Midpoint has a formula x plus x2 divided by 2 and vice versa for y
So to solve you need to fill in numbers
You can replace x with negative 2 since you know that the coordinates for point A are -2,4
Solve to get 10
And vice versa for the y coordinate you solve the filled in equation to get 0
Your end result is 10,0
Answer:
171
Step-by-step explanation:
This is a Right triangle,
So this means that all the sides should add up to 180,
So far we have 9
So we will have to Subtract 9 from 180 which leaves us with 171,
I hope this is correct!!
Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
Answer:
-(23/6)π
-(19/6)π
-3π
Step-by-step explanation:
cos2t=cos^2t-sin^2t => cos^2t=1-sin^2t =>cos2t=1-2sin^2t
sint=1-2sin^2t, if x=sint, thenn we have 2x^2+x-1=0
Here x=0.5, x=-1, as x=sint => sint = -1 solutions for -4π to -2π is t=-3π,
sint = 0.5 solutions for -4π to -2π is t= -(23/6)*π, and t = -(19/6)*π
