Answer:
x = 5
Step-by-step explanation:
The sum of the side lengths shown is ...
(2x) + (3x +2) + (4x +1) = 9x +3
That is the perimeter of the inscribed triangle. That triangle is similar to triangle ABC by a scale factor of 1:2, so the perimeter of ΔABC is ...
2(9x +3) = 96 = 18x +6
90 = 18x . . . . subtract 6
90/18 = x = 5 . . . . . divide by the coefficient of x
Linear functions can be written in the form y=mx+b, where:
y is a y coordinate on the line
m is the slope of the line
x is the x coordinate on the line that corresponds with the y coordinate in the equation
b is the y-intercept of the line
So for the equation y=-10x+1:
m=-10 and b=1 so the slope of the line is -10, and the y-intercept is 1. Your answer is B.
Answer:
4x + y = 1
Step-by-step explanation:
Start with the familiar format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
With a slope of -4, we can write:
y = -4x + b
We need to find a value for b that forces the line through point (1,-3). This is done by entering this point in the equation and solving for b:
y = -4x + b
-3 = -4*(1) + b
b = 1
The equation is y = -4x + 1, This can be rewritten as:
4x + y = 1
Se attached graph.
y = mx + b
Where m = slope and b is the y intercept
Let's find the slope = change in y/change in x
m = (4-2)/(-6+2) = 2/-4 = -1/2
Now we have:
y = (-1/2)x + b
Now substitute point (-6,4)
4 = (-1/2)(-6) + b
4 = 3 + b
b = 1
So y = (-1/2)x + 1 is the equation.
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