You start by distributing: 8s-4=7s+12
Combine like terms: 8s-7s=12+4
Solve and get your answer: s=16
Answer:
14, 48, 50
Step-by-step explanation:
To check which set of side length can be used to form a right triangle we use pythagorean theorem
c^2 = a^2 + b^2
biggest side (hypotenuse is c^2)
(a) 14, 48, 50

2500= 196+2304
2500= 2500 that is true
(b) 30, 40, 60

3600= 900+ 1600
3600= 2500 that is false
(c) 14, 50, 60

3600= 196+2500
2500= 2196 that is false
(d) 10, 24,28

784=100+576
784=676 that is false

Since they are both squared.
Evaluating 5^2 and 2^2 and finding the quotient also works.

The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.
Answer:

Step-by-step explanation:
<u>Linear Modeling</u>
It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.
For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

Let's plug in our values

Simplifying:


Answer:
The percentage change of vacationers is 33.3 %
Step-by-step explanation:
Given as :
The old value of the vacationers = $ 1500
The new value of the vacationers = $ 2000
Let the percentage variation = x %
Or, x % increase =
× 100
Or, x % increase =
× 100
Or, x % increase =
× 100
Or, x % increase =
× 100
Or, x % increase = 
∴ x = 33.3 %
So, The percentage increase change is 33.3 %
Hence The percentage change of vacationers is 33.3 % Answer