1.
the x value of the vertex in form
ax^2+bx+c=y
is
-b/2a
so
-2x^2+8x-18
x value of vertex is
-8/(2*-2)=-8/-4=2
plug it in to get y value
-2(2)^2+8(2)-18
-2(4)+16-18
-8-2
-10
vertex is at (2,-10)
or you could complete the square to get into y=a(x-h)^2+k, where the vertex is (h,k)
so as follows
y=(-2x^2+8x)-18
y=-2(x^2-4x)-18
y=-2(x^2-4x+4-4)-18
y=-2((x-2)^2-4)-18
y=-2(x-2)^2+8-18
y=-2(x-2)^2-10
vertex is (2,-10)
5.
vertex is the time where the speed is the highest
at about t=10, the speed is at its max
<span>2(4x - 12) + 3x = 6x + 1
Distribute.
8x - 24 + 3x = 6x + 1
Combine like terms.
11x - 24 = 6x + 1
5x = 25
x = 5
</span>
slated surface
17 × 20 = 340
2 triangle sides
2 × 8 × 15 ÷ 2 = 120
backside
8 × 20 = 160
bottom
15 × 20 = 300
sum all of it
340 + 120 + 160 + 300 = 920
can I get brainliest
Answer:
42 13/20 km
Step-by-step explanation:
10 3/10+9 7/20+14 7/10+ 8 9/20=41+ (6+7+14+9)/20=41 + 1 13/20= 42 13/20 km
Answer:
(0, 7)
Step-by-step explanation:
The point that crosses the y-axis is called the y-intercept of the line.
We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.
What are constants?
Constants are such terms that include only numbers. There should be no variables in constants.
<u>We know that:</u>
The constant we can see in the equation is "7". Therefore, the y-intercept is 7.
Note: The y-intercept of the line must have an x-coordinate of 0.
<u>Therefore,</u>
⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).
