Answer:
y=-2x+13
Step-by-step explanation:
Slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.
The slope of y=-2x-2 is -2 since m=-2.
A line that is parallel to the given line is going to have the same slope.
So we already know the equation we are looking for should be in the form y=-2x+b.
We just to need to find b.
We can use the given point on our line do that.
5=-2(4)+b
5=-8+b
8+5=b
13=b
So the equation is y=-2x+13.
Answer:
y = -2x+13
Step-by-step explanation:
The slope of the original line is -2 so you take that and plug it in with the points (4,5) in point slope form to get y-5 = -2(x-4), then you simplify to get y-5 = -2x+8 then y = -2x+13
What is the radius and diameter of the following circle?
Answer:
r = 4.2 cm; d = 8.4 cm
Step-by-step explanation:
The radius is the distance from the centre of the circle to the circumference.
r = 4.2 cm
The diameter is the length of a straight line that passes through the centre with each end at the circumference.
d = 2r = 2 × 4.2 cm = 8.4 cm
Answer:
radius=4.2
diameter=8.4
Step-by-step explanation:
Rewrite the following linear equation in slope-intercept form.write your answer with no spaces. Y-5=3(x+1)
Answer:
[tex]y=3x+8[/tex]
Step-by-step explanation:
Slope-intercept form is as follows:
[tex]y=mx+b[/tex]
In this equation, "m" represents your slope and "b" represents your y-intercept.
To convert your equation into slope-intercept form, distribute your 3 across your parentheses and then add 5 to both sides to isolate for y.
[tex]y-5=3(x+1)\\y-5=3x+3\\y=3x+8[/tex]
graph the equations to solve the system
y=-x
y=2x+3
click on the correct answer #1 solutions :all numbers on the line #2 no solutions {} #3 one solution:{-1,1} #4 one solution:{0,3}
Answer:
This system has one solution (-1,1)
Step-by-step explanation:
The attached picture shows the solutions for the system
If we equalize the eq. obtain the following
-x=2x+3
From we obtain that x= -1
Using the first equation y=-x, we obtain that y=1
so (-1,1)
Find the product (7v+8)(4v2 - 8v+1)
7v(4v2-8v+1)+8(4v2-8v+1)
28v3-56v2+7v+32v2-64v+8
Answer= 28v3 -24v2 -57v +8
A ship at sea, the Gladstone, spots two other ships, the Norman and the Voyager, and measures the angle between them to be 48°. The distance between the Gladstone and the Norman is 4590 yards. The Norman measures an angle of 55° between the Gladstone and the Voyager. To the nearest yard, what is the distance between the Norman and the Voyager?
Answer:
=3501 yards.
Step-by-step explanation:
The three ships form a triangle. From the Voyager the angle between the Norman and the Gladstone=180-(55+48)=77°
Let the position of the Voyager be V that of Norman be N and that of the Gladstone be G
Then, the distance between Norman and voyager is g
g/sin G=v/ Sin V
4590/Sin 77=g/Sin 48
g=(4590 Sin 48)/Sin 77
=3500.8 yards
The distance between the Norman and the voyager= 3501 yards.
A bag contains the red marbles, we orange marbles, one yellow marble, and two green marbles. Two marbles are drawn
from the bag
What is the approximate probability of choosing an orange marble and a green marble?
Save and Exit
Submit
Answer:
the answer of this question is 3/5
Answer: the answer is
0.04444
The following list gives the number of siblings for each of 15 students.
2,2,1, 4, 4, 2, 3, 0, 0, 4, 1, 0, 4,0,2
Find the modes of this data set.
Answer:it’s the number that appears most often,so the answer would be 2,4,and 0.
Step-by-step explanation:
The modes of the data set are 0, 2, and 4
Step-by-step explanation:In this question, it is asking you to find the mode of the given data set.
We would be using the data set in the question in order to find out what the mode is.
The mode would be the number that "occurs" the most. In other words, the number(s) that are more "frequent."
Data set:
2, 2, 1, 4, 4, 2, 3, 0, 0, 4, 1, 0, 4, 0, 2
Now, we could count how many of each numbers there are.
0 = 4 (Most)
1 = 2
2 = 4 (Most)
3 = 1
4 = 4 (Most)
When you're done counting the numbers, you would notice that 0, 2, and 4 have the highest number of occurrence in the data set.
This means that the modes of the data set are 0, 2, and 4
I hope this helps you out.Good luck on your academics.Have a fantastic day!
