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3 years ago

The exact value of x

Mathematics

1 answer:

Gennadij [26K]3 years ago

8 0

Answer:

x= $\sqrt{113}$

Step-by-step explanation:

For this problem, you need to know the Pythagorean Theorem, which is A²+B²=C².

First, write down what you know. You need to find the longest side, which is x. The other sides are 8 and 7.
To solve, you need to plug in A with 8 and 7 with B.
Now solve:

8²+7²=C²
64+49=C²
113=C²
$\sqrt{113}$ =C

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3 years ago

Identify the steps you would take to solve each equation. Then solve 7y + 6 + 4y + 13 = 26

andriy [413]

Answer:

7/11

Step-by-step explanation:

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3 years ago

A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the nint

dsp73

Answer:175

Step-by-step explanation:

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4 years ago

If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.

kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

$\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\$

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence $lnv = -2t+ln 7\\v=7e^{-2t}$

since velocity is rate of change of distance s we have

$v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[$

substitute t=0 and s=0

$C=7/2$

So solution for distance is

$s(t) =\frac{-7}{2} (e^{-2t}-1)$

4 0

4 years ago