The shorter leg of a right triangle is 7 centimeters nbspless than the other leg. Find the length of the two legs if the hypoten
use is 13 centimeter
1 answer:
Answer:
The shorter leg of the right triangle is
The other leg of the right triangle is
Step-by-step explanation:
Let
x-----> the shorter leg of a right triangle
y----> the larger leg of a right triangle
we know that
Applying the Pythagoras Theorem
----> equation A
----> equation B
substitute equation B in equation A and solve for y
using a graphing tool----> solve the quadratic equation
The solution is
see the attached figure
Find the value of x
therefore
The shorter leg of the right triangle is
The other leg of the right triangle is
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Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)
A. 21x+63 Hope this helps!
