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Karolina [17]
2 years ago
12

Use the following image to assist in your answer. a = - 6 - 9 - 4

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

c^2 = 4^2 + 6^2

c^2 = 16 + 36

c^{2} = 52

Pythagoras' theorem for the middle one :

b^{2} = 6^{2} + a^{2}

Pythagoras' theorem for the biggest one :

(4+a)^2 = c^2 + b^2

16 + 8a + a^2 = 52 + b^2

Using the formula before (for b^2) it becomes :

16 + 8a + a^2 = 52 + (6^2 + a^2)

16 + 8a + a^2 = 52 + 6^2 + a^2

16 + 8a = 52 + 6^2

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

a = \frac{72}{8}

a = 9

Verifying :

b^2 = 6^2 + a^2

b^2 = 36 + 81

b^2 = 117

b^{2} = 117

The biggest one :

(4+a)^2 = c^2 + b^2

(4+9)^2 = 52 + 117

13^2 = 169

True

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PLEASE HELP ME :(<br> God bless.
Dmitriy789 [7]

Answer:

x - 99 ≤ -104 → 2nd line

x - 51 ≤ -43 → 1st line

150 + x ≤ 144 → 4th line

75 < 69 - x → 3rd line

Step-by-step explanation:

Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).

x - 99 ≤ -104

 + 99   + 99

x ≤ -5

There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.

x - 51 ≤ -43

 + 51   + 51

x ≤ 8

There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.

I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.

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3 years ago
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boyakko [2]
23.93 as a percent is 2393%
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2 years ago
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A shark was swimming at 300 feet below sea level. He swam 300 feet up toward the surface. How many feet above sea level is the s
Rom4ik [11]

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Step-by-step explanation: is you are 300 beneath the sea level that's -300 and if you go up 300 ft that +300. So 300+(-300) gives you 0 making the shark at sea level.

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Seven years from now the age (a) of Jose will be __________. Which expression matches this situation? A) 7a
Vladimir79 [104]
I believe the answer is C. 
Sorry if I'm wrong but I hope this helps.
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Answer:

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Step-by-step explanation:


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