Answer:
X = 8√2.
Step-by-step explanation:
In a 45-45-90 triangle the ratio of the sides are x:x:√2 x.
So here, x = 8 and the side X = 8√2.
Answer:
Step-by-step explanation:
The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) is the vertex.
Given vertex at (2,-3), h = 2, k = -3
y = a(x - 2)^2 + (-3) = a(x - 2)^2 - 3
The parabola passes through (0,5) so
5 = a(0 - 2)^2 - 3
5 = 4a - 3
4a = 8
a = 2
The parabola equation in vertex form:
y = 2(x - 2)^2 - 3
Answer:
The maximum value is 3.
Step-by-step explanation:
The given trigonometric function is

The amplitude of this function is 5.


The function is shifted vertically down by two units.
To find the maximum value, we add -2 to the upper boundary of A.
The maximum values is 5-2=3
Answer:
Option C is correct.
C. 4/3
Step-by-step explanation:
Given:
The given linear function of a line.
F(x)=4/3x+2
We need to determine the slope of a line parallel to F(x)=4/3x+2
Solution:
First we compare the given function of the line with standard form of a line.
Where m = slope of the line.
And c = y-intercept
So, the slope of the line
and y-intercept 
We know that the slope of the parallel lines are same.
Therefore, the slope of a the parallel line
.