That is about coordinates and the dot product
we have a has coordinates (4;8)
and b has coordinates (-2;3)
So we have a.b= 4x(-2)+ 8x3= -8+24=16
The answer is 16
Both equations are lines with a slope of 2. They will be parallel. They differ only in their y-intercept.
It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.
y = 2x + 3Plot the point
(0, 3) and the point
(2, 7). Draw a line through those points.
y = 2x - 2Plot the point
(0, -2) and the point
(2, 2). Draw a line through those points.
<span>F(x) = x + 3
y = x + 3
y - 3 = x
so
</span><span>F ^-1(x) = x - 3
</span><span>The zero of F ^-1(x) is -3
answer is
</span><span>-3</span>
Answer:
The length of the two pieces are 41 in and 24 in
Step-by-step explanation:
Let
x -----> the length of one piece
y ----> the length of the other piece
we know that
-----> equation A
-----> equation B
Solve the system of equations by substitution
Substitute equation B in equation A and solve for y

Find the value of x

therefore
The length of the two pieces are 41 in and 24 in
Answer:
The mean absolute value is 7.7, when rounded to the nearest tenth.
Step-by-step explanation:
1.) To get the mean absolute deviation you have to find the mean first:
- 32 + 35 + 20 + 16 + 28 + 13 = 144 ÷ 6 = 24
2.) Then, you have to find the difference of each element in your data set that is away from the mean. Then, you have to find the absolute values of the answers:
- 32 - 24 = | 8 | → 8
- 35 - 24 = | 11 | → 11
- 20 - 24 = | -4 | → 4
- 16 - 24 = | -8 | → 8
- 28 - 24 = | 4 | → 4
- 13 - 24 = | -11 | → 11
3.) Then, you have to find the mean of the absolute values:
- 8 + 11 + 4 + 8 + 4 + 11 = 46 ÷ 6 = 7.6666666666666666666666666666667 = 7.7