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nlexa [21]
3 years ago
8

A line segment with endpoints A(-4, 3, 2) and B(5, -6, -1) is translated first two units back and 3 units right and 1 unit up th

e image is then translated 7 units to the left
what are the coordinates of B

A. (3, 4, 0)

B. (3, -10, 0)

C. (5, -6, -1)

D. (-4, -10, -7)
Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:

Option B. (3,-10,0) is the right answer.

Step-by-step explanation:

In these questions we should always remember x-axis represents a line in front of us, y-axis represents a line horizontally perpendicular to the line representing x-axis and Z- axis is vertically perpendicular to the x and y- axis.

So shifting front or back means it's a change on x- axis coordinates, shifting right or left means translated on y-axis and moving up and down means translated on z- axis.

Now point for B(5, -6, -1)  

x- axis -- 5 - 2 (shifted 2 units back means moved back on x-axis)

y- axis -- (-6) + 3 (shifted 3 units right means right movement on y-axis)

z-axis -- (-1) + 1 ( shifted 1 unit up means increase in z coordinate)

So the new endpoint will be B'(2, -3, 0)

Now as per question image is further translated 7 units left that means

y-axis -- -3 + (-7) (shifted 7 to the left on y axis)

Therefore new end point will be (3, -10, 0).

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Can someone finish the whole thing ??
Romashka-Z-Leto [24]
<h3>Answer:    y = (3/2)x + 0</h3>

This is the same as  y = (3/2)x

=============================================================

Work Shown:

Find the slope of the line through (x1,y1) = (-2,-3) and (x2,y2) = (2,3)

m = (y2 - y1)/(x2 - x1)

m = (3 - (-3))/(2 - (-2))

m = (3 + 3)/(2 + 2)

m = 6/4

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The slope is the fraction 3/2. This is going to be in front of the x, or to the left of the x.

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Plug m = 3/2 and (x1,y1) = (-2,-3) into the point slope formula. Solve for y.

y - y1 = m(x - x1)

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y + 3 = (3/2)x + (3/2)(2)

y + 3 = (3/2)*x + 3

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3 0
3 years ago
Please help! Given the function problem
dedylja [7]

Answer:

B

Step-by-step explanation:

So we have the function:

f(x)=\frac{9}{5}x+32

To find the inverse, flip f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:

x=\frac{9}{5}f^{-1}(x)+32

Subtract 32 from both sides:

x-32=\frac{9}{5}f^{-1}(x)

Multiply both sides by 5/9. The right side will cancel. Thus:

f^{-1}(x)=\frac{5}{9}(x-32)

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8 0
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pochemuha
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3 years ago
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Answer:

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Step-by-step explanation:

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