What are the solutions of the equation (x−9)2=64?
1 answer:
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Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
Answer:
C. y=36(1.2)t
Step-by-step explanation:
The number of members in the Club in t years after 2001 is given by an equation in the following format:
In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.
The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.
This means that
So
The correct answer is C.
The graph that represents the given line with slope and y-intercept is as attached below.
<h3>How to interpret Linear Graphs?</h3>
We are given the equation;
x - y - 3 = 0
Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c
where;
m is slope
c is y-intercept
Thus, our equation can be rearranged to get;
y = x - 3
Thus, y-intercept is c = -3
The graph that represents the given line is as attached below.
Read more about Linear Graphs at; brainly.com/question/14323743
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