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3 years ago

13

In a local park,a few children were on the monkey bars.the number of children occupying the sides is 1/8 of the number of childr

en playing on the monkey bars,eight children were playing in the sand box if there are 35 children all how many children occupied the slides

1 answer:

Simora [160]3 years ago

7 0

Answer: 3 children occupied the slides

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Ilya [14]

Answer:

x^2 - 9x + 20

Step-by-step explanation:

(x - 4)(x - 5) (have to do the opposite for it to be positive)

FOIL method: X x X = x^2

-5 x X = -5x

-4 x X = -4x

x^2 - 5x - 4x + 20

-5 - 4 = -9 so...

x^2 - 9x +20 is the answer

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3 years ago

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xxTIMURxx [149]

Answer:

$(1-\sqrt{2})a^2$

Step-by-step explanation:

Consider irght triangle PRS. By the Pythagorean theorem,

$PS^2=PR^2+RS^2\\ \\PS^2=a^2+a^2\\ \\PS^2=2a^2\\ \\PS=\sqrt{2}a$

Thus,

$MS=PS-PM=\sqrt{2}a-a=(\sqrt{2}-1)a$

Consider isosceles triangle MSC. In this triangle

$MS=MC=(\sqrt{2}-1)a.$

The area of this triangle is

$A_{MSC}=\dfrac{1}{2}MS\cdot MC=\dfrac{1}{2}\cdot (\sqrt{2}-1)a\cdot (\sqrt{2}-1)a=\dfrac{(\sqrt{2}-1)^2a^2}{2}=\dfrac{(3-2\sqrt{2})a^2}{2}$

Consider right triangle PTS. The area of this triangle is

$A_{PTS}=\dfrac{1}{2}PT\cdot TS=\dfrac{1}{2}a\cdot a=\dfrac{a^2}{2}$

The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:

$A_{PMCT}=\dfrac{(3-2\sqrt{2})a^2}{2}-\dfrac{a^2}{2}=\dfrac{(2-2\sqrt{2})a^2}{2}=(1-\sqrt{2})a^2$

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3 years ago

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Andrei [34K]

Answer:

(3,2)

Step-by-step explanation:

this is an intersecting lines which means it has one solution

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2 years ago

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Answer:

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Step-by-step explanation:

It reflects off of A and translates to the right over B

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tiny-mole [99]

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