#4)
cross multiply
2(8x+10) = 4 * 5x
16x + 20 = 20x
4x = 20
x = 5
We are given
Since, we have to solve for F
so, we will isolate F on anyone side
step-1:
Multiply both sides by 60
step-2:
Divide both sides by 11
step-3:
Add both sides by 32
so, we get
................Answer
Answer: The points of the images are (9,10), (15,6), (6,4) and the image is not a rigid motion because the shape changes in side.
Step-by-step explanation:
Since it gives you the scale factor then find they coordinates by multiplying the coordinates by the scare factor.
A(3,5) → (3*3,5*2) → (9,10)
B( 5,3) → (5*3, 3*2) → (15,6)
C ( 2,3)→ (2*3, 2*2)→ ( 6,4)
Question 2
------------------------------------------------------------------------------------------
Formula
------------------------------------------------------------------------------------------
Volume of the cylinder = πr²h
------------------------------------------------------------------------------------------
Find Radius
------------------------------------------------------------------------------------------
Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft
------------------------------------------------------------------------------------------
Find Volume
------------------------------------------------------------------------------------------
Volume = πr²h
Volume = 3.14 x 5² x 21
Volume = 1648.5 ft³
------------------------------------------------------------------------------------------
Answer: Volume = 1648.5 ft³
------------------------------------------------------------------------------------------
Question 3
------------------------------------------------------------------------------------------
Formula
-----------------------------------------------------------------------------------------
Volume of a sphere = 4/3πr³
------------------------------------------------------------------------------------------
Find Volume
------------------------------------------------------------------------------------------
Volume = 4/3 x 3.14 x 20³
Volume = 33493.3 ft³ (nearest tenth)
------------------------------------------------------------------------------------------
Answer: Volume = 33493.3 ft³
------------------------------------------------------------------------------------------
Draw a vertical line at the number 4 on your x axis positive side which is x=4
Then anything on the left of this line you just created at x=4 will be less than 4. But since your inequality is x less than/equal to 4 it includes 4 as well.