Image 1: a) the combined area of mat and photo is:
b) factors are :
Image 2: Option A is correct
Image 3: Width = 4 feet and Length = 2 feet
Step-by-step explanation:
Image 1:
Part A:
The combined are of mat and photo is 224
The length is: 8+2w
The width is: 10+2w
So, Area = length * width
So, the combined area of mat and photo is:
Part B:
Now finding factors:
So, factors are :
Image 2:
We need to find factors of
Factorizing:
So, Option A is correct
Image 3:
Let width = w
then length = 3w-10
Area = 8
We need to find length and width
The formula used is:
Area = length * Width
9=(3w-10)*w
9=3w^2-10w
3w^2-10w-9=0
Using quadratic formula to find value of w:
Putting values:
Since width of rectangle is always positive, so: w = 4
Length= 3w-10 = 3(4)-10 =12-10 = 2
So, Width = 4 feet and Length = 2 feet
Keywords: Area of Rectangle, Quadratic Equations
Learn more about Quadratic Equations at:
#learnwithBrainly
Answer:
s=10
Step-by-step explanation:
Basically, the range rule-of-thumb is that the range is generally about four times the standard deviation.
<u>First, we find the range:</u>
Range=Maximum-Minimum
Range=100-60
Range=40
<u>Next, divide the range by 4 to get the standard deviation</u>
Range=4(Standard Deviation)
40=4(Standard Deviation)
10=Standard Deviation
Therefore, s=10, which is the standard deviation
Answer:
(2,0)
Step-by-step explanation:
2x-y=4 equation 1
3x+y=6 equation 2
5x=10 eliminate y by adding equations
x=2
solve for y
2x-y=4
2(2)-y=4
4-y=4
-y=0
y=0
check answer:
3x+y=6
3(2)+0=6
6=6
Answer:
You will do the Distributive Property first.
Step-by-step explanation:
You will do the Distributive Property first.
4(x - 3) = 9 <u>distribute the 4 into the x and -3.</u>
4x - 12 = 9 <u>add -12 to both sides.</u>
4x = 21 <u>divide 4 on both sides.</u>
x = 5.25 is your answer.
Answer:
79.1
Step-by-step explanation:
Given that :
Mean, μ = 62
Standard deviation, σ = 5.7
The value, x that is +3 standard deviations from the mean :
x = μ + 3(σ)
x = 62 + 3(5.7)
x = 62 + 17.1
x = 79.1