Answer:
17, 19, 21
Step-by-step explanation:
If we denote the smallest number as x, then the middle number will be x + 2 and the largest number will be x + 2 + 2.
The equation is:
x + (x + 2) = 3 * (x + 2 + 2) - 27
2x + 2 = 3x + 12 - 27
2x - 3x = 12 - 27 - 2
-x = -17
x = 17
The numbers are: 17, 19, 21
Let's check to be sure:
17 + 19 = 36
3 * 21 - 27 = 63 - 27 = 36
parallel means "same slope (m)"
m = 
= 
Now, input the point (0, 0) and the slope 
into the Point-Slope formula:
y - y₁ = m(x - x₁)
y - 0 = 
(x - 0)
y = 
3y = -5x <em>multiplied both sides by 3</em>
0 = -5x - 3y <em>subtracted 3y from both sides</em>
Answer: C
Answer:
The statement is false
Step-by-step explanation:
we know that
if the triangle is a right triangle
then
the triangle must satisfy the Pythagoras Theorem
we have
substitute
therefore
Is not a right triangle
The statement is false
<span>Is it possible for a composite number to have more than one prime factorization?The Answer is Yes. Prime factors are factors of a composite number that are indivisible except by the number 1 or the number itself. it is possible especially for very large numbers. 2&3. No, because as mentioned previously, the default prime factors of numbers are 1</span>
Answer:
Amount= $2933.2
Step-by-step explanation:
The interest of $2,500 principal earning with rate of 4%, compounded quarterly, after 4 years
A= p(1+r/n)^(nt)
P= $2500
r= 4/100= 0.04
t= 4
n = 4*4= 16
A= 2500(1+0.04/16)^(16*4)
A= 2500(1+0.0025)^(64)
A= 2500(1.0025)^64
A= 2500(1.17328)
A= 2933.2
Amount= $2933.2
