Answer:
The value of a is 8
Step-by-step explanation:
If the three lines are collinear, they all lie on the same line
So let us have the equation of a line that passes through the known ends
the slope will be;
m = (6-2)/(3 + 5) = 4/8 = 1/2
The general form is;
y = mx + b
so, we have
y = 1/2x + b
To get b, we use any of the two known points
6 = 3/2 + b
b = 6-3/2
b = (12-3)/2 = 9/2
So the equation of the line is;
y = 1/2x + 9/2
Multiply through by 2
2y = x + 9
So for the point , to get a , we have that
2(a) = 7 + 9
2a = 16
a = 16/2
a = 8
A simple way to look at how to check for equivalent fractions<span> is to do what is called “cross-multiply”, which means multiple the numerator of one </span>fraction<span> by the denominator of the other </span>fraction. Then do the same thing in reverse. Now compare the two answers to see if they areequal<span>.</span>
Answer:

Step-by-step explanation:
Diameter = 22 units
Radius = 11 units
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Hope this helped!
<h2>~AnonymousHelper1807</h2>
Answer:
Step-by-step explanation:
Slope of a line passing through two points
and
is given by the formula,
Slope = 
Slope of the line PQ passing through the two points P(-8, 2) and Q(4, 2) will be,
Slope '
' =
= 0
Therefore, slope of the line PQ parallel to the x-axis = 0
Slope of the line MN passing through the points M(8, 6) and N(8, -8) is,
Slope '
' =
= ∞
Therefore, slope of the line MN parallel to y-axis is undefined.
Since, angle between the x-axis and y-axis is 90°,angle at the intersection point between the lines parallel to x and y axis will be 90°.
These lines are perpendicular to each other.
Answer:
Equation of the Line: y = 1.25x + 5
Equation in Standard Form: 5x - 4y = -20
Step-by-step explanation:
y = mx + b
=
=
or 1.25
y = 1.25x + 5
Ax + By = C (A must be positive, and no fractions or decimals)
y = 1.25x + 5
-1.25x + y = 5
times -4
5x - 4y = -20