Answer:
c. 21/32 inches
C. 1.992
b. 0.3125
Step-by-step explanation:
Given
The inside diameter = 1/2 inches
Wall thickness = 1/16 inches
clearance = 1/32 inches
As it is given that the outside diameter is twice the thickness and diameter.
So,
Outside diameter = 1/2 + 2(1/32)
= 1/2+2/16
= 1/2+1/8
=(4+1)/8
=5/8
We also have to give clearance of 1/32 inches so,
Diameter of hole = 5/8+1/32
=(20+1)/32
=21/32 inches
So the correct answer for question 1 is:
c. 21/32 inches
Rounding off 1.99235 to three decimal places:
1.992
C. 1.992
Expressing 5/16 as a decimal fraction:
0.3125
b. 0.3125
16 completely divides 5 so the answer is already 4 decimal places ..
the ratio of boys to girls in a class is 8 to 5 what is the ratio of girls to all the students in the class
Answers
Answer:
5 to 13
Step-by-step explanation:
There are 5 girls in the class
To find the amount of kids in the class you have to add the girls and boys together.
There are 5 girls and 8 boys.
So 8 + 5 = 13
So there are 5 girls out of 13 students.
Answer:
5 to 13
Step-by-step explanation:
The ratio of girls to all the students in the class is 5 to 13.
8 + 5 = 13
5 girls out of 13 students
HELP ASAP FIND EACH DERIVATIVE..... 7) 3x^2y^2=4x^2-4xy
8) 5x^3 + xy^2= 5x^3y^3
9)y=(3x^4+5x^3-5)/2x^4-4
Answers
Answer:
7. (4x - 3xy^2 - 2y) / (3x^2y + 2x).
Step-by-step explanation:
Implicit differentiation:
7. 3x^2 y^2 = 4x^2 - 4xy
6x * y^2 + 3x^2 * 2y y' = 8x - 4(x y' + y)
6xy^2 + 6x^2y y' = 8x - 4x y' - 4y
6x^2y y' + 4x y' = 8x - 6xy^2 - 4y
y' = (8x - 6xy^2- 4y) / (6x^2y + 4x)
y' = 2(4x - 3xy^2- 2y) / 2(3x^2y + 2x)
= (4x - 3xy^2 - 2y) / (3x^2y + 2x).
Numbers 8 and 9 are done in the same way.
We use the Chain, Product and Quotient rules where applicable.
Lines a and b are parallel and lines e and f are parallel.
What is the value of x?
8
82
98
172
Answers
Answer:
82
Step-by-step explanation:
Alternate exterior angles where the transversal "e" crosses parallel lines "a" and "b" are congruent. x° ≅ 82°
Answer: second option.
Step-by-step explanation:
It is important to remember that Vertical angles are defined as two non-adjacent angles formed by intersecting lines. These angles share the same vertex and they are congruent.
Observe the figure attached. Since lines "a" and "b" are parallel, you can notice that the angle 82° angle x° are Vertical angles. Therefore, they are congruent.
Then, the value of "x" is:
[tex]x=82\°[/tex]
If y = 3ab + 2b3, what is y when a = 1 and b = 2
Answers
Answer: The required value of y is 22.
Step-by-step explanation: We are given the following function of a and b :
[tex]y=3ab+2b^3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the value of y when a = 1 and b = 2.
To find the required value of y, we need to substitute the values of a and b in equation (i).
From (i), we get
[tex]y=3\times1\times2+2\times2^3=6+16=22.[/tex]
Thus, the required value of y is 22.
The solution to the given algebraic Expression is; y = 22
What is the solution to an algebraic expression?
We are given the algebraic expression;
y = 3ab + 2b³
We want to find y when a = 1 and b = 2.
Plugging in the relevant values gives;
y = 3(1*2) + 2(2³)
y = 6 + 16
y = 22
In conclusion, the solution to the expression is y = 22
Read more about Algebraic Expressions at; https://brainly.com/question/4344214
Angelo, Brandon, and Carl work in the same office. Angelo’s age is 4 years more than twice Carl’s age. Brandon is 5 years younger than Carl. The average of the three ages is 41.
Part A: Use a variable to define the age of one of the men.
Part B: Use the variable in part A to represent the ages of the other two men.
