The measures of two complementary angles are x and 2x+12. Find the measures of the angles.

What is 0.75 as the lowest possible fraction?

elena-s [515]

The lowest possible fraction is 3/4 because 0.75=75/100 then you divide both terms by 25 and get 3/4

3 0

3 years ago

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Given G(1,2)and K (8,12). Part A: What does it mean to find the point P on GK such that 3(GP) = 2(PK)?

VikaD [51]

It means point P divides segment GK into two segments such that their lengths are related as ...

... GP : PK = 2 : 3

3 0

3 years ago

18. Which function is the result of translating y = x^2 downward by 3 units and to the left by 4 units?

algol13

Answer:

C

Step-by-step explanation:

Given f(x) then f(x + k) represents a horizontal translation of f(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

Here the shift is 4 units to the left, thus

y = (x + 4)²

Given f(x) then f(x) + k represents a vertical translation of f(x)

• If k > 0 then shift up by k units

• If k < 0 then shift down by k units

Here the shift is 3 units down, thus

y = (x + 4)² - 3 → C

6 0

3 years ago

What are the complex zeros of y = x4 +9

Serjik [45]

Answer:

The answer is x = 4√ − 9 , − 4 √ − 9!

The 4 is a part of the radical (-9^1/4)

4 0

3 years ago

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Match the base and height to the volume of the prism. B = 6 square units h = 12 units

Finger [1]

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

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a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

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a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

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D. a base area of 16y² square units and height of y² + y + 3 units

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7 0

3 years ago

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