Answer:
(6, -11)
Step-by-step explanation:
The translation (x-2,y+3) means "subtract 2 from x coordinate" and "add 3 to the y coordinate".
After the transformation, we have the point B'(4,-8). Which point, let it be (x,y), after being transformed is B'(4,-8)??
According to the transformation rule, we have to "subtract 2 from x coordinate" and "add 3 to the y coordinate", thus
x-2=4
x=4+2
x=6
and
y+3=-8
y=-8-3
y=-11
THe coordinate of B are (6,-11)
The mean absolute deviation of the number of books is 1.84
<h3>How to determine the mean absolute deviation?</h3>
The dot plot of the number of books is in the attached figure.
From the figure, we have:
x f
1 1
2 2
3 2
4 3
5 1
6 2
7 3
8 1
Start by calculating the mean using:
So, we have:
Evaluate the sum and products
Divide
The mean absolute deviation is then calculated as:
So, we have:
Evaluate the absolute difference
Evaluate the sum of products
Divide
Hence, the mean absolute deviation of the number of books is 1.84
Read more about mean absolute deviation at:
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<span>f(x) =-(x+9)(x-21)
Manipulating algebrically,
We get,
</span>f(x) =-(x+9)(x-21)
= -(x^2 -21x + 9x - 189)
= -(x^2 -12x - 189)
= -x^2 + 12x + 189
Axis of symmetry = -b/2a
plugging the values,
x = -12/-2
= 6
Answer:
Distributive property
Step-by-step explanation:
Factoring an expression is the opposite of expansion
it. Distributive property can be used for factor and
expand linear equation.
Answer:
x=13
Step-by-step explanation:
The two angles are vertical angles and vertical angles are equal
5x = 6x-13
Subtract 6x from each side
5x-6x = 6x-13-6x
-x = -13
Multiply each side by -1
x=13
