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prohojiy [21]
3 years ago
8

The length of a rectangle is 13 centimeters less than four times its width. Its area is 35 square

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

width 5

length 7

Step-by-step explanation:

W * L = 35

L = 4 * W - 13

W * (4W-13) = 35

4 W^2 - 13 W - 35 = 0

delta = 169 + 4*4*35 = 729 = 27^2

W = (13 + 27) / 8 = 5 (its the only solution since 13 - 27 is less than 0 which makes no sense)

L = 4 * 5 - 13 = 7

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Vera_Pavlovna [14]

You're lucky that I was able to do this :)

The answer is \huge\boxed{\frac{1}{4}}

8 0
2 years ago
Simplify (6x2 + 11x − 3) + (2x2 − 17x − 4).
d1i1m1o1n [39]

Answer:

B. 8x^2-6x-7

Step-by-step explanation:

All you have to do is combine the like terms.

Like terms are the terms that have the same variable and same exponent.

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When you add 6x^2 and 2x^2, you get 8x^2

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8 0
2 years ago
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lutik1710 [3]

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4 0
3 years ago
In $\triangle abc$, points $x$ and $z$ are on $\overline{ab}$ and $y$ is on $\overline{ac}$ such that $\overline{xy}\parallel \o
svp [43]

To solve this problem, we must imagine the triangles and parallel lines which are formed. It is best to draw the triangle described in the problem so that you can clearly understand what I will be talking about.

The first step we have to do is to make an equality equation in triangle ABC.

In triangle ABC, we are given that lines XY and BC are two parallel lines (XY || BC).  Therefore this means that:

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The next step is to make an equality equation in triangle AXC.

We are given that lines ZY and XC are two parallel lines (ZY || XC). Therefore this also means that:

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Combining 1 and 2 since they have both AY / YC in common:

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we are given that:

AZ = 8, ZX = 4 therefore AX = AZ + ZX = 12, hence

12 / XB = 8 / 4

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7 0
3 years ago
A swimmer ascended in the pool 2/3 meters at a time. She did this 8 times to reach the surface of the pool. What is the distance
seraphim [82]

Answer:

Step-by-step explanation:

So 8 times more than 2/3

6 0
2 years ago
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