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garri49 [273]
3 years ago
13

Solve and verify each of the following systems of linear equations 4y=3x+7 and 9x+4y-139=0

Mathematics
1 answer:
nignag [31]3 years ago
7 0
Rearranging the first equation:-

3x  - 4y = -7 
9x + 4y = 139

12x = 132
x = 132/12 = 11
Substituting fro x in the second equation:-
9(11) + 4y = 139
4y = 139 - 99 = 40
y = 40/4 = 10

Answer x = 4 , y = 10.




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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
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Answer:

The width  of the rectangle is 14'8",  and the length is 33'4"

Step-by-step explanation:

We're given two pieces of information:

The length is eight more than twice the width:

l = 2w + 4

The perimeter is 96 feet:

p = 96

We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:

p = 2l + 2w

We can solve for w by plugging the other two values into the last:

p = 2w + 2l\\96 = 2w + 2(2w + 4)\\96 = 2w + 4w + 8\\88 = 6w\\3w = 44\\w = \frac{44}{3}\\w = 14\frac{2}{3}

Now we can find the length by plugging w into the first equation:

l = 2w + 4\\l = 2(14\frac{2}{3}) + 4\\l = 29\frac{1}{3} + 4\\l = 33\frac{1}{3}

One third of  a foot is four inches, so the width is 14'8" and the length is 33'4"

To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:

p = 2l + 2w\\p = 2(33\frac{1}{3}) + 2(14\frac{2}{3})\\p = 66\frac{2}{3} + 29\frac{1}{3}\\p = 96

So we know our answer's correct

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Multiply it out to get 5/7*1/9=5/63.  This is an exact value of the product.
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If the discriminant of a quadratic equation is equal to -8, which statement describes the roots?
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Answer:

Step-by-step explanation:

A discriminate of -8 is never going to give you a real root. D is wrong

You cannot have just 1 complex root, nor can you have just 1 real root unless the discriminate is 0. A and C are both wrong for the same reason. 1 complex root is impossible. They come in pairs.

So the answer is B. You have 2 complex roots.

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Y=.25x is the only resonable answer

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Answer:

90°.

Step-by-step explanation:

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