Answer:
15cm
Step-by-step explanation:
First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x 
. So, the side length is 15.
Answer:
c) G(x) = (x + 1)**2
Step-by-step explanation:
A function left shift is x + shift and a right shift is x - shift.
Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!
Answer:
x=5 x=3
Step-by-step explanation:
x^2 - 8x + 15 = 0
Factor
What 2 numbers multiply to 15 and add to -8
-5*-3 = 15
-5-3 = -8
(x-5)(x-3) =0
Using the zero product property
x-5 =0 x-3 =0
x=5 x=3
Answer:
The sum is rational.
Step-by-step explanation:
-3/8 is a rational number (the ratio of 2 integers)
3/5 is a rational number (the ratio of 2 integers)
When you add 2 rational numbers, you get a rational number.
