Answer:
x =pi/2,3pi/2
Step-by-step explanation:
sin²(x) - cos²(x) - sin²(x) = 0
Simplify
sin²(x) - sin²(x) = 0
Leaving us with
- cos²(x) = 0
Divide each side by -1
- cos²(x/-1 = 0/-1
cos²(x) = 0
Take the square root of each side
sqrt( cos²(x)) = sqrt(0)
cos(x) = 0
Taking the inverse cos of each side
cos^-1(cos(x)) = cos^-1(0)
x = pi/2 x = 3pi/2
Answer:
LN = 17
Step-by-step explanation:
an estimate of what the line looks like:
L ———————M—————————— N
LN = LM + MN
= 7 + 10
= 17
Answer:
B. The maximum occurs at the function's x-intercept.
Step-by-step explanation:
Given table:
From inspection of the table, we can see that:
- and
This indicates <u>symmetry</u>.
The line of symmetry is the mid-point between the two x-values.
Therefore, the <u>line of symmetry</u> is x = -4
The vertex (minima/maxima) is on the line of symmetry, therefore the vertex is at (-4, 0). As the function decreases as x → 0, the vertex is a <u>maximum</u>.
As the y-value of the vertex is 0, the maximum occurs at the function's <u>x-intercept</u>.
Answer:
see explanation
Step-by-step explanation:
Compare the coordinates of corresponding vertices.
C(7, - 2 ) → C'(- 3, 7 )
x- direction 7 → - 3 , that is - 10 of a shift
y- direction - 2 → 7, that is + 9 of a shift
Thus the translation rule is
(x, y ) → (x - 10, y + 9 )