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drek231 [11]
4 years ago
13

5(×-4)+3×-9×=6-(2×+5)+8×

Mathematics
2 answers:
marta [7]4 years ago
6 0
5x-20+3x-9x=6-2x-5+x

-x-20=1+6x

-x-6x=1+20

-7x=21

X=-3
DerKrebs [107]4 years ago
5 0
Assuming the × signs are actually x's-

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x

Apply the distributive property.

5(x - 4) + 3x - 9x = 6 - (2x + 5) + 8x
5x - 20 + 3x - 9x = 6 - 2x + 5 + 8x

Combine like terms.

5x - 20 + 3x - 9x = 6 - 2x + 5 + 8x
              -1x - 20 = 1 + 6x

Add 20 to both sides.

-1x - 20 = 1 + 6x
       -1x = 21 + 6x

Subtract 6x from both sides.

-1x = 21 + 6x
-7x = 21

Divide both sides by -7.

-7x = 21
   x = -3

Answer:
x = -3

I hope this answers your question!
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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
pentagon [3]

Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

7 0
3 years ago
Choose the congruence theorem that you would use to prove the triangles congruent.
Elena L [17]

<u><em>Answer:</em></u>

SAS

<u><em>Explanation:</em></u>

<u>Before solving the problem, let's define each of the given theorems:</u>

<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

<u>Now, let's check the given triangles:</u>

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by <u>SAS</u> theorem

Hope this helps :)

5 0
3 years ago
Read 2 more answers
How to decompose a parallelogram and rearrange the parts to form a rectangle is.
lukranit [14]

Answer:

a parrellelogram is a rectangle T^T

just that they slanted it.

UNSLANT IT.

if that makes sense.

3 0
3 years ago
Can you Help me please
Evgen [1.6K]

Answer:

-1

Step-by-step explanation:

mn = -3 because 3 × -1 = -3

p^2 = 4 because 2^2 = 4

Then 4 + -3 = -1

6 0
3 years ago
Read 2 more answers
Which expression represents the calculation “subtract 10 from 36, then divided by 6”?
ololo11 [35]
B is the answer bc you need to subtract before divide, so you need the parenthesis around 36-10
5 0
4 years ago
Read 2 more answers
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