[tex]( - x + 3) - (4x - 10)[/tex]
Answer:
-5x+13 given (-x+3)-(4x-10)
Answer:-5x+13
Step-by-step explanation:
We are going to distribute to get rid of the ( ):
-x+3-4x+10
Pair up like terms:
-x-4x+3+10
Combine the like terms:
-5x+13
Answer:
-5x+13
Step-by-step explanation:
( - x + 3) - (4x - 10)
Distribute the minus sign
( - x + 3) - 4x + 10
Combine like terms
-5x +13
Which graph shows the piecewise function given below?
The graph that represents the given piecewise function is the one on the right. Therefore the correct answer is option b.
The piecewise function f(x) is defined as follows:
f(x) = -x if x ≤ 3
f(x) = 2 if x > 3
To graph this piecewise function, you would draw two separate segments:
For x values less than or equal to 3, you would graph the line y = -x, which has a negative slope and goes through the point (3, -3). This line represents the function f(x) = -x for x ≤ 3.
For x values greater than 3, you would graph the horizontal line y = 2. This line represents the function f(x) = 2 for x > 3.
The transition from the first segment to the second occurs at x = 3. At this point, you would typically draw an open circle to indicate that the function is defined separately for x ≤ 3 and x > 3.
The graph will consist of a line sloping downward to the left (y = -x) for x ≤ 3 and a horizontal line at y = 2 for x > 3.
Therefore, the correct answer is option b.
Learn more about Analyzing Graphs here:
https://brainly.com/question/12911139
#SPJ3
Which lengths would form a right triangle?
O 9, 12, and 14
O 24,7, and 26
o 21, 16, and 12
O 30, 24, and 18
Answer:
O 30, 24, and 18
Step-by-step explanation:
18^2+24^2=30^2
324+576=900
Final answer:
Using the Pythagorean theorem, only the set of lengths 24, 7, and 26 satisfy the condition for a right triangle, as 24² + 7² equals 26².
Explanation:
The question seeks to determine which set of lengths can form a right triangle. When assessing whether a given set of three lengths can form a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (the legs) is equal to the square of the length of the longest side (the hypotenuse). The formula for the Pythagorean theorem is a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse.
We will check each set of given lengths:
For lengths 9, 12, and 14: 9² + 12² = 81 + 144 = 225, which is not equal to 14² (196), so this is not a right triangle.For lengths 24, 7, and 26: 24² + 7² = 576 + 49 = 625, which is equal to 26² (625), so this set of lengths can form a right triangle.For lengths 21, 16, and 12: 21² + 16² = 441 + 256 = 697, which is not equal to 12² (144), so this is not a right triangle.For lengths 30, 24, and 18: 30² + 24² = 900 + 576 = 1476, which is not equal to 18² (324), so this is not a right triangle.Therefore, the lengths that would form a right triangle are 24, 7, and 26.
A circular pie has an area of 706.5 cm2. What is the radius of
the pie?
A)225cm
B)30cm
C)15cm
D)112.5
[tex]\large\boxed{\text{C}).\,15\,\text{cm}}[/tex]
Step-by-step explanation:In this question, we're trying to find what the radius of the circular pie is.
In this question, we know that the area of the pie is 706.5 cm²
We can use the area to find our radius.
We would use the formula [tex]r=\sqrt\frac{A}{\pi}[/tex] to find the radius.
R= radius
A = Area
Your equation should look like this:
[tex]r=\sqrt\frac{706.5}{\pi}[/tex]
Now, you will solve.
[tex]r=\sqrt\frac{706.5}{\pi}\\\\\text{You can make it simpler by turning}\, \pi\,\text{into} 3.14\\\\r=\sqrt\frac{706.5}{3.14}\\\\\text{Divide 706.5 by 3.14}\\\\r=\sqrt225\\\\\text{Now, get the square root of 225}\\\\r=15[/tex]
When you're done solving, you should get 15.
This means that the radius of the pie is 15 cm.
I hope this helped you out.Good luck on your academics.Have a fantastic day!Final answer:
To find the radius of the pie given its area of 706.5 cm², we use the formula A = πr² and solve for r, yielding an approximate radius of 15 cm. This corresponds to option C) on the given list.
Explanation:
To find the radius of the pie given its area, we can use the area formula for a circle: A = πr². Since the area of the pie is given as 706.5 cm², we can rearrange the formula to solve for the radius (r).
The rearranged formula to solve for the radius is: r = √(A/π).
Substituting the given area, we have:
r = √(706.5 cm²/π)
r = √(706.5/3.14159265359)
r ≈ √(225)
r ≈ 15 cm
Therefore, the radius of the pie is approximately 15 cm, making option C) the correct answer.
