Answer:
x=3, y=-1
Step-by-step explanation:
We are already given an equation solved for x, making substitution much easier. We know x=4y+7, meaning we can put 4y+7 whenever we see x in the second equation
2x-6y=12
We substitute 4y+7 in place of x
2(4y+7)-6y=12
Now we only have one variable to work on, distribute the 2
8y+14-6y=12
Combine similar terms, 8y-6y=2y
2y+14=12
Subtract 14 from both sides
2y=-2
y=-1
Now we plug in -1 for y in the first equation to find x
x=4(-1)+7
x=-4+7
x=3
Answer is c) $157.61
Gross Income - $215
Deductions- $15.16
FICA Tax- $29.33
State Tax- $215 x 0.02 (2%)
City Tax- $215 x 0.01 (1%)
Retirement Fund- $215 x 0.03 (3%)
--------------------------------------------------
Total- $57.39
Gross Income - $215 - $57.39 = $157.61
By definition of <em>surface</em> area and the <em>area</em> formulae for squares and rectangles, the <em>surface</em> area of the <em>composite</em> figure is equal to 166 square centimeters.
<h3>What is the surface area of a composite figure formed by two right prisms?</h3>
According to the image, we have a <em>composite</em> figure formed by two <em>right</em> prisms. The <em>surface</em> area of this figure is the sum of the areas of its faces, represented by squares and rectangles:
A = 2 · (4 cm) · (5 cm) + 2 · (2 cm) · (4 cm) + (2 cm) · (5 cm) + (3 cm) · (5 cm) + (5 cm)² + 4 · (3 cm) · (5 cm)
A = 166 cm²
By definition of <em>surface</em> area and the <em>area</em> formulae for squares and rectangles, the <em>surface</em> area of the <em>composite</em> figure is equal to 166 square centimeters.
To learn more on surface areas: brainly.com/question/2835293
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Answer:
m = 0
Step-by-step explanation:
(5, 0) (-3, 0)
m = slope
m = y2 - y1 ÷ x2- x1
m = 0 - 0 ÷ -3 -5
m = 0 ÷ -8
m = 0