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
From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.
<h3>Properties ofa rhombus</h3>
The given diagram is a rhombus that has the following properties
- Opposite side are equal
- All the sides are congruent
- The opposite angles are equal
- The sum of the adjacent angles are supplementary
From the figure shown, we can see that;
<msr is a right angle (equal to 90 degrees)
<mrh is acute since it is less than 90degrees.
Learn more on rhombus here: brainly.com/question/88523
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Answer:
30 and 47
their difference is 17 and when multiplied equal 1410
5/6 x 360 = 300
divide 360 by 6 = 60, then multiply 60 by 5 and you get 300.00