Answer:
(x-7) (x^2-5)
Step-by-step explanation:
x^3 -7x^2 -5x+35
Make 2 groups
x^3 -7x^2 -5x+35
Factor x^2 from the first group and -5 from the second group
x^2 (x-7) -5(x-7)
Now factor (x-7) out
(x-7) (x^2-5)
We are given that a house had a value of $245000 and its value was increased by 9%. To determine how much is this value increase in dollars we need to multiply the value of the house by 9/100. We get this:
Therefore, the increase in dollars is $22050. Now, to determine the current value we need to add the increase to the previous value, we get:
Therefore, the current value of the house is $267050.
Answer: (5,10)
Step-by-step explanation:
multiply first equation with 2 and add it to second to eliminate X
7x-5y=-15 //*2
14x-10y=-30
-14x+7y=0
----------------
-3y=-30
y=-30/-3
y=10
7x=50-15
7x=35
x=35/7
x=5
Answer:
79
Step-by-step explanation:
The area of a circle is pi*radius^2; the radius of this circle is 10 (20/2=10). Our area is then 100pi or ~314 square feet. A 2x2 square takes up 4 feet. 314/4 is equal to 78.5, or when rounded, 79
Answer:
Given: circle
diameter = 10 cm => radius (R) = 5 cm
Find: measure of angle bounding sector = 11 π sq. cm.
Plan: determine what part of the circle’s total area equals the sector’s area.
Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.
Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25
Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.
C = 2 π R = 2 π (5) = 10 π cm
Sector Arc = measure of sector angle = 11/25 (10 π) =
22π/5 radians
Answer: Sector Arc = 22π/5 Radians