Part C: Write an equation that represents the average of the three men's ages equivalent to 41.
Part D: Find the age of each of the men.
Answers
Answer:
Angelo is 66 Brandon is 26 Carl is 31
Step-by-step explanation:
Variables a=Angelo b=Brandon c=Carl
Equation (1/3)(a+b+c) = 41
The age of each man is Carl (31), Angelo (66), and Brandon (26).
Explanation:Part A: Let's use the variable x to represent Carl's age.
Part B: Angelo's age is 4 years more than twice Carl's age, so we can write his age as 2x + 4. Brandon is 5 years younger than Carl, so his age is x - 5.
Part C: The average of the three ages is given as 41, so we can write the equation (x + 2x + 4 + x - 5) / 3 = 41.
Part D: To find the age of each man, we solve the equation:
(x + 2x + 4 + x - 5) = 3 * 41
4x - 1 = 123
4x = 124
x = 31
Carl's age is 31, Angelo's age is 2(31) + 4 = 66, and Brandon's age is 31 - 5 = 26.
Learn more about Age calculation here:https://brainly.com/question/35085833
#SPJ2
In the state of Indiana, 302500 people don't drive. If this is 5% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older. Express your answer rounded to the nearest hundredth of a million.
Answers
Answer: 6,050,000
Step-by-step explanation:
5%=0.05
302500/0.05=6,050,000
Answer:
x = 6050000
Step-by-step explanation:
Set up a proportion
5% = 302500 people
100% = x
5/100 = 302500
100/100 = x Cross multiply
5x / 100 = 302500 * 100/100 Multiply both sides by 100
5x / 100 * 100 = 302500 * 100 / 100 *100 Do the multiplication
5x = 302500 * 100 Combine the right.
5x = 30250000 Divide by 5
5x/5 = 30250000/5
x = 6050000
1/100 of a million is the 5. It is already rounded to what it should be. So the answer is what we have.
Billboard on the highway has a perimeter of 118 feet find the length of the billboard at the height is 19 feet
Answers
Answer:
the length is 40 ft
Step-by-step explanation:
perimeter is length+length+height+height.
If the height is 19 ft then the first equation would be 118-(19+19)=80
Then you would do 80/2= 40
The length is 40 ft.
The length of the billboard with a perimeter of 118 feet and a height of 19 feet is 40 feet.
To find the length of the billboard when the perimeter is 118 feet and the height is 19 feet, you can use the formula for the perimeter of a rectangle: Perimeter = 2(length + height). Given that the height is 19 feet, you set up the equation 118 = 2(l + 19) and solve for the length (l).
First, divide both sides of the equation by 2:
59 = l + 19
Next, subtract 19 from both sides:
l = 59 - 19
l = 40
Chris lost $5.29 playing poker in one week. If this continued, what would be his net winnings or losses after five weeks ?
Answers
Answer:
$26.45
Step-by-step explanation:
If Chris lost $5.29 playing poker in one week, in five weeks he would lose $26.45.
$5.29 lost per week.
5 weeks.
$5.29 x 5 = $26.45.
The net loss of Chris after five weeks will be $26.45.
Average value per week: -$5.29
Net loss after five weeks: -$5.29 x 5 = -$26.45
Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 3 + 3 + 9 + ... + 81
Answers
ANSWER
[tex] \sum _{n = 1} ^{18} (6n - 15)[/tex]
EXPLANATION
The given series
[tex] - 9 - 3 + 3 + 9 + ... + 81[/tex]
This is an arithmetic series with a common difference of
[tex]d = - 3 - - 9 = 6[/tex]
The first term of the series is:
[tex]a_1 = - 9[/tex]
The general term is given by:
[tex]a_n =a_1 + d(n - 1)[/tex]
[tex]a_n = - 9+ 6(n - 1)[/tex]
[tex]a_n = - 9+ 6n - 6[/tex]
[tex]a_n =6n - 15[/tex]
The last term is 81
We can use this to determine the number of terms in the series.
[tex]81=6n - 15[/tex]
[tex]81 + 15=6n [/tex]
[tex]6n = 96[/tex]
[tex]n = \frac{96}{6} = 16[/tex]
The summation notation is:
[tex] \sum _{n = 1} ^{18} (6n - 15)[/tex]
Type the correct answer in the box. Use numerals instead of words. If necessary, use for the fraction bar
There are three monomials such that the greatest common factor of the first and second monomials is 2xy, and the greatest common factor of the
second and third monomials is 2x2y!
