ANSWER
The line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is [tex]y=2x-14[/tex].
EXPLANATION
The equation that is parallel to the line [tex]y=4x-6[/tex] has a slope that is equal to the slope of this line.
By comparing this equation to the general slope intercept form,
[tex]y=mx+c[/tex],this line has slope [tex]m=2[/tex].
Hence the line parallel to this line also has slope [tex]m=2[/tex].
Let [tex]y=mx+b[/tex] be the equation of the line parallel to the line
[tex]y=4x-6[/tex]
We can substitute [tex]m=2[/tex] to obtain;
[tex]y=2x+b[/tex]
If the line passes through the point [tex](12,10)[/tex],then this point must satisfy its equation.
We substitute [tex]x=12[/tex] and [tex]y=10[/tex] to obtain;
[tex]10=2(12)+b[/tex]
We this equation for [tex]b[/tex].
[tex]\Rightarrow 10=24+b[/tex]
[tex]\Rightarrow 10-24=b[/tex]
[tex]\Rightarrow -14=b[/tex]
We substitute this value of [tex]b=-14[/tex] in to [tex]y=2x+b[/tex] to get;
[tex]y=2x+-14[/tex].
Hence the equation of the line that is parallel to [tex]y=4x-6[/tex] through [tex](12,10)[/tex] is [tex]y=2x-14[/tex].
abigail has 16 shoes use repeated subtraction to show how many pairs of shoes Abigail has
Hello!
Here is how we solve this question.
We know that 2 shoes = 1 pair
So we subtract 2 from 16 until we reach 0, and count how many times we subtracted.
16-2=14
14-2=12
12-2=10
10-2=8
8-2=6
6-2=4
4-2=2
2-2=0
After we do repeated subtraction we find that Abigail has 8 pairs of shoes!
Hope this helps you with your question.
Since shoes comes in pairs, then the number of shoes Abigael has would be obtained by subtracting 2 from 16 until we obtain 0. Hence, the number of shoes she has is 8.
The total number of shoes = 16
Shoes are in pairs ; Hence 1 pair of shoe = 2 shoes
Using repeated subtraction :
1 ; 16 - 2 = 14
2 ; 14 - 2 = 12
3; 12 - 2 = 10
4; 10 - 2 = 8
5; 8 - 2 = 6
6; 6 - 2 = 4
7; 4 - 2 = 2
8; 2 - 2 = 0
Therefore, the Number of shoes Abigael has is 8
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Write the equation of the line that contains the given point and has the given slope.
a) (2, –2), slope = 1.4
b) (–1, 4), slope = –3
WILL GIVE BRAINLIEST!! 20 PT QUESTION
Hey there!!
What is slope-intercept form :
... y = mx + b
( a ) Given :
... ( 2 , -2 ) and slope=1.4
... y = mx + b
... -2 = 2×1.4 + b
... -2 = 2.8 + b
... -4.8 = b
The slope-intercept form :
... y = 1.4x - 4.8
( b ) Given :
... ( -1 , 4 ) and slope = -3.
y = mx + b
... 4 = -3×-1 + b
... 4 = 3 + b
... 1 = b
The slope-intercept form :
... y = -3x + 1
Note :
( m = slope and b = y-intercept )
Hope my answer helps!!
Answer:
... y = mx + b ( a ) Given : ... ( 2 , -2 ) and slope=1.4 ... y = mx + b ... -2 = 2×1.4 + b ... -2 = 2.8 + b ... -4.8 = b The slope-intercept form : ... y = 1.4x - 4.8( b ) Given : ... ( -1 , 4 ) and slope = -3. y = mx + b ... 4 = -3×-1 + b ... 4 = 3 + b ... 1 = b The slope-intercept form : ... y = -3x + 1 Note : ( m = slope and b = y-intercept ) Hope my answer helps more math stuff
Step-by-step explanation:
What is the slope of this graph?
−1/4
1/4
4
−4
The slope of a graph is the rate of change of the graph
The slope of the graph is that passes through (0,2) and (1,-2) is (d) -4
Start by selecting any two points on the line of the graph
[tex](x_1,y_1) = (0,2)[/tex]
[tex](x_2,y_2) = (1,-2)[/tex]
The slope (m) of the graph is simply the average rate of change of the graph.
It is calculated as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substitute values for x and y
[tex]m = \frac{-2-2}{1 - 0}[/tex]
Simplify
[tex]m = \frac{-4}{1}[/tex]
Divide
[tex]m = -4[/tex]
Hence, the slope of the graph is -4
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Find the area shaded in yellow.
