Step-by-step explanation:
Im not sure if its supposed y = -2x + 1 or y = 2x + 1 but I'll solve the problem for both.
First for y = -2x + 1
Since the line has to be parallel to y = -2x + 1
the slopes would be the same.
so, so far the equation would be
y = -2x + b
now we substitute (5,2) into the equation
2 = -2(5) + b
2 = -10 + b (Add 10 to both sides of the equation)
+10 +10
12 = b
Now that we solved for b
The equation would be
y = -2x + 12
^^ This equation is parallel to y = -2x + 1
Now to solve for an equation parallel to y = 2x + 1
Both equations would have the same slope
So far we would have
y = 2x + b
Now we solve for be by substituting the point (5,2)
2 = 2(5) + b
2 = 10 + b (subtract 10 from both sides)
-10 -10
-8 = b
After solving for b
The equation is
y = 2x - 8
This equation is parallel to y = 2x + 1
Answer:
C) 42.14 cm²
Step-by-step explanation:
<u>Recall the area formulas for a square and circle:</u>
Area of square: A=s²
Area of circle: A=πr²
<u>Given:</u>
π=3.14
s=14
r=s/2=14/2=7
Therefore, the area of the square is A=14²=196 cm²
The area of the two semicircles is A=3.14(7)²=3.14(49)=153.86 cm²
Find the difference between the two areas to get the shaded area:
196 - 153.86 = 42.14
Therefore, the shaded area is 42.14 cm², making C the correct choice.
Answer:
Step-by-step explanation:
it would be like 300 feet more
Answer:
<u>(a) x = 2</u>
Step-by-step explanation:
x - 12 = -8x + 6
First, move all the like terms to one side of the equation. We will move all the x's to the left, and the rest to the right in this equation. (Don't forget to pay attention to the signs of the numbers as you move them over the equal sign.)
x - 12 + 8x = 6
x + 8x = 6 + 12
9x = 18
Next, solve for x by isolating it to one side of the equation. Here, we'll have to divide 18 by 9 (do the opposite of what 9 is doing with x; instead of multiplying it with 18 like it currently is with x, divide 18 by it.)
x =
x = 2
Therefore, your answer is (a), since x = 2.
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