What 2 numbesr multiply go get -6 and add to get 1
-2 and 3
(x-2)(x+3)=0
set each to zero
x-2=0
x=2
x+3=0
x=-3
{2,-3}
Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)
Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
That figure is made up of 3 shapes.
A square, a rectangle, a semicircle.
The square has a side of 6 ft.
The semicircle has a radius of 4 ft.
The rectangle's width is the diameter of the semicircle, so it is 8 ft. The length of the rectangle is 18 ft.
Square:
A = s^2 = (6 ft)^2 = 36 ft^2
Rectangle:
A = LW = 18 ft * 8 ft = 144 ft^2
Semicircle:
A = (1/2) * pi * r^2 = (1/2) * pi * (4 ft)^2 = (1/2) * pi * 16 ft^2 = 8pi ft^2
Total area:
A = 36 ft^2 + 144 ft^2 + 8pi ft^2
A = (180 + 8pi) ft^2