It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Answer:
Step-by-step explanation:
let x < 30 be the width of strip of lawn.
then (80-2x)(60-2x)=800
4800-160x-120x+4x²=800
4x²-280x+4000=0
x²-70 x+1000=0
x²-20x-50x+1000=0
x(x-20)-50(x-20)=0
(x-20)(x-50)=0
x=20,50
x=50(rejected)
x=20 m
Answer:
We observe that the function f (x) has the following intersection with the y axis:
f (0) = -5
The intersection with the y-axis of the function g (x) is -1. Therefore, we have:
g (0) = f (0) + 4
g (0) = -5 + 4
g (0) = -1
Answer:
The graph of g (x) is:
A. g (x) = f (x) + 4
With that table of values, you can come up with a slope intersect form of a line
7 = -8m + b
1 = -5m + b
-5 = -2m + b
7-1 = -3m
6 = -3m
m = -2
1 = -5 * -2 + b
b = 1 - 10
b = -9
so it is y = -2x - 9
Now we can find where those intersect
-2x - 9 =2 (x+4)^2 - 5
-2x - 9 = 2(x^2 + 8x + 16) - 5
-2x - 9 = 2x^2 +16x + 32 -5
2x^2 + 18x +36 = 0
x^2 + 9x + 18 = 0
D = 81 - 72 = 9 = 3^2
x1 = (-9 - 3) / 2 = -6; y1 = 3
x2 = (-9 + 3) / 2 = -3; y2 = -3
so the solutions are (-6; 3) and (-3; -3)
Answer:
(sinx+cosx)²=sin2x+1
RHS
sin2x+1. (sin2x=2sinx*cosx)
2sinx*cosx+1. (sin²x+cos²x=1)
2sinx*cosx+sin²x+cos²x.
(sinx+cosx)²