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3 years ago

What are the solutions of the quadratic equation?

2 answers:

8 0

In this proble, we are asked to determine the roots of the quadratic equation x^2 + 11 x = -24. The standard form is x^2 + 11 x + 24 = 0. the second term is the negative sum of the roots and the third terms is the equal to the product of the roots.Hence the roots should be -3 and -8.

givi [52]3 years ago

6 0

A.-3, -8 (by using quadratic formula)

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Find the perimeter and area of the figure.

Travka [436]

Answer:

The perimeter is 20 cm.

The area is 25 cm^2.

Step-by-step explanation:

The perimeter is the distance around the figure.

This is a square, so each side is the same length.

There are four sides, so

5 + 5 + 5 + 5 = 20 cm

The area of the figure is

s^2

where s is a side

so 5 * 5 = 25 cm^2

7 0

3 years ago

A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an

____ [38]

Answer: 70 meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

$DE=AD+AE$

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Both triangles are right triangles. Therefore, you can calculate the distance between the walls as following:

- Calculate the distance AD:

$cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m$

- Calculate the distance AE:

$tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m$

Therefore the distance between the walls is:

$DE=30m+40m=70m$

6 0

3 years ago

Read 2 more answers

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS

bixtya [17]

Answer:

30%

Step-by-step explanation:

the first solution -30% will be 45% and the second solution added by 30% will be 45%

4 0

2 years ago

Read 2 more answers

Factorize: x²+2+1/x²

andrew-mc [135]

$x^{2}+\frac{1}{x^{2}}+2=\boxed{\left(x+\frac{1}{x} \right)^{2}}$

8 0

2 years ago

A team t-shirt costs $3 per adult and $2 per child. On a certain day, the total number of adults (a) and children (c) who bought

lesya [120]

A+c=100

3a+2c=275, from the first c=100-a making the 2nd equation become:

3a+2(100-a)=275 perform indicated multiplication on left side

3a+200-2a=275 combine like terms on left side

a+200=275, subtract 200 from both sides

a=75, and since c=100-a

c=100=75=25

So the answer is D. 25 children and 75 adults
Equation 1: a+c=100
Equation 2: 3a+2c=275

8 0

3 years ago