Answer:
using pythagoras theorem
a^2+b^2=c^2
8^2+x^2=(x+2)^2
64+x^2=x^2+2*x*2+2^2
64+x^2=x^2+4x+4(here x^2 of left hand side and x^2 of right hand side gets cancel)
64=4x+4
64-4=4x
60/4=x
15=x
Step-by-step explanation:
For this case we have the following situation:
The monthly cost of a gym in the city is $ 3. The initial registration is $ 25. Write a mathematical expression that models the problem.
So we have to define variables:
x: number of months
y: total cost
The mathematical expression that models the problem is:
Answer:
Step-by-step explanation:
45 = (b(4b - 2))/2
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2
If we were looking for zeroes, this would be an answer, but since we're looking for measurement, we don't use negative numbers.
90 = 4b2 - 2b
4b2 - 2b - 90 = 0
(2b + 9)(2b - 10) = 0
2b + 9 = 0
2b = -9
b = -9/2
The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.
Let's say we had the expression 
The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.
The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so

With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.
Answer:
See attached graph
Step-by-step explanation:
The equation is y-3=(x + 6)
Write the equation in a slope intercept form, then graph the equation on a graph tool to see the points that line on the line.
Alternatively , using the coordinates in the answer choices given, input them in the equation of the graph and select the answer choice that has all its coordinates true to the equation.
y-3 = x+6 -----can be written as : y= x+9
Graph y= x+9 to see the graph and the points that are on the line as attached.