Answer:
2
- 16
+ 18
Step-by-step explanation:
Given
(a²)(2a³)(a² - 8a + 9) ← multiply the first 2 factors
= 2 (a² - 8a + 9) ← distribute the parenthesis by 2
= 2 - 16 + 18
Answer:
4
Step-by-step explanation:
Recall a linear function, is a line on a graph made up of an infinite amount of points which satisfy the relationship. That means at x=3 there is a specific point on the line with an output. The value of a function at x=3 asks, what is the output y value for the input x value?
To find it, we locate 3 on the x-axis. We draw a vertical line directly to the line following the grid line. We mark the point on the line. We then draw a horizontal line directly to the y-axis following the grid line. The point we hit on the y-axis is the value of the function.
Here it is 4.
9514 1404 393
Answer:
- EF = DE = 44
- FG = DG = 36
- FH = DF = 31
Step-by-step explanation:
Since EH is the perpendicular bisector of DF, ∆DEF is isosceles and sides DE and EF have the same length.
DE = EF
(9x -1) = (7x +9)
2x = 10 . . . . . . . add 1-7x
x = 5 . . . . . . . . . divide by 2
__
Similarly, marked sides GD and GF are the same length, so ...
GD = GF
(10y -4) = (7y +8)
3y = 12 . . . . . . . . . . add 4-7y
y = 4 . . . . . . . . . divide by 3
__
Now, we have what we need to calculate the side lengths.
EF = 7x+9 = 7·5 +9 = 44
DE = 9x-1 = 9·4 -1 = 44
FG = 7y+8 = 7·4 +8 = 36
DG = 10y-4 = 10·4 -4 = 36
FH = 3x+4y = 3·5 +4·4 = 31
DF = FH = 31
On your calculator do 4/3 x pi (approx 3.14) x 4^3
so 4/3 x pi x 64
which is 85.33(2dp) x pi
i think you should get somewhere around 267.94 ish
Supplementary angles add up to 180 degrees.
2x - 8 + 8x - 12 = 180
10x - 20 = 180
10x = 200
x = 20
Angle 1 = 32
Angle 2 = 148
The measure of the largest angle is 148
Hope this helps =)
