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n200080 [17]
3 years ago
15

Solve using substitution y=3x-5 2x+5y=-42

Mathematics
1 answer:
Paul [167]3 years ago
6 0

Answer:

Solution point is (-1,-9)

Step-by-step explanation:

Put the value of y in the first equation into the second equation.

  • 2x + 5(3x - 5) = - 42            Remove the brackets on the left
  • 2x + 15x - 25 = - 42            Combine like terms on the left
  • 17x - 25 = - 42                     Add 25 to both sides
  • 17x - 25 + 25 = - 42 + 25    Do the addition
  • 17x = - 17                              Divide by 17
  • 17x/17 = -17/17                      Do the division
  • x = - 1    

=======

Solve for y

  • y = 3x - 6
  • x = -1
  • y = 3(-1) - 6
  • y = -3 - 6
  • y = - 9
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3 years ago
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Answer: 150

Step-by-step explanation:

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3 years ago
Help? I'm not sure I understand how to solve this.
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3 years ago
Express answer in exact form.
bazaltina [42]
The answer is 5.13 in²

Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
</span>
Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2            (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in

Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in

Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²

Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²

Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 =  5.13 in²
6 0
3 years ago
Read 2 more answers
The center of a circle is at (–10, 6) and it has a radius of 4. What is the equation of the circle?
azamat
[x-(-10)]²+(y-6)²=4²
the answer is (<span>x + 10)^2 + (y – 6)^2 = 16</span>
3 0
3 years ago
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