. A friend opens a savings account by depositing $1000. He deposits an
1 answer:
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Answer:
Length of right-angle triangle 'a' = 4
b)
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Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given b = 3 and hypotenuse c = 5
Given ΔABC is a right angle triangle
By using pythagoras theorem
c² = a² + b²
⇒ a² = c² - b²
⇒ a² = 5²-3²
=25 - 9
a² = 16
⇒ a = √16 = 4
The sides of right angle triangle a = 4 ,b = 3 and c = 5
<u><em>Step(ii):-</em></u>
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Answer:
5.5
Step-by-step explanation:
The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.
Recall the slope-intercept equation, , where m = slope of the line, b = y-intercept.
To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):
.
Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):
Therefore, b = y-intercept = 5.5.
To generate the equation of the line, plug in the values of m and b, we would have:
y = ¾x + 5.5
The y-intercept of the line of the graph is 5.5.