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3 years ago

The image of the point (4, -9) under a translation is (9, -14). Find the coordinates

Mathematics

1 answer:

lilavasa [31]3 years ago

6 0

9514 1404 393

Answer:

(-4, -13)

Step-by-step explanation:

When the translation (T) is added, the image is formed.

(4, -9) +T = (9, -14)

T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)

The same holds for the second point:

(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)

The image of the second point under the same translation is (-4, -13).

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Which graph represents the function h(x) = –(x + 6)3 – 3?

suter [353]

Answer:

Step-by-step explanation:

Please, if you're indicating exponentiation, use the symbol " ^ " to indicate it. Thanks.

The parent function here is f(x) = x^3.

g(x) = (x + 6)^3 has the same graph as does

f(x) = x^3, except that the entire graph of x^3 is translated 6 units to the left.

h(x) = -(x + 6)^3 has the same graph as

does g(x), except that the entire graph of g(x) is reflected in the x-axis.

The graph of h(x) = h(x) = –(x + 6)3 – 3 is the same as that of h(x) except that the entire graph is translated downward by 3 units.

8 0

3 years ago

How do you Reduce to lowest terms ?<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B6%7D%20" id="TexFormula1" title=" \

Gemiola [76]

$\bf \cfrac{4}{6}\implies \cfrac{2\cdot 2}{2\cdot 3}\implies \cfrac{2}{2}\cdot \cfrac{2}{3}\implies 1\cdot \cfrac{2}{3}\implies \cfrac{2}{3}$

4 0

3 years ago

Find the measure of each angle in the problem. TO contains point H.

pickupchik [31]

Answer:

A. 45 and 135

Step-by-step explanation:

Recall: two angles on a straight line forms a linear pair. The pair sum up to 180°.

Thus:

✔️c° + 3c° = 180°

4c = 180

Divide both sides by 4

4c/4 = 180/4

c = 45°

✔️3c = 3(45) (substitution)

= 135°

8 0

2 years ago

Do the ratios 4ft./6ft. and 12sec/18sec form a proportion? Why or why not?

Ilya [14]

Answer:

Yes! There are 3 different explanations I have. Pick your favorite.

Step-by-step explanation:

So we are asked to see if the following equation holds:

$\frac{4 \text{ ft }}{6 \text{ ft}}=\frac{12 \text{ sec }}{18 \text{sec}}$

The units cancel out ft/ft=1 and sec/sec=1.

So we are really just trying to see if 4/6 is equal to 12/18

Or you could cross multiply and see if the products are the same on both sides:

$\frac{4}{6}=\frac{12}{18}$

Cross multiply:

$4(18)=6(12)$

$72=72$

Since you have the same thing on both sides then the ratios given were proportional.

OR!

Put 4/6 and 12/18 in your calculator. They both come out to have the same decimal expansion of .66666666666666666(repeating) so the ratios gives are proportional.

OR!

Reduce 12/18 and reduce 4/6 and see if the reduced fractions are same.

12/18=2/3 (I divided top and bottom by 6)

4/6=2/3 (I divided top and bottom by 2)

They are equal to the same reduced fraction so they are proportional.

8 0

3 years ago

READING Etu has read 12 of the 32 chapters in his assigned book. He

Naddik [55]

Answer:

12 +g=32

Step-by-step explanation:

32 chapters

12 chapters read

-------

20 chapters must read

12+g =32

g=32 - 12

g=20

3 0

3 years ago