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guajiro [1.7K]
3 years ago
10

Find the length of side a​ HURRRY

Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Step-by-step explanation:

Since it is a right-angled triangle,

we have a² + 5² = 13². (Pythagoras' Theorem)

=> a² = 13² - 5² = 144, a = 12. (C)

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Can you combine like terms without formally showing the distributive property? Explain.
blsea [12.9K]
Yes you can! Say you have 5(2 + x) + 3x. The answer would be 10+8x because when you use the distributive property you will end up getting 5*2 5*x and once you multiply, it's obvious 5 times 2 is 10 and 5 times x will equal 5x. Then you add 5x and 3x and get 8x. So, the simplified expression here is 10+8x. When you have this as an answer it's proving your answer right. You can without using the distributive property. We can have 10+5x+3x and it will be your simplified expression. It's the same thing with equations too.
6 0
3 years ago
-3(x-4)=2x+4-x
Rudik [331]

Answer:

C. x=2

Step-by-step explanation:

-3(x-4)=2x+4-x

-3x+12=x+4

+3x     +3x

-----------------------

12=4x+4

-4       -4

-----------------------

8=4x

--  ---

4   4

-----------------------

x=2

5 0
3 years ago
For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18
anyanavicka [17]

Solution:

Given:

4x-6y\leq-18

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24

\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}

\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}

\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}

Therefore, the correct answers are selected as shown below;

7 0
1 year ago
A storage box has a length of 4 inches, width of 4 inches and height of 3 1/2inches. What is the volume of the box?
ArbitrLikvidat [17]
V=LxWxH
4x4x3 1/2 = 56
7 0
3 years ago
a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately norm
Klio2033 [76]
A score of 85 would be 1 standard deviation from the mean, 74.  Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean.  This means that 100%-68% = 32% of the data is either higher or lower.  32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean.  This means that 16% of the graduating seniors should have a score above 85%.
3 0
3 years ago
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