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erica [24]
4 years ago
7

What is the equation of the line:

Mathematics
1 answer:
ycow [4]4 years ago
5 0

Answer:

y = -1.5x + 11

Step-by-step explanation:

Because the line is parallel, the equation will have the same slope.  To find the slope, convert the given equation to y=mx+b form.  The equation you get should be y = -1.5x + 3.  The slope will be -1.5.

Now using the y=mx+b form, plug in the points given and the slope we found and solve for b.  

5 = -1.5(4) + b

b = 11

Now, with the slope and b, you should get the equation y = -1.5x + 11.

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The interest rate on a car loan has decreased 29.3% over the last 10 years and is now 7.7%. What was the rate 10 years ago?
Ludmilka [50]

We know that the interest decreased by 29.3%, therefore what was left now is simply just 70.7% of the original, therefore we divide this by 0.707

rate = 7.7% / 0.707

rate = 10.89%

<span>So the rate was 10.89% 10 years ago</span>

4 0
3 years ago
Can someone help me with this question please?
myrzilka [38]

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Step-by-step explanation:

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1/4

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3 years ago
Write the expression as either the sine, cosine, or tangent of a single angle. (2 points)
sattari [20]

Answer:

cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)

Step-by-step explanation:

We will make use of trig identities to solve this. Here are some common trig identities.

Cos (A + B) = cosAcosB – sinAsinB

Cos (A – B) = cosAcosB + sinAsinB

Sin (A + B) = sinAcosB + sinBcosA

Sin (A – B) = sinAcosB – sinBcosA

Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to

cosAcosB + sinAsinB and we know that

cosAcosB + sinAsinB = cos(A – B). Therefore,

cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)

8 0
3 years ago
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