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kumpel [21]
3 years ago
14

Find the equation in standard form of the line passing through the points (2,-3) and (4,2)

Mathematics
1 answer:
mario62 [17]3 years ago
8 0
The line passes through (2,-3) and (4,2).

Calculate the slope of the line.
m = (2+3)/(4-2) = 5/2

The equation of the line is therefore
\frac{y-2}{x-4} = \frac{5}{2}

Cross multiply.
2(y-2) = 5(x-4)
2y - 4 = 5x - 20
2y = 5x - 16
Rewrite as
5x - 2y = 16

Answer: C. 5x - 2y = 16

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The width of a rectangle is 1 units less than the length. The area of the rectangle is 72 units. What is the width, in units, of
nalin [4]

A = l × w. Substitute 72 into A and fill in the rest of the equation.

w = l - 1. Plug l - 1 into w

72 = l × (l - 1). Multiply l by (l - 1)

72 = l^2 - l. Subtract 72 from each side.

0 = l^2 - l - 72. Factor.

0 = (l + 8) (l - 9). Set each term equal to zero.

(l + 8) = 0. Subtract 8 from each side.

l = -8. Length cant be a negative number so let's try the other term.

(l - 9) = 0. Add 9 to each side.

l = 9. The length is 9.

Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.

The width is 8 units.

8 0
3 years ago
25 miles per hour = how many feet per second
ollegr [7]

Answer:36.67 i think

Step-by-step explanation:

5 0
4 years ago
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In 2001, the value of a plot of land is $12,000. Each year, the value of the plot increases by 8%.
olga2289 [7]
F(x)=12,000(1.08)^x

The answer is the first equation.
The equation increases so 1 is added to 0.08 (8%).
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4 years ago
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If one of the roots of the equation x²- 4x + k=0exceeds the other by 2, then find the roots and determine the value of k
BaLLatris [955]

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

6 0
3 years ago
I will mark you as brainlinest for correct answer!!!!!pleaseeeee help!!!!!!
mel-nik [20]
A^2 - b^2 = (a+b)(a-b)

answer :

t^2 - 1
n^2 - 225 
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3 years ago
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