The greatest common factor of the three monomials is
Reset
Next
Answers
Answer:
2xy is the greatest common factor of the three monomials.
Step-by-step explanation:
There are three monomials such that greatest common factor of first and third monomial is 2xy and greatest common factor of second and third monomial is 2x²y.
As we know greatest common factor means, common prime factors of two numbers or expressions.
Greatest common factors of 1st and second and greatest common factors of 2nd and third monomials have been given.
So, common prime factors of these two greatest common factors will be greatest common factor of all three monomials.
Prime factors of 2xy = (2)(x)(y)
Prime factors of 2x²y = (2)(x)(x)(y)
So common factors are (2)(x)(y) which is the greatest common factors of all three monomials.
Robin earned twice as much money this week as she did last week. Let d represent the amount of money she earned last week. Write a variable expression to represent how much money she earned this week? *
Answers
Answer:
2d=m
Step-by-step explanation:
d represents the amount of money she earned Last weekm represents the amount of money she earned this week2xd=m
The variable expression that represents the money Robin earned this week, if 'd' is the money she earned last week, is '2d'. This is because Robin earned twice as much this week as she did the previous week.
Explanation:In the context of this question, Robin earned twice as much money this week as she did last week. Because last week's earnings are represented by the variable, the expression to represent this week's earning becomes 2d. The number 2 is multiplied by d because Robin earned double this week of what she earned last week. Therefore, 2d accurately represents Robin's earnings for this week, if d is the amount she earned last week.
Learn more about Variable Expression:http://brainly.com/question/12973752
#SPJ2
The solution to an inequality is given in set-builder notation as {x l x >2/3 }. What is another way to represent this solution set?
Answers
The solution to the inequality represented in set-builder notation can also be expressed in interval notation. In this case, the solution set is x > 2/3, indicating that x can take any value greater than 2/3.
Explanation:The solution to the given inequality, {x | x > 2/3}, can also be represented as x > 2/3 in interval notation. In interval notation, 2/3 is excluded from the solution set, so the inequality becomes x > 2/3. This means that x can take any value greater than 2/3, such as 1, 1.5, 2, 2.5, and so on.
Learn more about Inequality here:https://brainly.com/question/40505701
#SPJ12
Another way to represent the solution set {x | x > 2/3} is (2/3, ∞) in interval notation.
Explanation:Another way to represent the solution set {x | x > 2/3} is by using interval notation.
Interval notation represents a range of values between two endpoints using parentheses or brackets.
In this case, the solution set would be represented as (2/3, ∞) because the values of x are greater than 2/3. This means that x can take any value greater than 2/3, such as 1, 1.5, 2, 2.5, and so on.
Learn more about Solution Sets here:https://brainly.com/question/35257562
#SPJ12
If a parallel b and e parallel f what is the value of y
Answers
Answer:
C
Step-by-step explanation:
Answer:
92
Step-by-step explanation:
(x+1) + (x-3) = 180
2x-2=180
2x=182
x=91
(x+1) = 92
(x+1) and y are equal angles
y = 92
edge 2023
The area of a circle is 73.48 square meters. What is the radius?
Answers
[tex]\large\boxed{\text{About}\,4.836\,\,\text{meters}}[/tex]
Step-by-step explanation:In this question, we're trying to find the radius of the circle.
In this case, we would use the formula:
[tex]r=\sqrt\frac{A}{\pi}\,\,\text{or}\,\,r=\sqrt\frac{A}{3.14}[/tex]
"A" would represent the area, so you would plug in 73.48 in "A."
Your equation should look like this:
[tex]r=\sqrt\frac{73.48}{\pi}[/tex]
Now, you will solve:
[tex]r=\sqrt\frac{73.48}{\pi}\\\\\text{Divide the fraction}\\\\r=\sqrt23.3894104367849385445951\\\\\text{Square it by finding the square root}\\\\r= 4.836259963730\\\\\text{Lets make it shorter}\\\\r=4.836[/tex]
When you're done solving, you should get 4.836
This means that the radius is about 4.836 meters.
