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12345 [234]
3 years ago
7

Find the missing side lengths.

Mathematics
1 answer:
CaHeK987 [17]3 years ago
4 0

Use the Pythagorean theorem:

x^2+8^2=17^2\\\\x^2+64=289\qquad\text{subtract 64 from both sides}\\\\x^2=225\to x=\sqrt{225}\\\\\boxed{x=15\ ft}

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X = 7 + 3y
pogonyaev
<h3>Given Equation:</h3>

x = 7 + 3y

or, x - 3y - 7 = 0 ........ (i)

5x + 6y = 14

or, 5x + 6y - 14 = 0 .........(ii)

<h3>To Find:</h3>

The value of x and y.

<h3>Solution:</h3>

By dividing eq. ii by 2, we get

5/2x + 3y - 7 = 0 ........ (iii)

By adding eq. i and eq. iii, we get

15/2x = 0

or, <u>x = 0</u> ........(iv)

By putting eq.(iv) in eq. (i), we get

0 - 3y - 7 = 0

or, -3y = 7

or, <u>y = </u><u>-</u><u>7/</u><u>3</u>

<h2>Answer: ( 0, -7/3 )</h2>

The value of x and y is 0 and -7/3 respectively.

5 0
3 years ago
Read 2 more answers
Which expressions are equivalent to z + (z + 6)
elixir [45]

Answer:

C  2(z+3)

Step-by-step explanation:

z+(z+6)

Combine like terms

2z+6

We can factor out a 2 from each term

2(z+3)

7 0
2 years ago
If 5 times a number increased by 30 is 15, what is the number?
weqwewe [10]

Answer:

let x=the number

5x+30=15

5x=15-30

5x=-15

5x/5=-15/5

x=-3

3 0
3 years ago
Read 2 more answers
4. Is it possible to have a triangle with the sides 6.1 cm, 3.2cm, 2.4cm? Justify your reason with suitable reason.
Dahasolnce [82]
Answer: No
Explanation: There is a rule that stays that a triangle's 2 least sides must add up to be greater than the biggest side. 3.2 plus 2.4 is not greater than 6.1.
3 0
2 years ago
What is 1/2(x+14) because i am having trouble solving it and no calculator has been able to help me also.
ivann1987 [24]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

\frac{1}{2}x+7

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow     \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
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