Answer:
The point R located at 8.
Step-by-step explanation:
The directed line segment from Q to S has endpoints Q at –8 and S at 12.
Point R partitions the directed line segment from Q to S in a 4:1 ratio.
The given formula is
Substitute
in the above formula.
Therefore, the point R located at 8.
Answer:
Its c
Step-by-step explanation:
Answer: 36 cm
Step-by-step explanation:
Given : The square has a perimeter =160 cm.
Perimeter of square = 4 (side)
Therefore , the side of square = (Perimeter)÷ 4
= 160 ÷ 4 = 40 cm
The new length of side after dilation = (Scale factor) x (Length of original figure)
For scale factor = 0.9
The new length of each side of the dilated square = (0.9)x(40)=36 cm
Hence, the new length of each side of the dilated square= 36 cm
Answer:
110 1/4
Step-by-step explanation:
5 1/4=21/4
21/4x21/4= 441/4= 110 1/4
im pretty sure thats correct
if not
im so sorry
Answer:

Step-by-step explanation:
f(x) = 9x³ + 2x² - 5x + 4; g(x)=5x³ -7x + 4
Step 1. Calculate the difference between the functions
(a) Write the two functions, one above the other, in decreasing order of exponents.
ƒ(x) = 9x³ + 2x² - 5x + 4
g(x) = 5x³ - 7x + 4
(b) Create a subtraction problem using the two functions
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x)=
(c). Subtract terms with the same exponent of x
ƒ(x) = 9x³ + 2x² - 5x + 4
-g(x) = <u>-(5x³ - 7x + 4)
</u>
ƒ(x) -g(x) = 4x³ + 2x² + 2x
Step 2. Factor the expression
y = 4x³ + 2x² + 2x
Factor 2x from each term
y = 2x(2x² + x + 1)
