Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
Fix and 4x hhhhhhhhhhhhhhh
Dave buys the book for $6, that leaves him with $3, Dave has to buy two cards that each cost $1.5 at most in order to buy the same card for each friend.
Answer:
x^2 +y^2
Step-by-step explanation:
Dude this is Pythragorean Theorem =)).
You may have missed this part of your lesson. It's ok and also not ok at the same time beacause pythagorean theorem is a meme.
Ok I'll explain once =)).
Thousands of years ago, a mathematician named Pythagore found out that if we have 3 squares, with one square's area equals to the sum of two other squares, then when we put the sides of the squares together to form a triangle , it'll always be a right triangle ( a triangle with one of its angle is 90°). A square area is measured by the length of its side multipled by itself. So he came up with the statement : In a right triangle, the length of the hypotenuse( the side that does not connect to the right angle) is equalled to the sum of squared other sides.
EG.
In this triangle, the right angle is ^ACB. If length of BC is <em>a</em><em>,</em><em> </em>length of AB is <em>c</em>, length of BC is <em>a</em>
A
I We have a formula :
I \ <em>a</em>^2 + <em>b</em>^2 = <em>c</em>^2
I \
I \
I <em>b</em> \ <em>c</em>
I \
I \
I______\
C <em> a </em> B
So now you can use pythagorean theorem to show off =)).
HOPE YOU LEARN WITH JOY AND HIGH GRADES !!!
Answer:
I think you need to put more info
Step-by-step explanation:
