Answer:
Step-by-step explanation:
To begin factoring the expression 
, we use the GCF or greatest common factor. The greatest common factor is the greatest number that will divide into two or more values. We start to find it by factoring each term:
Remember -10 can factor into smaller numbers but since it doesn't have common factors with the others, we've chosen to leave it as -10.
We notice the only common factors bare p*p or 
.
We write in the form p^2(____+_____+_____). We find the inside of the parenthesis by dividing each term by p^2.
.
We are not finished yet. We have a trinomial (3 terms) which also factors. We factor by splitting the middle term 3p into factors of -10 which add to 3.
--10 = 5 * -2
3p= 5p +-2p
We write .
Answer: 15 pongs you say?
Step-by-step explanation:
Mapping the triangle on one another simply means you use rigid transformations, which involve scaling. So the second triangle is congruent.
Since 3 is the shortest side, 27 pairs with three, so:
27/3 = 9
The second triangle is 9 times larger.
Using this we can do:
5 * 9 = 45
6 * 9 = 54
since 6 is the largest side, 54 is our answer! Or is it?
Note that this is a right triangle, so we use the Pythagorean theorem to find the hypotenuse.
= 
so 9*sqrt(34) is our answer
Answer:
x = 9
Step-by-step explanation:
1) Subsitute! You have to replace y with 2x - 2 in 3x -y = 7, b/c they already gave you the equation for y (in the second part: y = 2x - 2)
So, your equation would look like this : 3x - (2x - 2) = 7
3) Solve suing PEMDAS!
There's a negative outside the parenthesis of 2x -2 -> - (2x-2). Multiply the negative individually inside the parenthesis so you will get (-2x + 2)
3x - 2x - 2 = 7 subtract the same variable; x
1x - 2 = 7 you don't need to put 1 to x, only if you want!
+ 2 + 2 add 2 on both sides
x = 9
If Jeff starts with 1/2 of a pizza then eats 1/3 of it he has 2/3 of 1/2 left. Therefore if you multiply those together you get your answer.
(2/3)*(1/2)=2/6=1/3
Jeff has 1/3 of the pizza left
