Answer:
Area = 139.27 m²
Step-by-step explanation:
Area of the composite figure = area of rectangle + area of semicircle
= (L*W) + ½(πr²)
L = 10 m
W = 10 m
r = ½ of 10 = 5 m
Plug in the values
Area = (10*10) + ½(π*5²)
Area = 100 + 39.27
Area = 139.27 m²
Answer:
-22
Step-by-step explanation:
First do r(3) by replacing x with 3 in r:
2*3^2 + 2 = 2*9 + 2 = 18 + 2 = 20
Then replace r(3) with 20 to do q(20):
-20-2 = -22
Which parabola?

Equation of the parabola
y - y1 = 4p(x - x1)
The Vertex of the parabola given is (0, 0) because it does not have the values of x1 and y1.
Then Vertex = (0,0)
-Look for two values of y to the left and two points to the right.
You can choose the points that you which
x y
-3 y = -(-3)^2 = -9
-1 y = -(-1)^2 = -1
0 y = -(0)^2 = 0
1 y = -(1)^2 = -1
3 y = -(3)^2 = -9
Answer:
AB and CD are parallel lines
Step-by-step explanation:
• Parallel lines have equal slopes
• The slopes of perpendicular lines are negative reciprocals
Calculate the slope m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
let (x₁, y₁ ) = A(1, 4) and (x₂, y₂ ) = B(3, 8)
m =
=
= 2
let (x₁, y₁ ) = C(- 1, 6) and (x₂, y₂ ) = D(3, 14)
m =
=
= 2
Since slope of AB and CD are equal then lines are parallel
Well, since you have the value of b, the first thing you want to do is substitute that value in for b.
5a - 10(3) = 45
10*3 = 30
5a - 30 = 45
Now, to get the variable by itself (a) you have to + 30 because you have to reverse the subtraction.
5a = 75
Now, you divide by 5 to finish getting a by itself.
a = 15
Hope this helps!