Im not sure but the answer might be 52. I just found the area of the whole box, and then found the area of the red box only. I subtracted the area of the red box from the whole box and got 52.
66 square units, because you count the number of yellow squares
Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function?
A 0 to 100 miles per hour
B 0 to 50 miles per gallon
C times from 0 to 10 minutes
D times from –10 to 10 minutes
Answer:
A) 0 to 100 mph
Step-by-step explanation:
the range would be the mpg, and domain would be speed.
That would be the best presentation.
The maximum safe load of a bridge is 1500kg to the nearest 10kg. An average soldier is 75kg to the nearest kilogram. Work out an estimate for the maximum number of soldiers that can safely cross the bridge at the same time
What is the equation of the following line ?
y = 6x is your answer.
the sum of 4 times a larger integer and 9 times a smaller integer is 3. the difference between 8 times the larger and 3 times the smaller is 27. Find the integers
what is the area of the square
the area of the square would be 49
49 inches (7 multiplied by 7)
Round 0.0695712 to 1 significant figure
It would be 7x10^-2
That number would be rounded to 0.07
the room shown below right is 14ft by 10ft. Find the dimensions of each piece of furniture to the nearest tenth.
The dimension of dresser is :
Length is 6.0 feet
width is 3.0 feet
The dimension of bed is :
Length is [tex]5\sqrt{2}[/tex] = 7.1 feet
Width is [tex]4\sqrt{2}[/tex] = 5.7 feet
The dimension of table:
Length is [tex]2\sqrt{2}[/tex] = 2.8 feet
Width is [tex]2\sqrt{2}[/tex] = 2.8 feet
Answer:
A). Dimensions of the bed = 7.1 ft × 5.7 ft
B). Dimensions of table = 2.8 ft × 2.8 ft
C). Dimensions of the dresser = 6ft × 3ft
Step-by-step explanation:
Dimensions of the room are 14 ft by 10 ft.
We have to find the dimensions of each furniture.
First we take the bed.
Length of the bed = [tex]\sqrt{(5)^{2}+(5)^{2}}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
= 7.07 ft ≈ 7.1 ft
Width of the bed = [tex]\sqrt{4^{2}+4^{2}}[/tex]
= [tex]\sqrt{16+16}[/tex]
= [tex]\sqrt{32}[/tex]
= 5.7 ft
We take another furniture table which is in the square shape,
Side of the table = [tex]\sqrt{2^{2}+2^{2}}[/tex]
= [tex]\sqrt{8}[/tex]
= 2.8 ft
Therefore, each side of the table is 2.8 ft
Length of the dresser = 6 ft
Width of the dresser = 3 ft
Find two numbers the exact answer is between 6 x 7,381
I got 37,286 the steps were...
2 4
7,381
× 6
---------
37,286.
Am I suppose to multiply?
An above ground swimming pool is leaking. After 1/2 hour the pool has leaked 7/8 if a gallon of water. How many gallons of water per hour is the swimming pool leaking?
There are 7/4 gallons leaking per hour. This is the same as 1.75 gallons per hour. Hope this helps! :)
Answer:
[tex]1\frac{3}{4}[/tex] gallons of water will be leaked in one hour.
Step-by-step explanation:
An above ground pool is leaking [tex]\frac{7}{8}[/tex] gallon of water in half an hour.
Therefore, amount of water leaked in one hour will be = 2 × (amount of water leaked in half an hour)
= [tex]2\times \frac{7}{8}[/tex]
= [tex]\frac{7}{4}[/tex]
= [tex]1\frac{3}{4}[/tex] gallons
Therefore, [tex]1\frac{3}{4}[/tex] gallons of water will be leaked in one hour.
How do you solve 24 divided by 3/8?
The quotient from the given division is 64.
Given that, 24 divided by 3/8.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 24 ÷ 3/8
= 24 × 8/3
= 8 × 8
= 64
Therefore, the quotient from the given division is 64.
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stan, a local delivery driver is paid $3.50 per mile driven plus a daily amount of $75. on monday he is assigned a route that is 30 miles long. how much is he being payed for that day?
