F(x)=x^2 what is g(x)
1 answer:
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Answer:
slope= -3
y-intercept= 6
Step-by-step explanation:
1. Approach
To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.
2.Solve for the slope
The formula to find the slope of a line is;
Where (m) is the variable used to represent the slope.
Use the first two given points, and solve;
(1, 3), (2, 0)
Substitute in,
Simplify;
3. Put equation into slope-intercept form
The equation of a line in slope-intercept form is;
Where (m) is the slope, and (b) is the y-intercept.
Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).
Substitute in point (3, -3)
Answer:
Length of the rectangle = 16 inches
Width of the rectangle = 12 inches
Step-by-step explanation:
Let the length of the rectangle be represented by x.
Then width can be expressed as
Perimeter of a rectangle is the sum of four sides of the rectangle.
This can be expressed as 2*(length + breadth)
=
=
=
But perimeter is given as 56.
So,
=>
=>
Hence length of the rectangle = 16 inches
Width of the rectangle = = 12 inches
Answer:
Step-by-step explanation:
Given
Required
Find NOK
From the attached triangle, we have:
--- Corresponding angles
And
Substitute for LOK and LON
Make NOK the subject