ALL LINES CAN BE REPRESENTED IN THE FORM
.
We know that:
![f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5](https://tex.z-dn.net/?f=f%281%29%20%3D%20-5%20%5Cimplies%20a%5Ccdot%281%29%2Bb%20%3D%20-5%20%5Cimplies%20a%2Bb%20%3D%20-5)
and
![f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17](https://tex.z-dn.net/?f=f%283%29%20%3D%20-17%20%5Cimplies%20a%5Ccdot%283%29%20%2Bb%20%3D%20-17%20%5Cimplies%203a%2Bb%20%3D%2017)
Observe that:
![3a+b = 2a+a+b = 2a+(a+b)](https://tex.z-dn.net/?f=3a%2Bb%20%3D%202a%2Ba%2Bb%20%3D%202a%2B%28a%2Bb%29)
So:
![2a+(a+b) =-17](https://tex.z-dn.net/?f=2a%2B%28a%2Bb%29%20%3D-17)
But we know that
, so:
![2a+(a+b) =-17](https://tex.z-dn.net/?f=2a%2B%28a%2Bb%29%20%3D-17)
![2a+(-5) = -17](https://tex.z-dn.net/?f=2a%2B%28-5%29%20%3D%20-17)
![2a = -12](https://tex.z-dn.net/?f=2a%20%3D%20-12)
![a = -6](https://tex.z-dn.net/?f=a%20%3D%20-6)
Since:
![a+b = -5](https://tex.z-dn.net/?f=a%2Bb%20%3D%20-5)
![(-6)+b = -5](https://tex.z-dn.net/?f=%28-6%29%2Bb%20%3D%20-5)
![b = 1](https://tex.z-dn.net/?f=b%20%3D%201)
So the line is:
![f(x) = 1-6x](https://tex.z-dn.net/?f=f%28x%29%20%3D%201-6x)
Based on the calculations, the coordinates of the mid-point of BC are (1, 4).
<h3>How to determine coordinates of the mid-point of BC?</h3>
First of all, we would determine the initial y-coordinate by substituting the value of x into the equation of line that is given:
At the origin x₁ = 0, we have:
y = 2x + 1
y₁ = 2(0) + 1
y₁ = 2 + 1
y₁ = 3.
When x₂ = 2, we have:
y = 2x + 1
y₂ = 2(2) + 1
y₂ = 4 + 1
y₂ = 5.
In order to determine the midpoint of a line segment with two (2) coordinates or endpoints, we would add each point together and divide by two (2).
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (0 + 2)/2
Midpoint = 2/2
Midpoint = 1.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (3 + 5)/2
Midpoint = 8/2
Midpoint = 4.
Therefore, the coordinates of the mid-point of BC are (1, 4).
Read more on midpoint here: brainly.com/question/4078053
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The value of y would be 60
The way you would solve this is by plugging in 7 for x.
After you plug in the 7 for x you would have to multiply 7 by 4 to get 28.
Next you would add 28 to 32 to get 60.
Your final answer should be y=60
Answer:
I believe the answer is (A)
*Substituting the x and y values from the table into the equation(A) will balance the right side of the equation to the left side of the equation.
Answer: 143.81
Explanation:
Calculate the discounted price:
165.89 x 10.9/100 = 18.08$
Subtract the discounted price from the original price:
165.89 - 18.08 = 143.81$
143.81 is the price of their best oar’s sale on Leif Erickson day.