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3 years ago

What is the solution set of the quadratic inequality x^2-5<_0

Mathematics

1 answer:

Juliette [100K]3 years ago

4 0

Answer:

-sqrt(5) ≤ x ≤ sqrt(5)

Step-by-step explanation:

x^2-5≤0

Add 5 to each side

x^2-5+5≤0+5

x^2 ≤5

Take the square root of each side, remembering to flip the inequality for the negative sign. Since this is less than we use and in between

sqrt(x^2) ≤ sqrt(5) and sqrt(x^2) ≥ -sqrt(5)

x ≤ sqrt(5) and x ≥- sqrt(5)

-sqrt(5) ≤ x ≤ sqrt(5)

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What are the possible values of x in 8^2+4x = -1

jeyben [28]

Answer:

So we can simplify this to

36+4x=-1

We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is

x = -37/4 = -9.25.

So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.

<h2 /><h2><u>Answer: -9.25</u></h2>

7 0

3 years ago

Samantha and Mia each left Julia’s house at the same time. Mia walked north at 7 kilometers per hour. Samantha ran west at 11 ki

Lena [83]

Mia walked 7km/h so after 1 hour, she is 7 km north of the house of Julia

Samantha walked 11km/h so after 1 hour, she is 11 km west of the house of Julia.

The points where Mia and Samantha are after 1 hour , and the house of Julia form a right triangle with sides 7 and 11 km. The distance between the girls, is the hypotenuse of his triangle.

by the pythagorean theorem:

$MS= \sqrt{ 7^{2} + 11^{2} }= \sqrt{49+121}= \sqrt{170}= 13 (km)$

Answer: 13 km

3 0

3 years ago

Read 2 more answers

A right triangle has legs measuring 4.5 meters and 1.5 meters. The lengths of the legs of a second triangle are proportional to

Eduardwww [97]

Any multiples of 4.5:1.5 would work because being proportional just depends on whether you can reduce to get the same answer of the first triangle. You could do anything like 9m and 3m or 27m and 9m

4 0

3 years ago

HELPPPPPPPPP ASAPPPPPPPP PLSSSS

yanalaym [24]

-1/3(px-2) = 9

ok! so first we want to isolate x.

multiply both sides by -3/1 (this is the reciprocal of -1/3)

(px-2) = -27

px = -27 + 2

px = -25

x = -25/p

hope this helped!

8 0

3 years ago

Suppose the radius of a circle is 8. What is its area?

monitta

The Formula to find the Area of a circle using the radius is:
$A = \pi r^2$

r = 8
So:
$A = \pi r^2$
$A = \pi 8^2$
$A = \pi64$

And you get about 201.06193

So, the area of a circle with a radius of 8 is about 201.06

Hope this Helps :)

3 0

3 years ago