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).
Answer:
y= $50x + $25
Step-by-step explanation:
Slope-intercept form is y=mx+b
x is something that is constant
b is something you add on to the constant
p = 12x is the function rule to calculate the total number of pens when you know the number of boxes
<em><u>Solution:</u></em>
Given that,
Pen are shipped to the office supply store in boxes of 12 each
To find: Write a function rule to calculate the total number of pens when you know the number of boxes
Let "p" be the total number of pens
Let "x" be the number of boxes
Number of pens in each box = 12
Then from given information,
Total number of pens = Number of boxes multiplied by number of pens in each box
Thus the function rule is found
Answer:
Option B.
Step-by-step explanation:
The given table of values is
x f(x)
-3 -2
-2 0
-1 2
0 2
1 0
2 -8
3 -10
4 -20
We need to find the interval for which the function f(x) is positive.
From the given table it is clear that the value of function f(x) is negative before -2 and after 1.
The function positive between x=-2 and x=1. So, we can conclude that the function f(x) is positive for the interval (-2,1).
Therefore, he correct option is B.
Answer:
Step-by-step explanation:
x²+y²=r²
r²=12
r=√12=2√3
