Answer: and are congruent because they are a pair of alternate exterior angles.
The value of x from the given equation is -2
<h3>Equations and expressions</h3>
Equations are expressions separated by an equal sign.
Given the expression
x/2 - (5x-3)/12 = 1/3 x - 0.75
Find the LCM
6x-(5x-3)/12 = 1/3 x - 0.75
(x+3)/12 = 1/3 x - 0.75
(x+3)/12 - x/3 = -0.75
(x+3-4x)/12 = 0.75
-3x +3 = 9
Subtract 3 from both sides
-3x = 9 - 3
-3x = 6
x = -2
Hence the value of x from the given equation is -2
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It is negative association, not positive since the line is going down.
Answer:
Step-by-step explanation:
The standard form of a parabola is
If we know the y intercept is (0, 400), that means that when x = 0, y = 400. That allows us to begin by finding c:
and c = 400.
Now to find a and b. Using the fact that the vertex is (1, 405), we know that h is 1 and k is 405. If
and h = 1, then
and
2a = -b so
b = -2a. Save that for a minute or two.
If
and k = 405, then
and
and
405 = 400 - 4a and
5 = -4a so
We will use that a value now to find the value of b. If b = -2a, then
and
Writing our parabolic equation now:
Finding the x-intercepts is just another way of saying "factor this quadratic" so we will begin that by setting the quadratic equal to 0:
and who hates all those fractions more than I do? Probably nobody, so we are going to get rid of them by multiplying everything by 4 to get
Assuming you can throw that into the quadratic formula to solve for the 2 values of x where y = 0, you'll find that the x-intercepts are
x = -16.91647287 and 18.91647287