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2 years ago

What are the new vertices of quadrilateral ABCD if the quadrilateral is reflected across the x-axis?

Mathematics

1 answer:

Alecsey [184]2 years ago

8 0

Answer:

Step-by-step explanation:

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Please help!! Write in simplest radical form: √7/8 Show how you figured it out

12345 [234]

Given expression: $\sqrt{\frac{7}{8}}$ .

$\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}$

$=\frac{\sqrt{7}}{\sqrt{8}}$

$\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}$

$\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}$

$\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}$

$=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}$

$=\frac{\sqrt{14}}{4}$

$=\frac{\sqrt{14}}{4}$ .

3 0

3 years ago

Solve the equation 2(x-4)=-22

Tcecarenko [31]

Hello Lexi!

<u><em>Answer: ⇒⇒⇒⇒⇒⇒ $x=-7$ </em></u>

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Step-by-step explanation:

First you had to divide by 2 from both sides of equation.

$\frac{2(x-4)}{2}=\frac{-22}{2}$

Simplify.

$\frac{2(x-4)}{2}=x-4$

$\frac{2(x-4)}{2}$

Divide by the numbers.

$\frac{2}{2}=1$

$=x-4$

$\frac{-22}{2}=-11$

Apply the fraction rule.

$\frac{-22}{2}$

$=-\frac{22}{2}$

Then you divide by the number.

$\frac{22}{2}=11$

$=-11$

$x-4=-11$

Add by 4 from both sides of equation.

$x-4+4=-11+4$

Simplify it should be the correct answer.

$x=-7$

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Hope this helps!

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-Charlie

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6 0

2 years ago

Read 2 more answers

Help Asap! 20 points!

VLD [36.1K]

Hello

A. will be your answer.

Hoped This Helped! :D

5 0

3 years ago

The height, h, in feet of a ball above the ground is given by h = −16t2 + 64t + 80, where t is the time in seconds. How long doe

Gwar [14]

Answer:

t = 5 seconds

Step-by-step explanation:

It is given that, the height h, in feet of a ball above the ground is given by :

$h=-16t^2+64t+80$

Where t is in seconds

We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,

$-16t^2+64t+80=0\\\\t=\dfrac{-64\pm \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=\dfrac{-64+ \sqrt{(64)^2-4\times (-16)(80)} }{2\times -16},\dfrac{-64-\sqrt{(64)^2-4\times (-16)(80)} }{2\times -16}\\\\t=-1\ s\ \text{and}\ t=5\ s$

Neglecting negative time.

It means ball will take 5 seconds to hit the ground.

3 0

2 years ago

Quick help please!

pashok25 [27]

Congruent triangles are all the same. Given that the faces of a triangular pyramid are congruent then all its faces are the same. It is also good to note that this pyramid has 4 faces. Given that the surface area of the pyramid is 372m^2, the area of one face will be:
area=(total area)/(number of faces)
=372/4
=93 m^2

4 0

3 years ago