The cosine ratio is the ___ side over the hypotenuse
Which of the following functions best describes this graph?
A.y=x2+9x+18
B.y=x2-2x+4
C.y=(x-3)(x-6)
The correct equation for the given graph will be option A that is
y=[tex]x^{2} +9x+18[/tex]
What is an equation?
It is a relationship between two variables and having a equal to sign in between.
How to draw a graph?Firstly we need to find the points of the respective equations.
y=[tex]x^{2} +9x+18[/tex]
y=[tex]x^{2}[/tex]+6x+3x+18
y=x(x+6)+3(x+6)
y=(x+3)(x+6)
Put this equal to 0 and we get x=-3 and x=-6
y=[tex]x^{2} -2x+4[/tex]
It is a wrong equation.
y=(x-3)(x-6)
put this equal to 0 we get x=3 and x=6
Now we have to check in the graph whether points (-3,0)(-6,0) satisfies or (3,0)(6,0)
We can easily see that (-3,0)(-6,0) satisfies the graph.
Hence the correct equation is y=x2+9x+18
Learn more about equations at https://brainly.com/question/2972832
#SPJ2
-2y+x=2y-8 what is the y-int and x-int?
Answer:
x-intercept (-8,0)
y-intercept (0,2)
Step-by-step explanation:
To find the x-intercept, you set y equal to 0.
Like this:
-2(0)+x=2(0)-8
0 +x=0 -8
x= -8
So the x-intercept is (-8,0).
To find the y-intercept, you set x equal to 0.
Like this:
-2y+0=2y-8
-2y =2y-8
Subtract 2y on both sides
-4y=-8
Divide both sides by -4
y=2
So the y-intercept is (0,2)
Which of the following statements must be true, given that ABC= XYZ and AB = 10 cm?
Answer:
XY=10 cm
Step-by-step explanation:
Which expression is equivalent to 3 square root x^5y
The correct equivalent expression for 3√x⁵y=3 is option c. x⁵/³y
Therefore, after simplification, the equivalent expression to 3√x⁵y is x⁵/³y.
The expression 3√x⁵y represents the cube root of x⁵y. To simplify this expression, let's break it down step by step.
First, we can express 3√x⁵y in exponential form:
3√x⁵y =(3x⁵y)¹/³
Using the property (ab)ⁿ=aⁿ⋅bⁿ, we can separate the terms inside the cube root:
(3x⁵y)¹/³ =3(x⁵/³, y¹/³)
Now, let's look at the options provided:
a. x⁵/³y
b. x⁵/³y¹/³
c. x⁵/³y
d.x⁵/³y³
Comparing the simplified expression 3√x⁵y=3(x⁵/³, y¹/³) to the given options: correct equivalent expression for 3√x⁵y=3 is option c. x⁵/³y.
PLEASE HELP AND EXPLAIN HOW TO DO IT IM CONFUSED
[tex]3\sqrt5-2\sqrt7+\sqrt{45}-\sqrt{28}=\\3\sqrt5-2\sqrt7+\sqrt{9\cdot5}-\sqrt{4\cdot7}=\\3\sqrt5-2\sqrt7+3\sqrt{5}-2\sqrt{7}=\\6\sqrt5-4\sqrt7[/tex]
Six more than the quotient of four and a number xxx.
Answer:
[tex]\large\boxed{\dfrac{4}{x}+6}[/tex]
Step-by-step explanation:
Six more than the quotient of four and a number x:
[tex]\dfrac{4}{x}+6[/tex]
Answer:
[tex]\frac{4}{x}+6[/tex]
Step-by-step explanation:
We have been given a word phrase. We are supposed to represent our given word phrase into an algebraic expression.
The quotient of four and a number x will be 4 divided by x. We can represent this information in an expression as:
[tex]\text{Quotient of four and a number }x=\frac{4}{x}[/tex]
Six more than the quotient of four and a number x would be [tex]\frac{4}{x}+6[/tex]
Therefore, our required expression would be [tex]\frac{4}{x}+6[/tex].
Jenson has a basket containing oranges, apples, and pears. He picks a piece of fruit from the basket 40 times, replacing the fruit before each draw. From these 40 trials Jenson estimates that the probability of picking an orange is 0.25, the probability of picking an apple is 0.3, and the probability of picking a pear is 0.45. How many times did Jenson pick an apple during the 40 trials?
[tex]\large\boxed{12\,\text{apples}}[/tex]
Step-by-step explanation:In this question, we're trying to find how many apples Jenson picked from the basket.
