Answer:
Step-by-step explanation:
Begin the solution by squaring both sides of the given equation. We get:
(3x - 4)^2 = 2x^2 - 2x + 2, or:
9x^2 - 24x + 16 = 2x ^2 - 2x + 2
Combining like terms results in:
7x^2 - 22x + 14 = 0
and the coefficients are a = 7, b = -22, c = 14, so that the discriminant of the quadratic formula, b^2 - 4ac becomes (-22)^2 - 4(7)(14) = 92
According to the quadratic formula, the solutions are
-b ± √discriminant -(-22) ± √92 22 ± √92
x = ------------------------------- = ----------------------- = ------------------------
2a 14 14
Answer:
the answer is A. 47
Step-by-step explanation:
tanθ = 15/14
the answer for 15/14 comes out to be about 1.0714 and so you put that value into your calculator using the sin^-1 button. it should look something like this sin^-1(1.0714) and press enter and you'll get 46.974 and round will result in 47
6 ,12 ,18, 24, 30 ,36 ,42, 48,
She will keep adding by 6
The slope of a function at a point is the value of its derivative there.
... f'(x) = 5·(2x) + 0 = 10x . . . . . . using the power rule: (d/dx)(xⁿ) = n·xⁿ⁻¹
Then
... f'(4) = 10·4 = 40 . . . . . the slope at x=4
Answer:
The angles are 24° and 66°.
Step-by-step explanation:
Let two angles be x and y.
For two complementary angles,
x+y = 90 ...(1)
ATQ,
x-y = 42 ...(2)
We need to find the measures of the angles.
Add equation (1) and (2).
x+y+x-y = 90+42
2x = 132
x = 66
Put the value of x in equation (1)
66+y = 90
y = 90-66
y = 24
So, the angles are 24° and 66°.