Answer:
see explanation
Step-by-step explanation:
Given
x² - 2x - 4 = 0 ( add 4 to both sides )
x² - 2x = 4
To solve use the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 1)x + 1 = 4 + 1
(x - 1)² = 5 ( take the square root of both sides )
x - 1 = ± ( add 1 to both sides )
x = 1 ± , thus
x = 1 + or x = 1 -
Answer:
7. 49
8. 10.4
Step-by-step explanation:
7) our hypotenuse is 8, and the side opposite the base of ladder and ground angle is 6, therefore we can use Sin
sin = opposite/hypotenuse
sin(x) = 6/8 = 3/4
sin-1(3/4) = 49
8) using the theorem that alternate exterior angles are congruent
the angle opposite side x is 30
tan = opposite/adjacent
tan(30) = x/18
x = 18tan(30) = 6√(3) = 10.4
you can also use 30-60-90 special right triangles.
the side opposite 30 is x
side opposite 60 is x√(3)
and side opposite 90 is 2x
Answer:
Two supplementary angles = 180°
Two complementary angles = 90°
Substitute the values of a and b to the expression:
<h2>
Hello!</h2>
The answer is:
The fourth graph.
<h2>
Why?</h2>
We are given the following equation:
Then, we need to find the graph of f(x+2) that will be equal to:
Now, finding the x-axis interception, making "y" equal to 0, we have:
Therefore, the x-axis interception point is located at (-2,0), it matches with the fourth graph.
Now, finding the y-axis interception, making "x" equal to 0, we have:
Therefore, the y-axis interception point is located at (0,2), it matches with the fourth graph.
Hence, we have that the graph of f(x+2) is the fourth graph since the second graph function cuts the x-axis at -2 and the y-axis at 2.
Have a nice day!