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3 years ago

What is an equation of the line that passes through the point (-3, 4) and is parallel

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

y = 2/3x + 6

Step-by-step explanation:

If two lines are parallel, that means their slopes are the same.

Rewrite 2x - 3y = 15 to y = 2/3x - 5

The slope is 2/3, so the answer should have a slope of 2/3 as well.

The equation is now y = 2/3x + b

To find b, substitute (-3,4)

y = 2/3x + b

4 = 2/3(-3) + b

4 = -2 + b

6 = b

So the equation is y = 2/3x + 6

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Hw 43 special right triangles

Nutka1998 [239]

Answer:

Step-by-step explanation:

Use the fact that sin 30 =0.5 and cos 30 = sqrt 3/2

we have answers as

8. u=16 and v = $8\sqrt{3}$

9) y=5 and x= $5\sqrt{3}$

10) tan 30 = $\frac{1}{\sqrt{3} }$

So y= $4\sqrt{3}$

x= $8\sqrt{3}$

11) a=22 and b=11

12) b=1.5 and a= $1.5\sqrt{3}$

13) y= $20\sqrt{3}$

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3 years ago

Which set of points does not represent a function

Maurinko [17]

If it is a bunch of dots on a graph, then the answer will be the one that has two sets of dots on the same vertical line (the y axis). so if there are two dots right above and below eachother, that graph is the correct answer.

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2 years ago

A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$