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faust18 [17]
3 years ago
7

What is the slope of a line with a x-intercept of -3 and a y-intercept of -4?

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

The x intercept is -3 so the point (-3,0) is on the line. This point is on the horizontal x axis. The x intercept is always in the form (NUMBER,0) where you replace "NUMBER" with any number you want.

The y intercept is -4 so we know that (0,-4) is also on the line. This is on the vertical y axis. The y intercept is always in the form (0,NUMBER)

Use the slope formula to find the slope of the line through the points (-3,0) and (0,-4)

m = (y2-y1)/(x2-x1)

m = (-4-0)/(0-(-3))

m = (-4-0)/(0+3)

m = -4/3

The answer is choice B: -4/3

I have a feeling you mixed up x and y somehow when you got -3/4

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Answer:

The value is x =  3.000 * 10^9 \  grains

Step-by-step explanation:

From the question we are told that

      1m^3 = 10^6 cm^3

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So the number of sand grain that is in 1m^3 is mathematically evaluated as

      x =  3000 * 10^6 \  grains

=>  x =  3.000 * 10^9 \  grains

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3 years ago
The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid
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Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

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