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2 years ago

8

How does the reflection of a square over the x-axis affect the interior angles of the square?

1 answer:

nignag [31]2 years ago

6 0

Interior angles of a square always sum to 360°. A reflection in the x-axis would not change this.

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Factor completely 4u^2-28u+49

icang [17]

$\bold{Answer}$

$\boxed{\bold{\left(2u-7\right)^2}}$

$\bold{Explanation}$

$\bold{Factor: \ 4u^2-28u+49}$

$\bold{---------------------}$

$\bold{Rewrite \ 4u^2-28u+49: \ \left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

$\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

$\bold{Apply \ Perfect \ Square \ Formula \ \left(a-b\right)^2=a^2-2ab+b^2: \ a=2u,\:b=7}$

$\bold{\left(2u-7\right)^2}$

$\boxed{\bold{Eclipsed}}$

3 0

3 years ago

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Help help help please!!!!!!!!!!

Paul [167]

Answer:

${x}^{2} + 2x + 1$

Step-by-step explanation:

They ask: f(x) - g(x) =

$( {x}^{2} + 3x + 2) - (x + 1)$

${x}^{2} + 2x + 1$

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3 years ago

How can 25/9 be represented as a decimal? PLeasehelp! 1st answer is brainleuses

dolphi86 [110]

Answer:

2.8 or 2.77777

Step-by-step explanation:

9 can go into 25 less than 3 times but more than 2

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3 years ago

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Simplify 2(10−x)+3(12−x)

GarryVolchara [31]

Answer:

-5x + 56

Step-by-step explanation:

Use distributive property to refine.

20 - 2x + 36 - 3x

Combine Like Terms

-5x + 56

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3 years ago

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In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.

ankoles [38]

<h2>Answer:</h2>

$\boxed{\overline{MN}=37.96}$

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find $\overline{MN}$ . Since:

$\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm$

and $\overline{MN}$ is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

$\overline{RN}=\overline{QN}$

By Pythagorean theorem, for triangle NQP:

$\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}$

Applying Pythagorean theorem again, but for triangle MQN:

$\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}$

3 0

3 years ago