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sertanlavr [38]
3 years ago
8

Find the equation of the line that passes through the points (4,1) and (-4, -5)

Mathematics
1 answer:
aleksley [76]3 years ago
8 0
<h2>Answer:</h2>

First, we must find the slope of the line using <u><em>slope formula*</em></u>.

m = \frac{-5 - 1}{-4 - 4} = \frac{-6}{-8} = \frac{3}{4}

Second, we now find the y-intercept, or <u><em>b</em></u>, using slope-intercept form, the slope we found, and one of the given points.

1 = \frac{3}{4}(4) + b\\\\1 = 3 + b\\\\-2 = b

Lastly, we can now create the equation of the line.

  • m = \frac{3}{4}\\
  • b = -2

The equation of the line that goes through the given points is C.<em> </em>y = \frac{3}{4}x - 2<em></em>

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523.6

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Following the calculation, and 3.14 for pi, the answer would be 523.6

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X² - y² = z²<br>Express y in terms of x and z.<br>​
lord [1]

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x² - y² = z²

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8 0
3 years ago
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What is the surface area of a triangular prism,
andriy [413]

Answer:

A=132

Step-by-step explanation:

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=3·10+4·10+5·10+1

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8 0
3 years ago
What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
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Hope this helps :)
7 0
3 years ago
Read 2 more answers
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