Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute
in (i).


Putting
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute
in (ii).

Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get




Putting
in (iv), we get



Putting
in (ii), we get
Therefore, the required quadratic equation is
.
Answer:
Step-by-step explanation:
y - 1 = -3(x - 6)
Answer:
You can use tree diagrams to find the probability of something
The measure of m<MAR= 28 de
<h3>What is angle bisector?</h3>
Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts.
Given:
AT bisects <MAR
and, m<MAT= (6x-4) and and m<RAT = (2x+8)
As, <MAR is bisected by ray AT.
So,
<MAT = <RAT
6x-4= 2x+8
6x- 2x = 8+4
4x = 12
x= 3
So, <MAT = 6x-4= 6*3-4= 14
and, <RAT = 2x+8 = 14
Hence, MAR= <MAT + <RAT = 14+14=28
Learn more about angle bisector here:
brainly.com/question/28557178
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