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sattari [20]
3 years ago
13

Write an equation in slope intercept form of the line passing through (5,-4) and is perpendicular to a line whose equation is -2

y=3x-1
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0
Rearrange the given equation in slope intercept form
y =  \frac{3x - 1}{ - 2}  \\ y =  -  \frac{3}{2}  x +  \frac{1}{2}
slope of the required line is
-  \frac{1}{  - \frac{3}{2} }  =  \frac{2}{3}
equation is given by
y - y1 = m(x - x1) \\ y -  - 4 =  \frac{2}{3} (x - 5) \\ y + 4 =  \frac{2x}{3}  -  \frac{10}{3}  \\ y =  \frac{2x}{3}  -  \frac{10}{3}  - 4 \\ y =  \frac{2}{3} x -  \frac{22}{3}
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Simplify an expression for the area of the rectangle.
Goshia [24]

Answer:

39.6x +26.4

Step-by-step explanation:

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3 0
2 years ago
the combined score for yakubu in geography, economics and science is 194. he scored twice as many marks in economics as in geogr
SVETLANKA909090 [29]

The scores of geography, economics and science are 38, 76, 80 respectively.

Let Yakubu scored x marks in geography.

Given that the score of him in economics is twice of the score of him in geography.

So, his score in economics = 2x

Again it is given that, the score in science is 4 more than the score in economics.

So the score in science = 2x+4

According to question the combined total score is 194. So the suitable equation is,

x+2x+2x+4 = 194

Solving the equation we get,

5x+4 = 194

5x = 194-4

5x = 190

x = 190/5

x = 38

So the score in geography = 38

the score in economics = 2x = 2*38 = 76

the score in science = 2x+4 = 2*38+4 = 76+4 = 80

Hence the scores of geography, economics and science are 38, 76, 80 respectively.

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4 0
1 year ago
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Answer:

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Step-by-step explanation:

Given the expression:

xy-4y+4x-16

(xy-4y)+(4x-16)

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y(x-4)+4(x-4)

(y+4)(x-4)

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3 years ago
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