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Svetradugi [14.3K]

3 years ago

14

Find the following function of B

1 answer:

levacccp [35]3 years ago

4 0

G(x) = 2x + 1
f(x) = x + 2

B wants you to find g of f of x, or, in other words, g(f(x)).

g(x + 2) = 2(x + 2) + 1
g(x + 2) = 2x + 4 + 1
g(f(x)) = 2x + 5

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Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t

NeTakaya

We have been given that Layana’s house is located at $(2\frac{2}{3}, 7\frac{1}{3})$ on a map. The store where she works is located at $(-1\frac{1}{3}, 7\frac{1}{3})$ .

We are asked to find the distance from Layana’s home to the store

We will use distance formula to solve our given problem.

Let us convert our given coordinates in improper fractions.

$2\frac{2}{3}\Rightarrow \frac{8}{3}$

$7\frac{1}{3}\Rightarrow \frac{22}{3}$

$-1\frac{1}{3}\Rightarrow -\frac{4}{3}$

Now we will use distance formula to solve our given problem.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting coordinates of our given point in above formula, we will get:

$D=\sqrt{(\frac{22}{3}-\frac{22}{3})^2+(\frac{8}{3}-(-\frac{4}{3}))^2}$

$D=\sqrt{(0)^2+(\frac{8}{3}+\frac{4}{3})^2}$

$D=\sqrt{0+(\frac{8+4}{3})^2}$

$D=\sqrt{(\frac{12}{3})^2}$

$D=\sqrt{(4)^2}$

$D=4$

Therefore, the distance from Layana's home to the store is 4 units and option A is the correct choice.

3 0

3 years ago

Read 2 more answers

Write an equation of a line that is perpendicular to the given line and passes through the given point.

weeeeeb [17]

Answer:

• y = -6x-5

Step-by-step explanation:

7 0

2 years ago

N divided by 10 =32.7

sukhopar [10]

N/10 = 32,7
N = 32,7*10
N = 327

5 0

3 years ago

Identify an equation in point-slope form for the line perpendicular to y = 1/4 that passes through (-2, -6)

abruzzese [7]

Perpendicular lines, slope is opposite and reciprocal

so slope of new line = - 4

passes through (-2, -6) in point-slope form

y + 6 = -4(x + 2)

Answer is C. y + 6 = -4 (x + 2)

4 0

3 years ago

Find the slope of the line that passes through the points (2, -5) and (3, -6)

Alecsey [184]

Answer:

slope is -1

Step-by-step explanation:

slope is

m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1

5 0

3 years ago