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3 years ago

Highschool college-prep math. I need some help on this and if you do would will be greatly appreciated.

Mathematics

1 answer:

tigry1 [53]3 years ago

4 0

Answer:

Step-by-step explanation:

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Find the solution(s) for x in the equation below. x^2 + 10x + 21= 0

Law Incorporation [45]

The solutions for ‘x’ in the given equation are – 3 and - 7

<u>Step-by-step explanation:</u>

Given equation:

$x^{2} + 10 x + 21 = 0$

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get

(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)

x = - 3, -7

Verify above values by multiply both terms,

(x + 3) (x + 7) = 0

$x^{2} + 7 x + 3 x + 21 = 0$

$x^{2} + 10 x + 21 = 0$ (so values obtained from factor method are correct)

Or, can use quadratic formula, for $a x^{2} + b x + c=0$ , the solutions are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In the given equation, a = 1, b = 10, c = 21, apply these in above formula

$x=\frac{-10 \pm \sqrt{10^{2}-(4 \times 1 \times 21)}}{2(1)}=\frac{-10 \pm \sqrt{100-84}}{2}$

$x=\frac{-10 \pm \sqrt{16}}{2}=\frac{-10 \pm 4}{2}$

So,

When $x=\frac{-10+4}{2}=\frac{-6}{2}=-3$

When $x=\frac{-10-4}{2}=\frac{-14}{2}=-7$

Hence, the values for ‘x’ are - 3 and - 7

7 0

3 years ago

Triangle M is similar to triangle N Triangle M has two angles with measures of 32° and

Aneli [31]

Answer:

C . 93° and 55°

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Find the measure of the third angle triangle M

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

Let

x ---> the measure of the third angle Triangle M

$32^o+93^o+x=180^o$

$x=180^o-125^o=55^o$

step 2

Find the measure of the interior angles triangle N

Remember that

Triangle M and Triangle N are similar

That means

corresponding angles are congruent

The measure of the interior angles triangle N are

$32^o,93^o,55^o$

therefore

The answer is

C . 93° and 55°

8 0

3 years ago

Find the area of this

Nataly_w [17]

Answer:

375 meter square

Step-by-step explanation:

as area od 2D square is

Length * height

so we have 15 meters * 25 meters =375 meters sqaured

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The following graph shows the proportional relationship between the cost and duration of a car rental.Which statements about the

disa [49]

Answer: A

Step-by-step explanation:

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