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Alekssandra [29.7K]
4 years ago
10

Solve by the substitution method, 3x + 7y = 27 - 7x + y = 41

Mathematics
1 answer:
Arturiano [62]4 years ago
6 0

Answer:

all work is pictured and shown

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For the function below, give the ordered pair if x = 2 f(x)=-3(x+2)2+9
Kay [80]

Answer:

(2, -39)

Step-by-step explanation:

f(x)=-3(x+2)^2+9

f(2)=-3(2+2)^2+9

f(2)=-3(4)^2+9

f(2)=-3(4)(4)+9

f(2)=-3(16)+9

f(2)=-48+9

f(2)=-39

8 0
2 years ago
A straight slide in a playground design makes an isosceles triangle with the
julia-pushkina [17]

Answer:

Option D.

Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
  • Next, we know that the formula for calculating the area of a right angled triangle is given by:

        A = 1/2 (base × perpendicular height)

  • The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
  • Therefore, the formula will be:

       A = 1/2 (x.x)

           =1/2 (x²)

      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

    C² = A² + B²

         = 8² + 8²

         = 128

   C = √128

       = 8√2

However, the answer will not be exact, so we  multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)

Repeating the steps above gives C = √ (16)² + (16)²

                                                           = √256

This corresponds to option D.

3 0
3 years ago
What is the simplified form of √10,000x^64?
kow [346]
<span>c. 100x^8 because the square root or 10k is 100 and 64 is 8

</span>
8 0
3 years ago
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Given the definitions of
Serggg [28]

Answer:

i dont know the question what does it mean

Step-by-step explanation:

8 0
2 years ago
Find the number in the proportion <br> 2/12=5/x
Sliva [168]

Answer: x = 30

2/12 x 5/x

(Cross Multiply)

2x = 60

x = 30

3 0
3 years ago
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