He is paid 180 dollars for that day
What is the quotient 1074 divided by 26
the answer is 44.75 I would explain but ehhhhhhhhhh
What special marks are used to show that segments are congruent
Simplify: |4 - 2 • 1| - 17|8 - 13|
Step 1. Simplify 2 * 1 to 2
|4 - 2|-17|-13|
Step 2. Simplify 4 - 2 to 2
|2|-17|8-13|
Step 3. Simplify 8 - 13 to -5
2 - 17|-5|
Step 4. Simplify |-5| to 5
2 - 17 * 5
Step 5. Simplify 17 * 5 to 85
2 - 85
Step 6. Simplify
-83
Answer:
your answer is -83
Step-by-step explanation:
Determine the ordered pair that satisfies the equation, 6x - 3y = 5.
a-(9 ,16/3)
b- (6 , -3)
c- (1,−11/3)
d- (-2 ,−17/3)
Given the equation [tex]6x-3y=5.[/tex]
Check all options:
A. [tex]\left(9,\dfrac{16}{3}\right)[/tex], this means that [tex]x=9, y=\dfrac{16}{3}.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.[/tex]
This option is false.
B. [tex]\left(6,-3\right)[/tex], this means that [tex]x=6, y=-3.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot 6-3\cdot (-3)=36+9=45\neq 5.[/tex]
This option is false.
C. [tex]\left(1,-\dfrac{11}{3}\right)[/tex], this means that [tex]x=1, y=-\dfrac{11}{3}.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.[/tex]
This option is false.
D. [tex]\left(-2,-\dfrac{17}{3}\right)[/tex], this means that [tex]x=-2, y=-\dfrac{17}{3}.[/tex] Substitute these numbers into the left side of the equation equation:
[tex]6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.[/tex]
This option is true.
Answer: correct choice is D.
Answer:
Option d
Step-by-step explanation:
Given is a linear equation in x and y as
[tex]6x-3y =5[/tex]
To check whether a point satisfies the equation, let us substitute and check whether the equation holds good
a) [tex]6(9)-3(16/3) = 38 \neq 5[/tex]
b) [tex]6(6)-3(-3) \neq 5[/tex]
c) [tex]6(1)-3(-11/3) = 17\neq 5[/tex]
d) [tex]6(-2)-3(-17/3) = -12+17 =5[/tex]
Since last point satisfies the equation, option d is the answer.
consider the following equation: f(x)=x^2+4\4x^2-4x-8 name the vertical asymptote(s)
ANSWER
The vertical asymptotes are
[tex]\Rightarrow x=2\:or\:x=-1[/tex]
EXPLANATION
We have
[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]
For vertical asymptotes we set the denominator to zero and solve the quadratic equation;
[tex]4x^2-4x-8=0[/tex]
[tex]\Rightarrow x^2-x-2=0[/tex]
We split the middle term to obtain,
[tex]x^2+x-2x-2=0[/tex]
[tex]\Rightarrow x(x+1)-2(x+1)=0[/tex]
[tex]\Rightarrow (x-2)(x+1)=0[/tex]
[tex]\Rightarrow x=2\:or\:x=-1[/tex]
Therefore the vertical asymptotes are
[tex]x=2\:or\:x=-1[/tex]
The vertical asymptotes are x = 2 and x = -1
How to determine the vertical asymptote?[tex]f(x)=\frac{x^2+4}{4x^2-4x-8}[/tex]
Set the denominator to 0
[tex]4x^2-4x-8 = 0[/tex]
Divide through by 4
[tex]x^2-x-2 = 0[/tex]
Expand
[tex]x^2+x-2x-2 = 0[/tex]
Factorize
[tex]x(x+1)-2(x+1) = 0[/tex]
Factor out x + 1
[tex](x-2)(x+1) = 0[/tex]
Solve for x
x = 2 or x = -1
Hence, the vertical asymptotes are x = 2 and x = -1
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Hey! I was wondering if someone could explain to me how solving two-step inequalities works. Thanks!
Here is the inequality:
[tex]-2x+6<20[/tex]
You're looking for x. To find it, you have to remove everything on the same side of the variable. The only thing with it is positive 6. To remove it, you have to do the opposite of it, which is -6, which is also the same as subtracting 6. Subtract 6 from both sides:
[tex]-2x+6-6<20-6 \\-2x<14[/tex]
Now you have -2x. When you have a negative variable, the inequality sign changes. Change the sign:
[tex]-2x<14 \rightarrow -2x>14[/tex]
You're looking for x alone. To leave x alone, you have divide both sides by -2 since the variable is -2x. Divide both sides by -2:
[tex]-2x \div -2 > 14 \div -2 \\\\x>-7[/tex]
When dividing a negative number number by a positive or vice versa, the result is ALWAYS negative. That's why in your answer, it's -7.
