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belka [17]
3 years ago
7

Which of the following represents the equation of the line passing through (-4,5)

Mathematics
1 answer:
Sergio [31]3 years ago
5 0

Answer:

Answer: y=2x+13.

Step-by-step explanation:

Your input: find the equation of the line perpendicular to the line y=5/2−x/2 passing through the point (−4,5).

The equation of the line in the slope-intercept form is y=5/2−x/2.

The slope of the perpendicular line is negative inverse: m=2.

So, the equation of the perpendicular line is y=2x+a.

To find a, we use the fact that the line should pass through the given point: 5=(2)⋅(−4)+a.

Thus, a=13.

Therefore, the equation of the line is y=2x+13.

Answer: y=2x+13.

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Which measurement is equal to 6 kilograms?
Brut [27]
The answer is 6000 grams
5 0
2 years ago
Write each mixed number as an improper fraction and as a decimal then tell whether the decimal is terminating or repeating.
Sphinxa [80]
7) 29/9; repeating

8) 301/20; terminating

9) -101/20; terminating

5 0
3 years ago
The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

5 0
3 years ago
A:36<br> B:39<br> C:54<br> D:108
nordsb [41]
The answer is 36 my friend too the test and I helped him
3 0
1 year ago
If x=3, Solve, -3x +4 *
eduard

Answer:

-5

Step-by-step explanation:

3x -3 = -9 + 4 = -5

3 0
2 years ago
Read 2 more answers
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