Answer:
q = -2
Step-by-step explanation:
-2x²-8x = 10 (divide both sides by -2)
x² + 4x = -5 (Apply completing the square method)
x² + 4x + (4/2)²= -5 + (4/2)²
x² + 4x + 2²= -5 + 2² (reduce left hand side using a²+2ab+b² = (a+b)² )
(x+2)² = -5 +4
(x+2)² = -1
(x+2)² + 1 = 0 (multiply both sides by -2)
(-2)(x+2)² + 1 (-2) = 0
-2[x - (-2)]² + (-2) = 0 ---> compare this with -2(x-p)² + q = 0
We can see that p = 2 and q = -2
Answer:
45 degrees
Step-by-step explanation:
The value of COD is the angle between C and D
The value of C is 30
The value of D is 115
The difference is 115 -30 = 85
1/10 of 1,700,000 of anything =
0.1 x 1,700,000 = <em>170,000</em> of them.
12x + 14 = 11x - 37
12x - 11x = -37 - 14
x = -51
you put all the x's on one side and everything else on the other side, and then solve the equation by simplifying
Answer:
75 m
Step-by-step explanation:
You first divide the shape into two parts; into a square and a rectangle. Then you multiply 5 x 5, (representing the square) becomes 25. Then you multiply 10 x 5, (representing the rectangle) becomes 50. Now you add 25 and 50 to get the answer 75.