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Svetllana [295]
3 years ago
13

the equation of the line / is -3y+4x=9. write the equation of a line that is parallel to the line / and passes through the point

(-12,6).
Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

Hey!

So before trying to figure out the equation of the line, lets change -3y+4x = 9 into slope-intercept form:

-3y + 4x = 9

-3y = -4x + 9

y = (4/3)x - 3

Now that you have the equation in slope-intercept form we can find the equation of the line parallel to this. One thing that we are given from this equation is the slope of the line, the slope for two parallel lines are the same. So we know that the slope of the line is 4/3. We are also given another point on the line and we can plug this point in for y and x to find the y-intercept or b:

6 = (4/3)(-12) + b

6 = -16 + b

22 = b

Now that we know b, we have both the y-intercept and the slope so our equation would be:

y = (4/3)x + 22

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Step-by-step explanation:

8 0
3 years ago
tyrone opens an account at the local bank by depositing $50 of his birthday money. He continues to deposit $50 each month for 5
Pavel [41]

<u>Answer-</u>

<em>The amount will be </em><em>$8944.62</em><em> after 5 years.</em>

<u>Solution-</u>

We know that,

\text{FV of annuity}=P[\dfrac{(1+r)^n-1}{r}]

Where,

P = Payment = $50 monthly

r = rate of interest compounded monthly= 3\frac{1}{4}=3.25\%=0.0325

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Putting the values in the formula,

\text{FV of annuity}=50[\dfrac{(1+0.0325)^{60}-1}{0.0325}]

=50[\dfrac{(1.0325)^{60}-1}{0.0325}]

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Therefore, the amount will be $8944.62 after 5 years.

5 0
3 years ago
The following figure shows A ABC with side lengths to the nearest tenth.
xz_007 [3.2K]

Answer:

17.7

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a/sin(A) = b/sin(B) = c/sin(C)

the sides are always on the opposite side of the angle.

so,

10/sin(34) = AB/sin(81)

AB = 10×sin(81) / sin(34) = 17.7

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3 years ago
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3 0
3 years ago
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This is actually really simple algebra. All you need to know is that Y= Mx + B 
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6 0
3 years ago
Read 2 more answers
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