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
Answer:
Make a coordinate plane and you have to solve around the orgin say 4,4 and 4,1
Step-by-step explanation:
It is A) skewed left because the long tail in the box plot is on the left hand side. The mean is also on the left hand side of the peak so it is skewed left.
Hope this helps :)
Answer:
25 y 3−15 y 2−10 y ... 25y3 - 15y2 - 10y = 5y • (5y2 - 3y - 2) ... 5y • (y-1) Add up the last 2 terms, pulling out common factors : 2 • (y-1
Answer:
8x² + 6x - 35
Step-by-step explanation:
A = (2x + 5)(4x - 7)
Front: 2x * 4x = <em>8x²</em>
Outside: 2x * (-7) = <em>-14x</em>
Inside: 5 * 4x = <em>20x</em>
Last: 5 * -7 = <em>-35</em>
Add up: <em>8x² - 14x + 20x -35</em>
Simplify: 8x² + 6x - 35
