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rosijanka [135]
2 years ago
11

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
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