I hope this helped you out.Good luck on your academics.Have a fantastic day!Answer:
r=4.84m
Step-by-step explanation:
If the area of a circle is 73.48 square meters, the radius is 4.84m.
Formula: A=πr^2
r = A/π = 73.48/π ≈ 4.83626m
51 males to 21 females ratio or rate as a fraction
Answers
Answer:
[tex]\frac{17}{7}[/tex]
Step-by-step explanation:
51 males to 21 females is equivalent to the following:
51 to 21
51:21
51/21
[tex]\frac{51}{21}[/tex]
We could simplify this ratio. Both 51 and 21 have factors of 3 so I'm going to divide both parts of our ratio be 3.
So 51 divided by 3 is 17 and 21 divided by 3 is 7.
The simplified version of the answers above:
17 to 7
17:7
17/7
[tex]\frac{17}{7}[/tex]
The ratio of males to females is written in the form of fraction as 17/7.
What is Ratio?When a number is divisible by another number, then it can be written in the
form of p:q, this is called Ratio.
The number of total males = 51
The total females = 21
The ratio of males: females = 51 : 21
As fraction, in terms of p/q it can be written as 51/21
It can be simplified as
17/ 7
To know more about Ratio
brainly.com/question/13419413
#SPJ2
If a rectangle's length is
2t+1
and the width is
t-3 write an expression for the perimeter and an expression for the area.
Answers
Answer:
Perimeter = 6t - 4
Area = 2t² - 7t - 3
Step-by-step explanation:
Given length = 2t + 1
Width = t - 3
So perimeter = 2t +1 + t - 3 + 2t + 1 + t - 3
= 2t + t + 2t + t + 1 - 3 + 1 - 3
= 6t - 4
Area = (2t + 1)(t - 7)
= 2t² - 6t + t - 3
= 2t² - 7t - 3
Sorry if im wrong but i think thats the answer
For this case we have that by definition:
The area of a rectangle is given by:
[tex]A = a * b[/tex]
Where:
a and b are the sides of the rectangle.
For its part, the perimeter will be given by:
[tex]P = 2a + 2b[/tex]
If we have as data:
[tex]a = 2t + 1\\b = t-3[/tex]
So, the area is given by:
[tex]A = (2t + 1) (t-3)[/tex]
We apply distributive property:
[tex]A=2t^2-6t+t-3\\A=2t^2-5t-3[/tex]
For its part, the perimeter is:
[tex]P = 2 (2t + 1) +2 (t-3)\\P = 4t + 2 + 2t-6\\P = 6t-4[/tex]
ANswer:
[tex]A = 2t ^ 2-5t-3\\P = 6t-4[/tex]
Calculate the area of rhombus ABCD where diagonal AC = 66 units and diagonal BD = 26 units
Answers
Answer:
858 sq. units
Step-by-step explanation:
Area of a rhombus is found by A=ab/2 where a and b are the diagonals of the rhombus and A is the area.
AC is a and BD is b
A= (AC.BD)/2
=(66×26)/2
=858 Sq units
The area of the rhombus is therefore 858 sq. units.
Use the grouping method to factor the polynomial below completely.
x3 - 3x2 + 5x - 15
Answers
x^2(x-3) +5(x-3)
(x^2 + 5)(x - 3) <==Answer
Answer:
[tex](x^2+5)*(x-3)[/tex]
Step-by-step explanation:
In grouping method factoring, you must have to split the middle term in a way that the product of two terms in middle must be equal to the product of two terms at the edges of equation. Remember you have to consider the resultant signs as well as the magnitude of both products.
Now in the case given above,
[tex]x^3-3x^2+5x-15[/tex]
the result is [tex]-15x^3[/tex]
Note that the magnitude is 15x^3 and sign is '-' for both products.
Now taking out the common terms, equation becomes;
[tex]x^2(x-3)+5(x-3)[/tex]
Taking out (x-3) as common, now the factorized version we have is:
[tex](x-3)(x^2+5)[/tex]
The quantity y varies directly with the square of x and inversely with z. When x is 9 and z is 27. y is 6. What is the constant of
variation
Answers
Answer:
2
Step-by-step explanation:
Varies directly means we multiply to the constant, where as inversely means we divide the constant.
So we have
"y varies directly with the square of x and inversely with z".
