Answer:
106°
Step-by-step explanation:
Supplementary angles add up to 180°
180°- 74°
= 106°
Y = 3 because in a rectangle, the diagonals are ALWAYS congruent. so you would have:
5y - 2 = 4y + 1
-4y+2 -4y + 2
y = 3
Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
(x - 10)² is the graph x² by translation of 10 units moved to the right.
Answer:
The midpoint is (-2,7)
Step-by-step explanation:
To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2
(-9+5)/2 = -4/2 =-2
To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2
(3+11)/2 = 14/2 = 7
The midpoint is (-2,7)
