Answer:
x=60, y=30
Step-by-step explanation:
4x-7y=30
4x-5y=90
Subtract the equations
4x-7y=30-4x-5y=90
=2y=60
Solve 2y=60
Divide both sides by 2
2y/2=60/2
Simplify;
y=30
For 4x-7*30=30 for x
4x-7y*30=30
Multiply the numbers:7*30=210
4x-210=30
Add 210 to both sides
4x-210+210=30+210
Simplify;
4x=240
Divide both sides by 4
4x/4=240/4
Simplify
x=60
The solutions to the system of equations are:
x=60, y=30
Hope this helped!!!
So we know that the length of the rectangle is 9 meters.
In order to find area of a rectangle, you multiply the length by the width.
To find the width, you divide the area by the side you do have , which is 9 meters.
72 divided by 9 is 8.
So the width 8 meters, and now to find the perimeter you must add all sides of the rectangle.
9+9+8+8 = 34.
The perimeter of the rectangular garden is 34 meters.
Answer:
i think it will be 20 unit diatance .
Answer:
AA similarity
Step-by-step explanation:
Using angle sum theorem, you can clearly find out the missing angles on the left and right triangles are 40° and 50° respectively.
Therefore, by using any two angles in the triangles, you can prove they are similar by AA similarity.
Answer: a²+b² = -99/2
Step-by-step explanation:
Since we are given two equations, this equations will be solved simultaneously to get a² and b²
a³ - 3ab² = 47 ... 1
b³ - 3a² b = 52... 2
From 1, a(a² - 3b²) = 47...3
From 2, b(b² - 3a²) = 52... 4
Adding 3 and 4, we have;
a²+b²-3b²-3a² = 99 (note that a and b will no longer be part of the equations as they have been factored out)
a²+b²-(3b²+3a²) = 99
(a²+b²) -3(b²+a²)= 99
Taking the difference we have
- 2(a²+b²) = 99
a²+b² = -99/2
