Answer:
-5
Step-by-step explanation:
x² - 4x - 45 = 0
(x - 9)(x + 5) = 0
x = 9 or -5
x² - 25 = 0
(x + 5)(x - 5) = 0
x = 5 or -5
-5 is a common factor between both of them
Answer:
-2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3+c)+c=c+4
(4)(3)+(4)(c)+c=c+4(Distribute)
12+4c+c=c+4
(4c+c)+(12)=c+4(Combine Like Terms)
5c+12=c+4
5c+12=c+4
Step 2: Subtract c from both sides.
5c+12−c=c+4−c
4c+12=4
Step 3: Subtract 12 from both sides.
4c+12−12=4−12
4c=−8
Step 4: Divide both sides by 4.
4c
4
=
−8
4
c=−2
The area of a hexagon with a radius of 5 inches is 86.603.
Answer:
(x - 3)² + (y + 9)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given area = 25π , that is
πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r =
= 5
With centre (h, k) = (3, - 9 ) and r = 5 , then
(x - 3)² + (y - (- 9) )² = 5² , that is
(x - 3)² + (y + 9)² = 25
Answer:
1.2 meters.
Step-by-step explanation:
Length of pen = 2x meters
width of pen = x meters
shape of pen is rectangular
we know that area of rectangle is given by length * width
Thus, area of the pen is x*2x = 
It is also given that area of pen is 2.8 square meters.
Equating numerical value of area with area in terms of x, we have

Thus value of x is 1.2 meters.