11/3*6/11=66/33=2
6 24/20-2 15/20=2 9/20
Given that g(x)=10x^2-100x+213 in vertex form is:
g(x)=10(x-5)2-37
The vertex form of an equation is given by the formula:
f(x)=a(x-h)^2+k
where the vertex is:
(h,k)
Therefore fro our expression the vertex of g(x) is (5,-37)
Answer:
area = 520 units²
Step-by-step explanation:
divide the hexagon into 6 equal triangles.
each triangle has a base of 14 and a height of 12.1 so:
the area of one triangles = 1/2BH = 1/2(14)(12.1) = 86.8 units ²
86.8 x 6 triangles = 520.8 units²
So if the line is linear we can use slope intercept form to find the equation of the points: y=mx+b
To calculate m, the slope we subtract two of the points (I’ll use the first two):
(-1, 1)
(4, 0)
This equals 0-1/4+1, which simplifies to -1/5
So the slope is -1/5 and we can put that into slope intercept form along with a point to get b, the y-intercept.
So, y=-1/5x+b
Now we substitute x and y with a point.
1=-1/5(-1)+b
1=1/5+b
b=4/5
So the equation is:
y=-1/5x+4/5
I hope this helps!
Answer:surface area = 2x^2 + 18x - 34
Step-by-step explanation:
The formula for determining the surface area of a rectangular prism is expressed as
Surface area = 2lh + 2wh + 2wl
Where
l represents the length of the rectangular prism.
h represents the height of the rectangular prism.
w represents the width of the rectangular prism
From the information given,
l = x+3
h = 5
w = x - 4
Surface area = 2 × 5 × (x+3) + 2 × (x - 4) × 5 + 2 × (x - 4) × (x + 3)
= 2(5x + 15) + 10(x - 4) + 2[x^2 + 3x - 4x - 12]
= 10x + 30 + 10x - 40 + 2x^2 - 2x - 24
= 2x^2 + 18x - 34