Lets gather information that can help us.
Important information:
Picked a fruit from a basket 40 timesProbability of picking an apple is 0.3With the information above, we can solve the question.
We know that he picked up a fruit 40 times, but we need to find how many apples he picked up during the 40 times.
The probability of picking an apple is 0.3, which is equivalent to 30%
This means that 30% of the 40 times he picked an apple.
We would multiply 40 by 0.3 to get our answer.
[tex]40*0.3=12[/tex]
This means that Jenson picked 12 apples.
I hope this helped you out.Good luck on your academics.Have a fantastic day!Answer: B.12
Step-by-step explanation:
tate the order and type of each transformation of the graph of the function
ƒ(x) = –(x + 1)3 + 1 as compared to the graph of the base function.
right 1 unit, reflection about the x-axis, up 1 unit
left 1 unit, reflection about the y-axis, up 1 unit
left 1 unit, reflection about the x-axis, up 1 unit
left 1 unit, up 1 unit, reflection about the x-axis
Answer:
left 1 unit, reflection about the x-axis, up 1 unit
Step-by-step explanation:
This is a cubic that has been moved left 1 unit because of the (x+1)^3 part.
It also has been moved up one unit because of the plus 1 on the outside of the cube.
There has also been a reflection across the x-axis because of the -1 in front of the -(x+1)^3 part.
In general, g(x-h)+k means:
1) the function g has been moved right (if h is positive) or moved left (if h is negative).
2) the function g has been moved up (if k is positive) or down (if k is negative)
Which is a horizontal asymptote of this function?
Answer:
C
Step-by-step explanation:
When both the numerator and denominator of a rational function have the same degree, you divide the highest powered term's coefficients. That is the horizontal asymptote.
Since this function has third degree in both the numerator and denominator, we divide the respective coefficients to find the horizontal asymptote.
So, y = 9/7
Correct answer is C
Note: horizontal asymptote is always in the form y = a (where a is the constant)
what’s the measure of the missing angles?
Answer:
Angle 1 equals 90 degrees. Angle 2 equals 38 degrees.
Step-by-step explanation:
Angle 1 is at the cross of two perpendicular lines, making it 90 degrees. Angle 2 can be found by making the two equal side lengths and the middle line into one triangle. This means that two of the angles are 52 degrees. This leaves 76 degrees to be split in the triangle. The middle line cuts the angle in half, making it 38 degrees
multiply 5x^2-6x+2 4x^2-3x
Answer:
[tex]20x^{4}-39x^{3} +26x^{2}-6x\\[/tex]
Step-by-step explanation:
Multiply the two polynomials by multiplying each term
[tex](5x^{2} -6x+2)(4x^{2} -3x)\\5x^2*4x^2+5x^2(-3x)+(-6)*4x^2+(-6x)(-3x)+2*4x^2+2(-3x)\\20x^{4}-39x^{3} +26x^{2} -6x\\[/tex]
To multiply the given expressions, use the distributive property and combine like terms. The final result is 20x⁴ - 39x³ + 26x² - 6x.
Explanation:To multiply the expression (5x²-6x+2) (4x²-3x), we can use the distributive property. Multiply the first term in the first binomial (5x²) by each term in the second binomial (4x², -3x), and then multiply the second term in the first binomial (-6x) by each term in the second binomial. Finally, multiply the third term in the first binomial (2) by each term in the second binomial. Combine like terms and simplify as needed to get the final result.
Applying this process, we get:
5x² × 4x² = 20x⁴
5x² × -3x = -15x³
-6x × 4x² = -24x³
-6x × -3x = 18x²
2 × 4x² = 8x²
2 × -3x = -6x
Combining all the terms, we have:
20x⁴ - 15x³ - 24x³ + 18x² + 8x² - 6x
Simplifying further, we get:
20x⁴ - 39x³ + 26x² - 6x
Learn more about the Multiplication of Polynomials here:https://brainly.com/question/34232638
#SPJ11
the product of 3 different positive integers is 8 . What is the sum of these integers ?
A : 7
B : 11
C : 13
D : 14
The sum of three positive integers given their product is 7, analyze the factors of the product and sum them up.
The sum of three positive integers whose product is 8 can be found by analyzing the factors of 8.
Given that the product of three different positive integers is 8, the three integers are 1, 2, and 4. Therefore, the sum of these integers is 1 + 2 + 4 = 7.
What is the volume of the composite figure with the dimensions shown in the 3 views? (Round to the nearest tenth)
Answer:
278.9 units^3 to the nearest tenth.
