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3 years ago

Write the equation of the line that passes through (-2,13) and has a slope of -6

Mathematics

1 answer:

Sergio [31]3 years ago

4 0

Answer:

y-13 = -6(x+2) point slope form

y = -6x+1 slope intercept form

Step-by-step explanation:

We have a point and a slope which means we can use point slope form

y-y1 = m(x-x1)

y-13 = -6(x--2)

y-13 = -6(x+2)

If we want the equation in slope intercept form

Distribute the -6

y-13 = -6x-12

Add 13 to each side

y-13+13 = -6x-12+13

y = -6x+1

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Given the following acceleration function of an object moving along a line, find the position function with the given initial ve

Nezavi [6.7K]

Answer:

Position function is $s(t)=-12t^2$

Step-by-step explanation:

Given $a(t)=-24$ , since velocity is the antiderivative of acceleration, then $v(t)=-24t$ .

Also, since position is the antiderivative of velocity, then $s(t)=-12t^2$ .

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2 years ago

Cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees

yawa3891 [41]

Step-by-step explanation:

$\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180$

But we know that

$\cos 90 = \cos 270 = \sin 180 = 0$

and

$\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}$

so this leaves us with just

$\sec^2 45 \sin 30 = (\sqrt{2})^2 \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}$

6 0

3 years ago

If a circle has the dimensions? given, determine its circumference. a. 21 ft diameter b. Fraction 7 Over pi ft radius

amm1812

Answer:

14 or about 43.98 feet

Step-by-step explanation:

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4 years ago

Suppose that the length of a phone call in minutes is an exponential random variable with parameter λ = 1/ 8. If someone arrives

Elis [28]

Answer:

a) P=0.535

b) P=0.204

c) P=0.286

Step-by-step explanation:

The exponential distribution is expressed as

$F(x>t)=e^{-\lambda t}$

In this example, λ=1/8=0.125 min⁻¹.

a) The probability of having to wait more than 5 minutes

$F(x>5)=e^{-0.125*5}=e^{-0.625}=0.535$

b) The probability of having to wait between 10 and 20 minutes

$F(1020)=e^{-0.125*10}-e^{-0.125*20}\\\\F(10$

c) The exponential distribution is memory-less, so it is independent of past events.

If you have waited 5 minutes, the probability of waiting more than 15 minutes in total is the same as the probability of waiting 15-5=10 minutes.

$F(x>15|t^*=5)=F(x>15)/F(x>5)=\frac{e^{-0.125*15}}{e^{-0.125*5}}=e^{-0.125*(15-5)}\\\\ F(x>15|t^*=5)=e^{-0.125*(10)}=F(x>10)=0.286$

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3 years ago

A dog walker earns $10 plus $3 per dog. What equation represents this model?

xxTIMURxx [149]

10+3x Or 3x+10.
This is because he gets 10 dollars add it to the 3 he gets per dog. The per dog is X as you don’t know how many dogs he gets

6 0

3 years ago