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Ksivusya [100]
3 years ago
11

Factor 4x2-100 completely

Mathematics
1 answer:
expeople1 [14]3 years ago
5 0
You just have to use the squares one to factor this and this is what I got.

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Which choices are equivalent to the expression below? Check all that apply.<br> 5 square root 3
blsea [12.9K]

Option A: \sqrt{75}

Option C: \sqrt{15} \cdot \sqrt{5}

Option F: \sqrt{25} \cdot \sqrt{3}

Solution:

Given expression is 5 \sqrt{3}.

Option A: \sqrt{75}

\sqrt{75}=\sqrt{25\times3}

       =\sqrt{5^2\times3}

       =5\sqrt{3}

Hence \sqrt{75} is equivalent expression of 5 \sqrt{3}.

Option B: \sqrt{45}

\sqrt{45}=\sqrt{9\times5}

       =\sqrt{3^2\times5}

       =3\sqrt{5}

Hence \sqrt{45} is not equivalent expression of 5 \sqrt{3}.

Option C: \sqrt{15} \cdot \sqrt{5}

\sqrt{15} \cdot \sqrt{5}=\sqrt{15\times5}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{15} \cdot \sqrt{5} is equivalent expression of 5 \sqrt{3}.

Option D: \sqrt{3} \cdot \sqrt{5}

\sqrt{3} \cdot \sqrt{5}=\sqrt{3\times5}

            =\sqrt{15}

Hence \sqrt{3} \cdot \sqrt{5} is not equivalent expression of 5 \sqrt{3}.

Option E: 75

75 is a whole number.

Hence 75 is not equivalent expression of 5 \sqrt{3}.

Option F: \sqrt{25} \cdot \sqrt{3}

\sqrt{25} \cdot \sqrt{3}=\sqrt{25\times3}

              =\sqrt{75}

              =5\sqrt{3}    (proved in option A)

Hence \sqrt{25} \cdot \sqrt{3} is equivalent expression of 5 \sqrt{3}.

Therefore, \sqrt{75},\ \  \sqrt{15} \cdot \sqrt{5}, \  \ \sqrt{25} \cdot \sqrt{3} are all equivalent expressions of 5 \sqrt{3}.

6 0
3 years ago
Find x<br><br> PLEASE HELP ME !! 11 POINTS !
iris [78.8K]

Answer:

5

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp /hyp

sin 30 = x / 10

10 sin 30 = x

10 * 1/2 = x

5 =x

4 0
3 years ago
Solve for x and round to nearest tenth for both please and Thankyou:)
Orlov [11]

Answer:

For the first picture, 57.14

For the second picture, 27.04

5 0
2 years ago
* WILL GIVE BRAINLIEST* (06.04 LC)
sleet_krkn [62]
This is in slope-intercept form, y=mx+b.  m is the slope (b is the intercept).  So the slope here is 8.
3 0
3 years ago
I NEED HELP!!!!!!!!!!!
Artist 52 [7]

Answer:

50-3 x 12 - 9

Step-by-step explanation:

3 0
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