Step-by-step explanation:
This is a cylinder on the bottom . resting on the cylinder is a prism.
Volume of the cylinder = π r^2 h where r = 1/2 * 7 = 3.5 and h = 6.
V = π * 3.5^2 * 6 = 230.907 units^3.
Volume of the prism = l*w*h
= 4*4*3 = 48 units^3.
Volume of the composite figure = 230.907 + 48
= 278.9.
table:
x c(x)
(days) (dollars)
1. 25
2. 45
3. 60
4. 70
Answer:
2) Yes, each x-coordinate is only used once.
3) {1,2,3,4}
4) {25,45,60,70}
5) (3,60)
6) No because (4,7) and (4,25) share the same x-coordinate.
Step-by-step explanation:
A relation is a function if there is no more than one y-value assigned to an x.
Any x used can only be used once in an order pair.
You that here.
(1,25)
(2,45)
(3,60)
(4,70)
So basically because all of the x-coordinates are different, this is a function.
The domain is the x-coordinate of each pair (the first of each pair):
{1,2,3,4}.
The range is the y-coordinate of each pair (the second number of each pair):
{25,45,60,70}.
One ordered pair that I see in the table is (3,60). There are 3 others you can choose and I named them above.
{(4,10),(3,15),(1,5),(2,25),(4,25)} is not a function because there are more than one pairs with the same x-coordinate,4.
FGH is a right triangle. True or False?
Your mouse pointer is covering the number at the hypotenuse, but I assume that it is 10.
We can test to see if the triangle is a right angled triangle by using Pythagoras' Theorem. This is because the Pythagorean Theorem only works with right angled triangles.
The theorem is:
[tex]a^{2} + b^{2} = c^{2}[/tex]
where:
a = length of one leg of the triangle
b = length of the other leg of the triangle
c = the length of the hypotenuse.
If triangle FGH is a right triangle then:
[tex]\sqrt{51}^ {2} + 7 ^{2} = 10^{2}[/tex]
[tex]\sqrt{51} ^{2}[/tex] is just 51
[tex]7^{2}[/tex] is 49
and [tex]10^{2}[/tex] is 100
if we add up 51 and 49 we get 100. And of course, 100 = 100,
Since the theorem works, then the FGH is a right triangle
______________________________________
Answer:
True: FGH is a right angled triangle
After traveling steadily at 400 meters above a shipwrecked hull, a submerged vessel starts to descend when its ground distance
from the hull is 7 kilometers. What is the angle of depression for this part of the travel?
Select one
O a 1.00
6.327
C 86.73
d. 88.00
Answer:
im trying to find this answer too dont worry :(
Step-by-step explanation:
I dont know
Answer:
Option B, [tex]3.27[/tex]
Step-by-step explanation:
Given -
The submerged vessel travel horizontal distance above the shipwrecked hull
[tex]= 400[/tex]
[tex]= 0.4[/tex] kilometers
The vertical distance from the the shipwrecked hull to the ground is equal to [tex]7[/tex] kilometers
There forms a right angled triangle with
Base [tex]= 7[/tex] kilometer
Perpendicular [tex]=[/tex] 0.4 kilometer
Tan (angle) [tex]= \frac{Perpendicular}{Base}[/tex]
Substituting the given values we get -
Angle of depression
[tex]= tan^{-1}(\frac{0.4}{7})\\= 3.27[/tex]
Hence, option B is correct.
Solve for x. Can somebody help me? I don’t understand how to do this.
[tex]-1=\dfrac{5+x}{6}\\\\-6=5+x\\\\x=-11[/tex]
"Solve for x" means get an equation that says " X = something ". It has nothing but X all alone on one side, and the other side tells exactly what X is equal to.
How do you get such an equation ?
-- Take what they gave you in the question.
-- Do anything you want on one side of it, to get X all by itself on that side.
BUT . . .
-- Whatever you do to one side, you must immediately do the same thing on the other side.
Here's how that goes:
Given in the question: -1 = (5 + X) / 6
Multiply each side by 6 : -6 = 5 + X
Subtract 5 from each side: -11 = X
And there you are. It's over almost as soon as it started.
Last week Rachel power walked 2 miles per day on each of the 7 days. During the
same week, she also jogged 5
miles per day on 4 days. What was the total number of
miles Rachel power walked and jogged last week?
Answer: 34 miles
Step-by-step explanation:
First multiply the 2 miles she power walked by the 7 days. (14 miles)
Next, multiply the 5 miles by the 4 days. (20)
Add both numbers, 20+14=34 miles