Answer:
Area of Triangle = 1/2 bh
A = 1/2 (16 cm x 10 cm)
A = 160 cm2/2
A = 80 square cm
Area of Circle = d2/4
A = 3.14 x (16 cm)2 / 4
A = 3.14 x 256 cm2 / 4
A = 803.84 cm2 / 4
A = 200.96 cm2
Area of Half Circle = 200.96 cm2 / 2
A = 100.48
Composite Figure = Area of Triangle + Area of half Circle
Area of Composite Figure = 80 cm2 + 100.48 cm2
Area of Composite Figure = 180.48 cm2
Answer:
Step-by-step explanation:
The card you draw is just as likely to be the ace of spades as that can be selected from any other from 51 cards.So the chance of it being the ace of spades is 1/52
Answer:
<u>The equation will be f(x + 7) = 4(x+7) </u>
Step-by-step explanation:
At first we should know the rules of translation
1) {f(x) + a} is f(x) shifted up (a) units
2) {f(x) – a} is f(x) shifted down (a) units
3) {f(x + a)} is f(x) shifted left (a) units.
4) {f(x – a)} is f(x) shifted right (a) units.
So, for the given function: f(x) = 4x
When is shifted 7 units to the left, we should apply rule (3) where a = 7
f(x + 7) = 4(x+7) = 4x +28
Also, see the attached figure.
Answer:
4-9y^2
Step-by-step explanation:
(2+3y)(2-3y)
2*2
2*-3y
3y*2
3y*-3y
4-6y+6y-9y^2
4-9y^2
Answer:
The equation is: 9x-y = 56
Step-by-step explanation:
Given two point: (x,y) = (-6,2)
(x,y) = (4,-3)
Now, to find the slope of the line:
Slope = y1-y2/x1-x2 => 2-4/-6-(-3) = -1/9
Then, the equation of the line passing through a point:
=> y-y1 = m(x-x1)
=> y-2 = -1/9(x-6)
=> 1(y-2) = -9(x-6)
=> y-2 = -9x+54
=> 9x-y = 56