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kobusy [5.1K]
2 years ago
9

" title="x^{2} + 36x + 324 = (x + m)^{2} " alt="x^{2} + 36x + 324 = (x + m)^{2} " align="absmiddle" class="latex-formula">
which of the following is the value of m?
A. 36
B. 18
C. 12
D. 6
​
Mathematics
2 answers:
Harman [31]2 years ago
6 0
This answer to this question is B
nasty-shy [4]2 years ago
5 0

Answer:

B. 18

Step-by-step explanation:

x^{2} + 36x + 324 = (x + m)^{2}

(x+18)^{2}= (x + m)^{2}

\cancel x+18= \cancel x + m

18= m

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Which word could describe the relationship of the lines containing the points (1, 6) and (1, 3)?
Elan Coil [88]

Answer:

Coincidental

Step-by-step explanation:

<em>If the two lines have the same two points, they must also have the same slope </em><em>and</em><em> the same y intercept. From this we can deduct that they are actually the same line. Two lines that are directly on top of each other are considered coincidental lines.</em>

3 0
3 years ago
I need help with #39-42, please explain.
shusha [124]

For question 39 & 40, we need to use the below equation to complete the sentence

l=m\sqrt{n}

Question 39:

When ' n ' increase, the \sqrt{n} will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As n increases and m stays constant , l <u>increases</u>

-------

Question 40:

Solving the equation for m, we get

l = m\sqrt{n} \\ \\ m=\frac{l}{\sqrt{n}}

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As l increase and n stays constant, m <em><u>increases</u></em>

------

For question 41 & 42, we need to use the below equation to complete the sentence

r=s^2/t^2

Question 41:

When s is triped, the equation will be...

r=(3s)^2/t^2=\frac{3^{2}s^{2}}{t^2}   =9s^2/t^2

Solution for question 41:

If s is tripled and t stays constant, r is multiplied by <em><u>9</u></em>

--------

Question 42:

When t is doubled, the equation will be...

r=s^2/(2t)^2=\frac{s^2}{2^2 \cdot t^2}=\frac{s^2}{4t^2}\\   \\ r=0.25s^2/t^2 \; \; (or) \; \; \frac{1}{4} \cdot \frac{s^2}{t^2}

Solution for 42:

If t doubled and s stays constant, r is multiplied by <em><u>1/4 or 0.25</u></em>


3 0
3 years ago
4+3(2r+2s)+3r<br><br> Simplify this expression
Ipatiy [6.2K]
Hello!

First you can distribute the 3

4 + 6r + 6s + 3r

Then you combine like terms

4 + 9r + 6s

The answer is 9r + 6s + 4

Hope this helps!
3 0
3 years ago
The ordered pair (4, -8) is in the 4th quadrant if we took the opposite of the x- value and the opposite of the y-value, which q
harina [27]

9514 1404 393

Answer:

  2nd quadrant

Step-by-step explanation:

Reversing the signs of both coordinates reflects the point across the origin. The quadrant diagonally opposite quadrant 4 is quadrant 2.

_____

You recall that quadrants are numbered 1 to 4 counterclockwise, starting from upper right.

8 0
3 years ago
Find the volume of this square<br> based pyramid.<br> 10 cm<br> 8 cm<br> 8 cm<br> V = [?] cm3
oksano4ka [1.4K]

Answer:

213.3

Step-by-step explanation:

The volume of a pyramid is 1/3 base times height.

Using this formula, our square base is 8*8, or 64 square units.

Multiplying that by the height, 10. We get 64*10, 640.

Finally dividing by 3, we have 213.3333333333...

Rounding that to the nearest tenth, 213.3.

3 0
3 years ago
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