Answer:
Value of Y = 5√2 units
Step-by-step explanation:
Given:
Perpendicular = X
Base = Y
Hypotenuse = 10
Find:
Value of Y
Computation:
Cos θ = Base / Hypotenuse
Cos 45 = Y / 10
1/√2 = Y / 10
Value of Y = 5√2 units
25d^2-30d-35d+42=25d^2-65d+42.
If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)
x + 21 = 2x - 40 Add 40 to both sides
x + 61 = 2x Subtract x from both sides
61 = x Switch the sides to make it easier to read
x = 61
To express
5
−
2
as a positive exponent we will use this rule of exponents:
x
a
=
1
x
−
a
5
−
2
=
1
5
−
−
2
=
1
5
2
Answer:
f(2) = -40
Step-by-step explanation:
Just substitute x=2 into the function:
f(x) = 2x³ - 3x² - 18x - 8
f(2) = 2(2)³ - 3(2)² - 18(2) - 8
f(2) = 2(8) - 3(4) - 36 - 8
f(2) = 16 - 12 - 44
f(2) = 4 - 44
f(2) = -40