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:
4m (A)
Step-by-step explanation:
since normally you multiply everything to get volume, we can divide the things we have from volume to get missing side. 240/12 then divided by 5=4
Answer: Explanation:The slope-intercept form of a linear equation is: y=mx+bWhere m is the slope and b is the y-intercept value.We can subtract 5x from each side of the equation to put the equation in slope intercept form while keeping the equation balanced:−5x+5x+y=−5x+40+y=−5x+4y=−5x+4Therefore:The slope is: m=−5The y-intercept is: b=4 or (0,4)
Step-by-step explanation:
The construction that you can use to prove the Pythagorean
Theorem based on similarity of triangles is 2nd construction. Please see the
attached file.
To add, in mathematics, the Pythagorean theorem, also
known as Pythagoras's theorem, is a fundamental relation in Euclidean
geometry among the three sides of a right triangle. It mentions that the sum of
the squares of the other two sides is equal to the square of the hypotenuse
(the side opposite the right angle).
Answer:
-64/33
Step-by-step explanation:
-5 1/3 / 2 3/4
-16/3 / 11/4
-16/3 * 4/11
-64/33