Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Answer:
75°
Step-by-step explanation:
In triangle FBG, one angle is 36. That means the other two must total 180-36=144. Assigning each one 72, their supplementary angle on the interior of the pentagon would be 108.
In triangle JDI, one angle is 39. That means the other two must total 180-39=141. Assigning each one 70.5, their supplementary angle on the interior of the pentagon would be 109.5
We now have 4 of the interior angles. Pentagons have an interior total of 540. 540-108-108-109.5-109.5=105
x is the supplement of 105. 180-105=75
Answer:
Step-by-step explanation:
reverse x in a square
Answer:
P = (2,-4)
Q = (3,9)
R = (-4,2)
Step-by-step explanation:
rotation by 180 degrees means that the points are inverted. the answers would be the opposite of the given
(x, y ) = (- 6, 3 )
Since both equations express y in terms of x, we can equate them
2x + 15 = - 
x + 1
( add x to both sides )
x + 15 = 1 ( subtract 15 from both sides )
x = - 14
( multiply both sides by 3 and divide by 7 )
x = ( 3 × - 14 )/7 = - 6
substitute x = - 6 into either of the 2 equations for y- coordinate )
y = ( 2 × - 6 ) + 15 = 3
solution : (x, y ) = ( - 6, 3 )