This means x^2 will be on top and z will be on bottom.
Like this:
[tex]y=k\frac{x^2}{z}[/tex]
We are given x=9,z=27, and y=6. This will allow us to find k.
k is constant no matter what (x,y,z) we have.
[tex]6=k\frac{9^2}{27}[/tex]
[tex]6=k\frac{81}{27}[/tex]
[tex]6=k(3)[/tex]
Divide both sides by 3:
[tex]2=k[/tex]
So the constant of variation is 2.
Answer:
The constant of variation is 2.
Step-by-step explanation:
If y is directly influenced by x², it means that the function of y will be multiplied with x². with y being inversely influenced by z, it means that the function will be divided by z. The entire function can be written as being multiplied by an unknown factor, a:
[tex]y=a\frac{x^{2} }{z}[/tex]
Replacing the known values of x, y and z, the unknown factor, a can be calculated:
[tex]6=a*\frac{9^{2}}{27}\\6=a*\frac{81}{27}\\6=a*3\\a=2[/tex]
The constant of variation is 2.
A diameter is a line segment whose endpoints are on a circle. It is a special type of chord because it must contain the _____ of the circle HELP!!!!!!!!!!
Answers
A diameter is a special type of chord that passes through the center of a circle. It has its endpoints on the circle's circumference, with the center of the circle as its midpoint.
Explanation:In the field of mathematics, a diameter is indeed a special type of chord. The unique characteristic of a diameter, differentiating it from other chords, is that it must contain the center of the circle - that is the definition finds its completion. As a line segment, a diameter has its endpoints on the circumference of the circle and its middle point is the center of the circle. So, when referring to a diameter, you are essentially talking about the largest chord in a circle that passes through the center.
Learn more about Diameter here:https://brainly.com/question/32968193
#SPJ6
Write an equation of the line that passes through the point (4,-5) with slope 2 please answer
Answers
[tex]\huge{\boxed{y+5=2(x-4)}}[/tex]
Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope of the line and [tex](x_1, y_1)[/tex] is a known point on the line.
Substitute the values. [tex]y-(-5)=2(x-4)[/tex]
Simplify the negative subtraction. [tex]\boxed{y+5=2(x-4)}[/tex]
Note: This equation is in point-slope form. If you require or prefer another form, please let me know in a comment below.
Answer:
y = 2x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, hence
y = 2x + c ← is the partial equation
To find c substitute (4, - 5) into the partial equation
- 5 = 8 + c ⇒ c = - 5 - 8 = - 13
y = 2x - 13 ← equation of line
Given: m || n
What is the value of x?
x = a0
Answers
Answer:
x = 8
Step-by-step explanation:
Since m and n are parallel lines, then
6x - 2 = 46 ← alternate angles
Add 2 to both sides
6x = 48 ( divide both sides by 6 )
x = 8
Answer:
x=8
Step-by-step explanation:
The value of the angles are the same due to them being alternate interior angles and opposite angles. This means we can set 6x-2=46. Add 2 to each side to isolate the 6x. This leaves you with 6x=48. Divide by 6 to isolate x. 48/6= 8. X=8. Hope this helps :).
If Esther deposited $50 at the end of each month into an account with no interest, how much money would she have saved by the end of 12 months?
Answers
Answer:
she will have saved a total of $600.00
Step-by-step explanation:
$50.00 x 12=$600.00
The net of a solid is the view from above the solid. True False
Answers
Answer: False
Step-by-step explanation: A net is when a 3 dimensional shape is unwrapped. For example, a cube’s net is 6 squares when unwrapped.
Simplify the expression.
2(3y-7) - 52 - и
Answers
Answer:
5y^2−4y−14
Step-by-step explanation:
Equation:2(3y−7)−5y(2−y)
First Distribute:
(2)(3y)+(2)(−7)+5y2+−10y
6y+−14+5y2+−10y
Then Combine Like Terms:
6y+−14+5y2+−10y
(5y2)+(6y+−10y)+(−14)
5y2+−4y+−14
Answer:
5y^2 -4y -14
Step-by-step explanation:
2(3y-7)-5y(2-y)
Distribute
2*3y -2*7 -5y *2 -5y*(-y)
6y -14 -10y +5y^2
Combine like terms and put in decreasing order
5y^2 -4y -14