Answer: {y,x} = {4,2} ) ) ) )4
Step-by-step explanation: y
[2] y = -2x + 8
// Plug this in for variable y in equation [1]
[1] (-2x+8) - x = 2
[1] - 3x = -6
// Solve equation [1] for the variable x
[1] 3x = 6
[1] x = 2
// By now we know this much :
y = -2x+8
x = 2
// Use the x value to solve for y
y = -2(2)+8 = 4
Solution :
{y,x} = {4,2}
Answer:
∠ EFH = 112°
Step-by-step explanation:
∠ ACD and ∠ EFH are Alternate exterior angles and are congruent, thus
11x - 20 = 9x + 4 ( subtract 9x from both sides )
2x - 20 = 4 ( add 20 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Thus
∠ EFH = 11x - 20 = 11(12) - 20 = 132 - 20 = 112°
The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.
<h3>Quadratic equation</h3>
8x² + 16x + 3 = 0
8x² + 16x = -3
8(x² + 2x) = -3
- Using completing the square
8(x² + 2x + 1) = -3 + 8
8(x² + 1) = 5
(x² + 1) = 5/8
- Taking the square root of both sides
(x + 1) = ± √5/8
x = -1 ± √5/8
Therefore,
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
Learn more about quadratic equation:
brainly.com/question/1214333
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Answer:
7x-1
Step-by-step explanation:
6+8x-7-x
Combine like terms
8x-x +6-7
7x-1
Answer:
36 in²
Step-by-step explanation:
The figure that is been described is a Parallelogram.
The area of a Parallelogram is = Base × Height
From the question, the Height of the Parallelogram = 4 inches
The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle
= 5 inches + 4 inches
= 9 inches
Area of the Parallelogram = 9 inches × 4 inches
= 36 square inches or 36 in²
