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iVinArrow [24]
2 years ago
5

The points (2,-5) and (5,r) lie on a line with slope 2. Find the missing coordinate r.

Mathematics
1 answer:
Andrew [12]2 years ago
7 0

Answer: r = 1

Step-by-step explanation:

The slope of a line can be represented as \frac{y_2-y_1}{x_2-x_1}.  Plugging in the following values would provide you with:

\frac{(r)-(-5)}{(5)-(2)} =2

\frac{r + 5}{3}  = 2

r + 5 = 6

r = 1

Hope it helps :) and let me know if you want me to elaborate on anything.

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vredina [299]

Answer:

-\frac{10}{3}ft/s

Step-by-step explanation:

We are given that

Height of man=5 foot

\frac{dy}{dt}=-10ft/s

Height of street light=20ft

We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.

ABE and CDE are similar triangle because all right triangles are similar.

\frac{20}{5}=\frac{x+y}{x}

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Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=-\frac{10}{3}ft/s

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3 years ago
Please help me solve
mihalych1998 [28]

Answer:

x = 36.3°

using tane rule:

\sf tan(x)= \dfrac{opposite}{adjacent}

Here!

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

\hookrightarrow \sf tan(x) = \dfrac{22}{30}

\hookrightarrow \sf x= tan^{-1}(\dfrac{22}{30} )

\hookrightarrow \sf x= 36.253^{\circ \:}

\hookrightarrow \sf x= 36.3^{\circ \:}        ( rounded to nearest tenth of a degree)

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Step-by-step explanation:

We want to reflect across the x axis

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That is point C

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How do i evaluate the expression S=8;6s^2
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Good evening

Answer:

<h2>384</h2>

Step-by-step explanation:

s = 8 ⇒ 6s^2 = 6(8)²

                     = 6×64

                     = 384

_____________________

:)

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