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:
15.0
Step-by-step explanation:
we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan
tan25=7/x
since x is at the bottom then switch
x= 7/tan25
x= 15. 012
To create a line that is perpendicular to the one given, completely invert the slope.
y = -3/2x + 9
Answer:
4/9 of sales are veggie 5/9 are turkey
4/(4+5)=4/9
5/(4+5)= 5/9
4/9 x 27 = 12
5/9 x 27 = 15
12 veggie subs sold and
15 turkey subs sold
12+15=27 total sold
Step-by-step explanation:
4x+1=1
-1=-1
4x=0
4x/4=4/0
x=4
please can i have a brainliest