Answer:

Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as

where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k

so, we get

now, we can plug it back

now, we can plug x=5
and we get


A = 73.84
Explanation-
14.2 - 6.4 = 7.8 (to get the length of the base without the top part)
7.8 • 5.2 = 40.56 (to find the area outside of our subtracted square that has the top part)
6.4 • 5.2 = 33.28 (to find the area of the inner square)
40.56 + 33.28 = 73.84 (adding together both parts to find the total area)
A = 73.84
Answer:
see below
Step-by-step explanation:
A. Reflection across the y-axis replaces each x coordinate with its opposite.
B. Rotation 90° CW does the transformation (x, y) ⇒ (y, -x)
C. This is a translation left 2 units.
D. Rotation 90° CCW does the transformation (x, y) ⇒ (-y, x)
E. This is a translation left 7 and down 2.
__
In the attached graphs, we have identified a point that is a corresponding point on each figure. This is so you can see how the various transformations move it and the rest of the figure in relation to it. 90° arcs are shown so you can see the rotations more easily.
The figures are labeled and color coded in accordance with the problem statement.
X² + 10x +2 = 0 .Complete the square of (x² + 10x + ??)
We know that (10x) is equal to twice the square root of the 1st (x) by ??
10x = 2.x.(??) and ?? = 5 and its square is 25. Then I have to add 25 and subtract 25 so that not to change the equation:
(x² + 10x + 25) -25 +2 =0
(x+5)² -23