Answer:
B. y=5x
Step-by-step explanation:
the slope(m) is rise over run. here you rise 5 and go over 1. this written in a fraction is 5/1. 5/1 is the same as just 5. the slope in this y=mx+b equation is 5. the y-intercept(b) is (0,0) meaning you dont include it in the answer. Plug in what you have and it's y=mx+b --> y=5x+0, or just y=5x
Answer:
Area of shaded region = 28 in^2
Step-by-step explanation:
Area of rectangle = 8 x 5 = 40 in^2
Area of triangle = 1/2 x 8 x 3 = 12 in^2
Area of shaded region = 40 in^2 - 12 in^2 = 28 in^2
By solving a system of equations, we will see that matrix X is:
<h3>
How to find matrix X?</h3>
X will be a matrix, let's define:
Replacing that in the given equation we will get a system of equations:
9*x₁₁ + 4*x₂₁ = -9
2*x₁₁ + 1*x₂₁ = -1
9*x₂₁ + 4*x₂₂ = -6
2*x₂₁ + 1*x₂₂ = -8
We just need to solve that system of equations.
Using the second one we can write:
2*x₁₁ + 1*x₂₁ = -1
x₂₁ = -1 - 2x₁₁
Now we can replace that in the first equation:
9*x₁₁ + 4*x₂₁ = -9
9*x₁₁ + 4*(-1 - 2x₁₁ ) = -9
9*x₁₁ - 8*x₁₁ - 4 = -9
x₁₁ = -9 + 4 = -5
Then:
x₂₁ = -1 - 2x₁₁ = -1 - 2*(-5) = -1 + 10 = 9
So we just found the first two values of the matrix, now let's find the other two.
Using the other two eqations:
9*x₂₁ + 4*x₂₂ = -6
2*x₂₁ + 1*x₂₂ = -8
We rewrite the second as:
x₂₂ = -8 - 2x₂₁
And replace that in the other one:
9*x₂₁ + 4*(-8 - 2x₂₁) = -6
x₂₁ - 32 = -6
x₂₁ = -6 + 32 = 26
Then:
x₂₂ = -8 - 2x₂₁ = -8 - 2*26 = -60
Then our matrix is:
Learn more about systems of equations:
brainly.com/question/13729904
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the sum of all interior angles in a polygon is
180( n - 2)
n = number of sides
now, this polygon is a quadrilateral, so it has 4 sides, so it's total is just 180( 4 - 2) = 360.