Which of the following shows the length of the third side, in inches, of the triangle below?
2 answers:
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Answer:
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (-2, 4) and (2, 7).
The most common way to write the equation of the line is in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
First, let's find the slope of the line.
The slope, calculated from two points is given as the formula , where
and
are points.
We have two points, which is needed to find the slope, but let's label their values to avoid confusion.
Now substitute those values into the formula.
m=
m=
Simplify
m=
m=
So the slope of the line is .
Substitute that value as m in y=mx+b
y=
Now we need to find b
As the equation passes through both (-2, 4) and (2, 7), we can substitute the values of either one of them in the equation to solve for b
Taking (-2, 4) for example,
Substitute -2 as x and 4 as y:
4=
Multiply
4=+b
Add -3/2 to both sides
Substitute that value into the equation
y=
Hope this helps!
Answer:
No maximum
Step-by-step explanation:
Given
Solving (a): The minimum
The minimum is when the absolute parameter gives 0
i.e.
Divide both sides by 0.9
Open bracket
Remove absolute sign
Collect like terms
Then the y value is:
Recall that:
So, we have:
Hence, the minimum is at:
Since the minimum is at , then the graph will open upwards.
Hence. the function has no maximum; i.e.