Substitute y in 8x - 3y = -22.
8x - 3(5x + 19) = -22
Simplify.
8x - 15x - 57 = -22
Simplify.
-7x - 57 = -22
Add 57 to both sides.
-7x = 35
Divide both sides by -7.
x = -5
Substitute x in y = 5x + 19.
y = 5(-5) + 19
y = -25 + 19
y = -6
The solution is (-5, -6).
Answer:
D. 58
Step-by-step explanation:
The multiplication and division are performed first.
... 32 +6·5 -7 +12/4
... = 32 +30 -7 +3
Then, the Order of Operations tells you to do the addition/subtraction left to right. Of course, if you keep the sign with the number, you can do the addition in any convenient order.
... = 62 -7 +3
... = 55 +3
... = 58
<span>(square root) -28
=</span><span>(square root) 4*-7
=2</span><span>(square root)-7
hope this helps</span>
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
Answer:1/16 for each of us
Step-by-step explanation:
Since only 1/4 is left and you and the teachers are splitting it up,you’d get 1/16 each because the half of 1/4 (1/8) was split into 2 (1/16)