Your answer is x > -7
GRAPH:
mom trying to help with homework. just need a running start
a wallet containing 5 five-dollar bills, 7 ten-dollar bills, and 8 twenty-dollar bills Is found and returned to its owner. the wallets owner will reward the finder with 1 bill drawn randomly from the wallet. what is the probability that the bill drawn will be a twenty-dollar bill?
The formula for probability is [tex]\frac{number of ideal outcomes}{number of possible outcomes}[/tex]. Because there are 8 $20 bills, there are 8 ideal outcomes and 20 possible outcomes. THis gives us [tex]\frac{8}{20}[/tex] which can be simplified to [tex]\frac{2}{5}[/tex].
The answer is 2/5 or 0.4 or 40%.
Answer:
2/5
Explanation:
There are 5+7+8 = 20 total bills.
Out of these, 8 are twenty-dollar bills.
The probability of choosing 1 twenty-dollar bill is then 8/20, which simplifies to 2/5.
What is the measure of angle a?
A. Cannot be determined
B. 45•
C. 15•
D. 60•
As all angles of the triangle have to give 180 ° and, as the triangle is equilateral (all the angles are equal), the three angles have the same amplitude. 180 ÷ 3 = 60
So, the answer is D.
The measure of angle a (x) is 60 degrees when all sides of triangle are equal The correct answer is option D: 60°.
Since all three sides of the triangle ABC have equal lengths (15 units each), we can determine that this is an equilateral triangle. In an equilateral triangle, all three angles are congruent, meaning they have the same measure.
Let's represent the measure of angle a as "x."
In an equilateral triangle, the sum of all three angles is 180 degrees. So, we can write the equation:
x + x + x = 180
Combine like terms:
3x = 180
Now, divide by 3 to solve for x:
x = 180 / 3
x = 60
Therefore, the measure of angle a (x) is 60 degrees.
The correct answer is option D: 60°.
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35 POINTS!!!
What is the solution to the inequality?
-2/3 (2x - 1/2)<= 1/5x - 1
-2/3(2x-1/2) ≤1/5x-1
Simplify the left side:
-4/3x+1/3 ≤1/5x-1
Subtract 1/5x from each side:
-23/15x + 1/3≤-1
Subtract 1/3 from each side:
-23/15x ≤-4/3
Divide both sides by -23/15:
X = -4/3 / -23/15
X ≥ 20/23
Convert to interval notation:
[ 20/23 , ∞)
Solve 6x^2 = 12x − 20.
The answer is
3 + i √21 all divided by 3
3 + i √21/3
Hope I helped! :)
Mark brainliest
what does it mean if am equation is equivalent to 0=0? explain.
This means it has infinite solutions congrats. When solving algebraic equations you can find one solution, no solutions. When you have infinite solutions that means that equations has multiple things that can equal it.
If the equation 0=0, then its solution is that x can take any real value.
The given equation is 0=0.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
We obtain 0=0, this means the equation is in fact an identity which is true for all values of x. As an equation, its solution is that x can take any real value (assuming we are supposed to be finding real solutions).
Therefore, if the equation 0=0, then its solution is that x can take any real value.
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Explain and demonstrate how to change 4/20 into a percent
4/20 is equivalent to 20%.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following fraction -
4/20
We can convert it into percent as -
[x]% = (4/20) x 100
[x]% = 20%
Therefore, 4/20 is equivalent to 20%.
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Al bought 24 stickers. He gave away 11 stickers. Then he bought 8 more stickers.
Write an expression that will match the words
Al bought 24 stickers, gave away 11, then bought 8 more. The numerical expression representing this situation is '24 - 11 + 8'.
Explanation:The word problem describes Al's activity concerning stickers. To turn the words into a numerical expression, each operation performed by him needs to be included. Initially, Al bought 24 stickers. Then, he gave away 11 stickers. Lastly, he bought 8 more stickers. By using these actions as a guide, the equivalent numerical expression would be '24 - 11 + 8'.
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Find two consecutive whole numbers that /53 lies
26 and 27.
Consecutive numbers are pairs of numbers like 1 and 2 or 5 and 6. One number right after the other to equal the whole number. Subtract 1 from 53 to get 52 then divide 52 by 2 to get 26. Then just add the 1 back on to get 26 and 27 to equal 53.
Hope this helped! :)