Answer:
Step-by-step explanation:
h(t) = t2 - 8t + 12
Putting value of t = 0
h(0) = (0)2 - 8(0) + 12
= 0 - 0 + 12
= 12
Answer: x = 45
Step-by-step explanation:
Quadrilaterals inscribed in a circle have all four vertices on the circle.
A unique property of these types of quadrilaterals is their angle measures: Opposite angles of inscribed quadrilaterals will always add up to 180 (they are supplementary angles).
As such, the inscribed quadrilateral ABCD has opposite angles at AC and BD. Because the quadrilateral is inscribed, this means that the angles A + C and the angles B + D will equal 180 degrees. We can represent the angles measures for B and D in an equation where B + D = 180:

When x = 45, the angle B is 40 degrees and the angle D is 140 degrees.
It will take the hamster 28 days to eat 8 whole bags of carrots.
If you divide 8 by 2/7 you will get the answer of 28.
Answer:
Step-by-step explanation:
Coordinate points: (18, -7) and (18,2)
m= rise / run or 
m = slope
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
So your rise is...
2 - (-7)
and you run is...
18 -18
Rise = 9
Run = 0
Now, do you see the issue...
You can not have a number over 0 (* a great way to remember is N/0 spells no: "N" being number and "0" being zero)
The slope or the equation 9 / 0 (9 divided by 0 or 9 over 0) is ERROR in the calculator which means the slope of these points are undefined
The line is vertical when this happens
*Side Note: if you were to have 0 as you rise and 9 as your run, 0/9 is ok because that means you have a zero slope meaning that you have a horizontal line
0 divide by 9 is zero
Answer:
Step-by-step explanation:
(3,−1) (4,7)
Slope = y₂-y₁/x₂-x₁
= 7- [-1]/4-3
=7+1/1 = 8/1
= 8
m = 8 ; (4,7)
y-y₁= m(x-x₁)
y - 7 = 8 * (x - 4)
y -7 = 8x - 32
y = 8x - 32 + 7
y = 8x - 25