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2 years ago

If f(x) = 2x − 1 and g(x) = f(x + 1), how does the graph of g compare with the graph of f?

Mathematics

1 answer:

BaLLatris [955]2 years ago

8 0

It is 5 units right, and 2 units up

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Determine an equation for the right bisector of the line segment with endpoints J(-5,3) and K(3,-2)

Norma-Jean [14]

Answer:

$y=1.6x+2.1$

Step-by-step explanation:

we know that

The right bisector of the line segment JK is a perpendicular line to the segment JK that pass through the midpoint of segment JK

step 1

Find the midpoint JK

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

$J(-5,3),K(3,-2)$

substitute the values

$M(\frac{-5+3}{2},\frac{3-2}{2})$

$M(\frac{-2}{2},\frac{1}{2})$

$M(-1,\frac{1}{2})$

step 2

Find the slope JK

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

$J(-5,3),K(3,-2)$

substitute

$m=\frac{-2-3}{3+5}$

$m=\frac{-5}{8}$

$m=-\frac{5}{8}$

step 3

Find the slope of the line perpendicular to the segment JK

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=-\frac{5}{8}$ ----> slope of segment JK

Find m_2

substitute

$(-\frac{5}{8})*m_2=-1$

$m_2=\frac{8}{5}$

step 4

Find the equation for the right bisector of the line segment JK

The equation in point slope form is equal to

$y-y1=m(x-x1)$

we have

$m=\frac{8}{5}$

$point\ M(-1,\frac{1}{2})$

substitute

$y-\frac{1}{2}=\frac{8}{5}(x+1)$

Convert to slope intercept form

isolate the variable y

$y-\frac{1}{2}=\frac{8}{5}x+\frac{8}{5}$

$y=\frac{8}{5}x+\frac{8}{5}+\frac{1}{2}$

$y=\frac{8}{5}x+\frac{21}{10}$

$y=1.6x+2.1$

7 0

3 years ago

Can someone tell me which one it is?

Pepsi [2]

Answer:

-16

Step-by-step explanation:

-16... using d = b²-4ac

8 0

2 years ago

Read 2 more answers

Evaluate the expression using the distributive property 8(7+7)

MrRissso [65]

Answer: 112

Step-by-step explanation:

Following PEMDAS, we need to add the numbers in the parenthesis first

8(7+7) becomes 8(14)

Now we just multiply 8 and 14

8(14) = 112

5 0

3 years ago

Read 2 more answers

What is 30=12m I need help

Law Incorporation [45]

30=12m
you divide both sides by 12
so 30/12 is 2.5

8 0

3 years ago

Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determin

LenKa [72]

Answer:

The equation is:

$409 = T - 223$

And the solution is:

$T = 632$

Step-by-step explanation:

Given

Represent Kiran with K and Tyler with T

Kiran score is represented as:

$K = 409$

Also, Kiran scored 223 less than Tyler.

This is represented as:

$K = T - 223$

Substitute 409 for K

$409 = T - 223$

Make T the subject

$T = 409 +223$

$T = 632$

5 0

2 years ago