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4 years ago

7

A car is traveling at a constant velocity. After two hours the car has traveled 110 miles. After four hours the car has traveled

220 miles. Assuming a linear equation fits this situation, find the distance that the car will travel after five hours.

1 answer:

Aleks04 [339]4 years ago

8 0

I will take110+110 which will give me220

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Option 3

The solution for given expression is $\frac{(x - 4)(x - 4)}{(x + 3)(x + 1)}$

<h3><u>Solution:</u></h3>

Given that we have to divide,

$\frac{x^2 -16}{x^2 + 5x + 6} \div \frac{x^2 + 5x + 4}{x^2 -2x - 8}$ ---- (A)

Let us first factorize each term and then solve the sum

Using $a^2 - b^2 = (a + b)(a - b)$

$x^2 -16 = x^2 - 4^2 = (x + 4)(x -4)$ ----- (1)

$x^2 + 5x + 6 = (x + 2)(x + 3)$ ----- (2)

$x^2 + 5x + 4 = (x+1)(x + 4)$ ---- (3)

$x^2 -2x - 8 = (x-4)(x + 2)$ ---- (4)

Now substituting (1), (2), (3), (4) in (A) we get,

$\frac{(x + 4)(x -4)}{(x +2)(x +3)} \div \frac{(x+1)(x+4)}{(x-4)(x +2)}$

To do division with fractions, we turn the second fraction upside down and change the division symbol to a multiplication symbol at the same time. Then we treat this as a multiplication problem, by multiplying the numerators and the denominators separately.

$\frac{(x + 4)(x -4)}{(x +2)(x +3)} \times \frac{(x - 4)(x + 2)}{(x + 1)(x + 4)}$

On cancelling terms we get,

$= \frac{(x -4)(x-4)}{(x + 3)(x + 1)}$

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ivolga24 [154]

Answer: Choice B) SAS

=======================================================

Explanation:

The sides that have the double tickmarks are the same length. This forms one "S" of "SAS".

The square angles are 90 degree angles, or right angles. They are congruent. This forms the "A" of "SAS".

The overlapping sides are the same length, which forms the second "S" of "SAS".

The angle is between the two sides allowing us to use SAS. The order is important.

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