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Vaselesa [24]
3 years ago
6

Factor this expression: 12 + 20

Mathematics
1 answer:
liberstina [14]3 years ago
5 0

Answer:

<h2>12 + 20 = 4 × (3 + 5)</h2>

Step-by-step explanation:

12 = 4 × 3

20 = 4 × 5

12 + 20 = 4 × 3 + 4 × 5 = 4 × (3 + 5)

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I need to solve for p and have a rationalized denominator
Travka [436]

Answer:

p = \pm \dfrac{\sqrt{r(st - 1)}}{st - 1}

or

p = \dfrac{\sqrt{r(st - 1)}}{st - 1}

Step-by-step explanation:

t = \dfrac{p^2 + r}{p^2s}

p^2st = p^2 + r

p^2st - p^2 = r

p^2(st - 1) = r

p^2 = \dfrac{r}{st - 1}

p = \pm \sqrt{\dfrac{r}{st - 1}}

Your picture cuts out the assumption. If the assumption is that all variables are non-negative, then the answer is

p = \sqrt{\dfrac{r}{st - 1}}

p = \dfrac{\sqrt{r}}{\sqrt{st - 1}}}

p = \dfrac{\sqrt{r}}{\sqrt{st - 1}}} \times \dfrac{\sqrt{st - 1}}{\sqrt{st - 1}}

p = \dfrac{\sqrt{r} \sqrt{st - 1}}{\sqrt{st - 1}\sqrt{st - 1}}

p = \dfrac{\sqrt{r(st - 1)}}{st - 1}

7 0
3 years ago
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Answer:

a) Set up triangles where the hypotenuse is 16ft (the ladder) and one of the two edges are 1, 2, 3, 4, 5ft (the base of the ladder).  Use a^2 + b^2 = c^2 where a is the base length, c is the hypotenuse and b is the value you are trying to find.

Ex w/ 1ft base:

1^2 + b^2 = 16^2

1 + b^2 = 256

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b) Simply take your answers from part a) and add 5.5ft (the height of the girl) to them.

Ex w/ 1ft base:

15.97ft + 5.5ft = 21.47ft

c) Using logic here think about it.  Let's take the 1ft base as the example.  Marissa standing on top of the ladder is 21.47ft.  That's clearly not high enough to reach the cat . . . but what happens if Marissa reaches upwards.  As long as her arms can reach roughly 1.53ft above her head she should be able to reach it.

Step-by-step explanation:

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2 years ago
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padilas [110]

1) \overline{UP}

2) \overline{UP} \cong \overline{UP}

3) \overline{UR}

4) \overline{PR}

5) \triangle OUP \cong \triangle RUP by SSS

6) CPCTC

7 0
1 year ago
A bag contains 3 gold marbles, 9 silver marbles, and 20 black marbles. Someone offers to play this game: You randomly select one
Genrish500 [490]
What’s the question?
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A dance studio charges $12 per
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Answer:

you will need to subtract 15% from $12 and get 10.20 now times that by 5 and you will get $51.

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