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Artemon [7]
3 years ago
8

Given the function g(m) = √— m − 4 , solve g(m) = 2

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

 2 = \sqrt{-m} - 4

<u>+4  </u>   <u>     +4</u>

6  =   \sqrt{-m}

6²  =   (\sqrt{-m} )²

36 = |-m|

36 = +/-m

36 = m    , -36 = m            +36 is not valid because m ≤ 0

Answer: -36

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The perimeter of a rectangle changes from 2.5 to 10 after a dilation. What was the scale factor of the dilation?
kozerog [31]

Answer:

4

Step-by-step explanation:

To find the scale factor divide the new length by the original.

10/ 2.5 = 4

The scale factor is 4.

6 0
3 years ago
On Monday, 408 students went on a trip to the 200 All 7
kap26 [50]

Answer:

57

Step-by-step explanation:

408-9 =399

399/7 =57

7 0
3 years ago
Tara started reading at 8:50 A.M. and stopped reading at 11:05 A.M. How long did Tara read?
Gwar [14]
She read 3 hours and 15 minutes.

Hope this helps!
5 0
3 years ago
The lateral surface area of cone A is exactly 1/2 the lateral surface area of cylinder B. Cone A radius is r and height h - Cyli
Mrac [35]

The ratio of the <em>lateral surface</em> area of cone A to the <em>lateral surface</em> area of cylinder B is equal to r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}. (Correct choice: False)

<h3>What is the ratio of lateral area of cone to the lateral area of the cylinder?</h3>

In accordance with <em>space</em> geometry, the <em>lateral</em> areas of the cone and cylinder are described by the following equations:

Cone

A_{l} = \pi \cdot r \cdot \sqrt{r^{2}+h^{2}}     (1)

Cylinder

A_{l} = 2\pi\cdot r\cdot h     (2)

If we divide (2) by (1), then we have the following ratio:

r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}

The ratio of the <em>lateral surface</em> area of cone A to the <em>lateral surface</em> area of cylinder B is equal to r = \frac{1}{2}\cdot \frac{\sqrt{r^{2}+h^{2}}}{h}. (Correct choice: False)

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

3 0
2 years ago
Can you solve the equation 2/3(4x-5)=8 by using the Division Property of Equality? Explain.
Nata [24]
To solve for X you need to simplify both sides on the equation 
<span><span><span>23</span><span>(<span><span>4x</span>−5</span>)</span></span>=8

</span><span><span><span><span>(<span>23</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>23</span>)</span><span>(<span>−5</span>)</span></span></span>=8 *</span>Distribute*

<span><span><span><span>8/3</span>x</span>+<span><span>−10/</span>3</span></span>=<span>8

after that you add 10/3 on both sides 

</span></span><span><span><span><span><span>8/3</span>x</span>+<span><span>−10/</span>3</span></span>+10/3</span>=<span>8+10/3</span></span><span><span><span>8/3</span>x</span>=<span>34/<span>3

finally multiply 3/8 on both sides 
</span></span></span><span><span>(<span>3/8</span>) x </span><span>(<span><span>8/3</span>x</span>)</span></span>=<span><span>(<span>3/8</span>) x </span><span>(<span>34/3</span><span>)

and your answer should be 
X= 17/4
</span></span></span>
3 0
3 years ago
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