Answer: 1, -1
Step-by-step explanation: This is a difference of squares when factored,
(x+1)(x-1)
Let's check using FOIL(First, outside, inside, last)
x * x =x^2
1 *x =x
x * (-1) =-x
1* -1 =-1
so x^2 +x -x -1
=x^2 -1
Answer:
In order of the blanks from left to right, 30; 6; 2; 1/2; 20; 12; 12; 3/5
Step-by-step explanation:
So the rectangle has an area of 60 inches squared & the equation for the area of a rectangle is width * height. So, you can find the missing term if you just take 60 & divide it by the given number.
60/2 = 30
60/10 = 6
60/30 = 2
60/120 = 1/2
60/3 = 20
60/5 = 12
60/5 = 12
60/100 = 3/5
The approximate diameter of the circle is ![\mathbf{ 6\dfrac{2}{5} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%206%5Cdfrac%7B2%7D%7B5%7D%20%20%7D)
<h3>What is the circumference of the circle?</h3>
The circumference of the circle typically means finding the perimeter of the circle. It refers to the equal arc length of the circle as though the circle is expanded and flattened out towards a line segment.
It can be determined by using the formula:
C = πd
where;
- C = circumeference =
![\mathbf{20 \dfrac{4}{35}}](https://tex.z-dn.net/?f=%5Cmathbf%7B20%20%5Cdfrac%7B4%7D%7B35%7D%7D)
- d = diameter = ??
![\mathbf{20 \dfrac{4}{35} = \pi d}](https://tex.z-dn.net/?f=%5Cmathbf%7B20%20%5Cdfrac%7B4%7D%7B35%7D%20%3D%20%5Cpi%20d%7D)
![\mathbf{\dfrac{704}{35} = \pi d}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdfrac%7B704%7D%7B35%7D%20%3D%20%5Cpi%20d%7D)
![\mathbf{d = \dfrac{704}{35} \div \pi }](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Cdfrac%7B704%7D%7B35%7D%20%5Cdiv%20%5Cpi%20%7D)
![\mathbf{d = \dfrac{704}{35} \div \dfrac{22}{7} }](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Cdfrac%7B704%7D%7B35%7D%20%5Cdiv%20%5Cdfrac%7B22%7D%7B7%7D%20%7D)
![\mathbf{d = \dfrac{704}{35} \times \dfrac{7}{22} }](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Cdfrac%7B704%7D%7B35%7D%20%5Ctimes%20%5Cdfrac%7B7%7D%7B22%7D%20%7D)
![\mathbf{d = \dfrac{32}{5}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%20%5Cdfrac%7B32%7D%7B5%7D%7D)
![\mathbf{d = 6\dfrac{2}{5} \ \ \ as \ a \ mixed \ number }](https://tex.z-dn.net/?f=%5Cmathbf%7Bd%20%3D%206%5Cdfrac%7B2%7D%7B5%7D%20%5C%20%5C%20%20%5C%20%20as%20%5C%20a%20%5C%20mixed%20%5C%20number%20%7D)
Learn more about the circumference of a circle here:
brainly.com/question/164719
Answer:
-31
Step-by-step explanation:
since x+5 is a factor then
x=(-5)
f(-5)=-5×3-4×2+3×-5+7
=-15-8-15+7
=-30-1
=-31
Number of blue marbles = n
number of green marbles = 3n+4
n+3n+4=36
4n+4=36
4n=32
n=8
sub n=8 into 3n+4
=3(8)+4
=24+4
=28
therefore there are 28 green marbles