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GalinKa [24]
4 years ago
14

Need help with this question

Mathematics
1 answer:
yulyashka [42]4 years ago
5 0

Answer:

  2√11

Step-by-step explanation:

The square of the hypotenuse (h) of the smaller triangle is given by the Pythagorean theorem:

  h² = 6² +8² = 100

The length of x is given by that same theorem:

  h² +x² = 12²

  x² = 12² -h² = 144 -100 = 44 . . . . . subtract h², fill in its value

  x = √44 . . . . . . . . take the square root

  x = 2√11 . . . . . . . simplify the root

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Rus_ich [418]
The answer is $31.50
8 0
4 years ago
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Solve for W.<br><br> 4w-4+2(5w+8)=-2(w+3)<br><br> Simplify your answer as much as possible.
gayaneshka [121]

Answer:

w = -\frac{9}{8}

Step-by-step explanation:

The question is  4w-4+2(5w+8)=-2(w+3)

We can first use distributive property to simplify, the distributive property is  a(b+c)=ab+ac

Thus we have:

4w-4+2(5w+8)=-2(w+3)\\4w-4+10w+16=-2w-6

<em>Now we combine like terms and simplify to get the final answer for w</em><em>.</em>

4w-4+10w+16=-2w-6\\14w+12=-2w-6\\14w+2w=-6-12\\16w=-18\\w=\frac{-18}{16}\\w=-\frac{9}{8}

Thus, w = -\frac{9}{8}

8 0
3 years ago
Read 2 more answers
Find all the points if any where y-4x=12 intersects 2-y=2(x+2)^2
Stells [14]

Answer:

B

Step-by-step explanation:

given the 2 equations

y - 4x = 12 → (1)

2 - y = 2(x + 2)² → (2)

rearrange (1) expressing y in terms of x

y = 12 + 4x

Simplify (2) by expanding factor and substituting y = 12 + 4x

2 - (12 + 4x) = 2(x² + 4x + 4)

2 - 12 - 4x = 2x² + 8x + 8

- 10 - 4x = 2x² + 8x + 8 ← rearrange into standard form

add 10  + 4x to both sides

2x² + 12x + 18 = 0 ← in standard form

divide through by 2

x² + 6x + 9 = 0

(x + 3)(x + 3) = 0 ⇒ (x + 3)² = 0 ⇒ x = - 3

Point of intersection = (- 3, 0 ) → B



4 0
3 years ago
24 points algebra 1 help!
Mademuasel [1]

teacher = 2x+6

principal = 3x+10

principal - teacher

3x+10 - (2x+6)

distribute

3x+10-2x-6

x+4

Choice B

8 0
4 years ago
Plz help me with this math question
jok3333 [9.3K]

Answer:

79

Step-by-step explanation:

Order of operations GERMDAS

Grouping: no grouping

Exponents: 9²=81 so 6÷3+81-4

Radicals: no radicals

Multiplication: no multiplication

Division: 6÷3=2 so 2+81-4

Addition: 2+81=83 so 83-4

Subtraction: 83-4=79

4 0
3 years ago
Read 2 more answers
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