Answer:
8,613
Step-by-step explanation:
There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
that differences are that mass is a measurement of the amount of matter something contains and mass is measured by using a balance comparing a known amount of matter to an unknow of matter
Answer:
1.2 inches
Step-by-step explanation:
Area of sphere
A = 4πr²
17.6 = 4(3.14)r²
17.6 = 12.56r²
Divide both sides by 12.56
1.4012738854 = r²
Take the sqaure root of both sides
1.1837541491 = r
Rounded
r = 1.2
Subtract 2.2 from 7 and that will be equal to w
