If he has completed 3/5, he still needs to complete (1-3/5) or 2/5ths
400 * 2/5 = 160
He needs 160 points
The equation of the line is y = 0.75x - 2
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
<h3>How to determine the equation of the line?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, the linear equation has the following points
(8, 4) and (-8, -8)
Calculate the slope of the line using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (-8 - 4)/(-8 - 8)
Evaluate
m = 0.75
The linear equation is then calculated as:
y = m(x - x1) + y1
This gives
y = 0.75(x - 8) + 4
Evaluate the bracket
y = 0.75x - 6 + 4
Evaluate the sum
y = 0.75x - 2
Hence, the equation of the line is y = 0.75x - 2
Read more about linear equations at:
brainly.com/question/1884491
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Answer:
B - Only f(x) and h(x) have x- intercept (f(x) = h(x) = 0 at x = 0)
C - The minimum of h(x) is less than other minimums (h(x) = -28 is smallest)
E - The maximum of g(x) is greater than other maximums (g(x) = 49 is biggest)
Answer:
y = -x + 2
Step-by-step explanation:
Given the two points on the graph, (-2, 4) and (0, 2), we can start by solving for the slope of the line.
Let (x₁, y₁) = (-2, 4)
(x₂, y₂) = (0, 2)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 - 4) / [0 - (-2)]
m = -2/ (0 + 2)
m = -2/2 = -1
Therefore, the <u>slope</u> of the line is -1.
Next, we need to determine the <u>y-intercep</u>t of the line, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it is evident that it crosses the y-axis at point (0, 2), which happens to be one of the points we used to solve for the slope. Its y-coordinate, y = 2, is what we will use as the value of b in the slope-intercept form, y = mx + b.
Therefore, given the <u>slope</u>, <em>m</em> = -1, and the<u> y-intercept</u>, <em>b</em> = 2, the equation of the line is:
<h3>
y = -x + 2</h3>
Answer:
<u>Perimeter
</u>
Step-by-step explanation:
Draw the polygon to have an idea of what you are being asked.
<h3>See picture attached
</h3>
Now find the length of each side and add them up, that is the perimeter.
To find the length of a side use the formula of the distance between to points (a,b) and (c,d)
<u>Distance between (-2,1) and (-3,3)
</u>
<u>Distance between (-3,3) and (-1,5)
</u>
<u>Distance between (-1,5) and (2,4)
</u>
<u>Distance between (2,4) and (2,1) (obviously 3)
</u>
<u>Distance between (2,1) and (-2,1) (obviously 4)
</u>
Add up all the lengths
<u>Perimeter
</u>
