Y=-6(10)+15
y=-60+15
y=-45
y=-120+15
y=-105
range equals -105 to 45
Answer:
The diagram of the plotting point 
is attached below.
Step-by-step explanation:
Given the points
as
so the point can be visualized as:
Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)
The diagram of the plotting point is attached below.
Answer:
They have the same slope
Step-by-step explanation:
Given
Coaster 1:
Coaster 2:
First, we calculate the slope (m) of both coasters
For coaster 1:
For coaster 1:
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<em>By comparison, they have the same slope</em>
From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse or the longest side and a, b are the two shorter sides.
To prove that the triangle is indeed a right triangle, we use the equation above.
c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400
Slope intercept form is : y = mx + b
as shown the line passes through (0,-3) so the y intercept is -3
The line now is y= mx - 3
the line passes through (4,-2) so substitute x=4, y = -2 to y=mx - 3, we have:
-2 = 4m -3 so m= 1/4
Ans: y = 1/4x -3
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