Answer:
k= -0.2
Step-by-step explanation:
3+2(5k-3)=7 (original)
3+10k-6=7 (distribute 2 in (5k-3))
9+10k=7 (combine like terms 3+-6)
10k=-2 (subtract 9 on both sides to isolate k)
k=-0.2 (divide 10 on both sides to get you're answer/isolate k)
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
1 and 4/5
Step-by-step explanation:
4/5 is greater then 3/5 and 5/5=1 whole which is greater than 3/5, 4/5 and 1 is greater than 3/5 and 1 1/5, 1 2/5 so on and so on it could go forever but 4/5, and 1 is the only ones that our after 3/5 so those are the two greatest ones in this quistion. Hope this helps
Answer:
The angles are adjacent. x = 100°
Step-by-step explanation:
x + 80 = 180
x = 100
Answer:x=5
Step-by-step explanation:
4x - 10 = 0.5x + 7.5
-0.5x -0.5x
3.5x - 10 = 7.5
+10 +10
3.5x = 17.5
divide both sides by 3.5 and you get x=5