if we're factoring you can use the AC method. A multiplied by C is 24. and 4x6 is 24.
(x+4)(x+6) is your answer
Answer:
(-6, 6)
Step-by-step explanation:
The coordinates of B to start with is
(-2, 2)
To dilate this by a factor of 3....
-2 * 3 = -6
2 * 3 = 6
The new coordinates of B' would be
(-6, 6)
A few things to know:
- The number 3 is called a "<u>scale factor</u>"
- Dilation means we are multiplying all the (X, Y)'s by the scale factor
- If the scale factor is <u>greater than 1</u>, the size of the shape overall increases
- If the scale factor is <u>less than 1</u>, the size of the shape overall decreases
- If the scale factor is <u>negative</u>, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.
Answer:
Option B is correct

Step-by-step explanation:
Given that:
and
are supplementary.
prove that: 
It is given that:
and
are supplementary.
By definition of supplementary
⇒
.....[1]
From the figure, you can see that:
and
are also supplementary.
⇒
.....[2]
By [1] and [2] we have;
⇒
Simplify:

Since ∠2 and ∠3 are corresponding angles.
Corresponding angles states when the two lines are parallel, then Corresponding Angles are equal and vice versa.
by definition we have;
proved!
DF is half of AC, so DF=25
Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder

substitute our data

The volume of the ball

substitute our data

The space will have a volume of
=628.4-523.7
=104.7 in^3