Answer:
see below
Step-by-step explanation:
9 ^-5 * 9^-3
When multiplying these we ADD the exponents:
9^-5 * 9^-3
= 9^(-5 + -3)
= 9 ^-8
= 1/9^8 Option A
2. 2^14 / 2^7 This is a division so we SUBTRACT the exponents:-
= 2^(14 - 7)
= 2^7 (answer)
3. If the triangle is a right angled one then it will obey Pythagoras Theorem so:-
13^ = x^2 + 5&2
x^2 = 13^2 - 5^2
x^2 = 144
x = 12 (answer)
4. The last choice is a crucial step.
The total area of the triangles is the same in both large squares so the area of the large square e^2 = a^2 + b^2 ( the 2 squares in the left side large square).
The unit rate in the equation is 20.
Option C) is the correct answer.
<u>Step-by-step explanation</u>:
Step 1 :
In the given equation y = 20x
where,
x ⇒ total number of hours for tutoring
20 ⇒ the cost per hour of tutoring
y ⇒ the total cost for total hours of tutoring
Step 2 :
Unit rate refers to the value per hour.
Here, the cost for 1 hour of tutoring is $20.
∴ The unit rate is $20 per hour of tutoring.
They need to have common denomenators so change the fractions to 12/15 - 5/15 which is 7/15.
Answer:
The value of
is -16.
Step-by-step explanation:
We need to evaluate
for x = -1, y = 5 and let us assume that z = 1
It can be simply done by putting the values of x,y and z in the given expression.

We know that the value of 4² = 16
So,

So, the value of
is -16.
Answer:
D
Step-by-step explanation:
If you draw the shape in D and assemble it you will get the answer
btw please mark brainliest