Answer:
Given a triangle ABC, Pythagoras' Theorem shows that:

Thus,

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.


Therefore when given the hypotenuse with endpoints at

We know that the third point of the right triangle will be at

and that the two side lengths will be defined by the absolute values of:


Answer:
198
Step-by-step explanation:
No. of Pencils in a box = 45
No. of Boxes of Pencil = 22
Total No. of Pencils = 
= 990
No. of fourth grade classes = 5
So, the no. of pencils each class will receive is,

= 198.
Each class will receive 198 pencils.
The next term of the sequence is -1.
Given, a sequence is defined recursively by the formula
f(n + 1) = f(n) + 3.
The first term of the sequence is -4.
We, have to find the next term of the sequence,
On using the formula of the sequence, we get
f(n + 1) = f(n) + 3
As, f(1) = -4
Put n = 1,
f(1 + 1) = f(1) + 3
f(2) = f(1) + 3
f(2) = -4 + 3
f(2) = -1
So, the next term of the sequence is -1.
Hence, the next term of the sequence is -1.
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Answer:
D) 5.5%
Step-by-step explanation:
To find the interest rate, use the equation: I = prt
I = Interest = $6,600
p = principal = $15,000
r = rate = unknown
t = time = 8 years
Now plug the numbers into the equation.
6,600 = 15,000 * r * 8
6,600 = 120,000 * r
Now isolate the variable by dividing both sides of the equation by 120,000.
0.055 = r
Now change the rate to a percent by moving the decimal point 2 digits to the right.
5.5% = r OR r = 5.5%
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