Answer:
A
Step-by-step explanation:
a^2 + 144^2 = 145^2
a^2 + 20736 = 21025
a^2 = 289
a = sqrt(289)
The amount he pays per month can be represented by
24 + .15m
x = 4
x = -1
x = 0
Equation at the end of step 1 :
((3 • (x3)) - 32x2) - 12x = 0
Step 2 :
Equation at the end of step 2 :
(3x3 - 32x2) - 12x = 0
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
3x3 - 9x2 - 12x = 3x • (x2 - 3x - 4)
Trying to factor by splitting the middle term
4.2 Factoring x2 - 3x - 4
The first term is, x2 its coefficient is 1 .
The middle term is, -3x its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
x2 - 4x + 1x - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-4)
Add up the last 2 terms, pulling out common factors :
1 • (x-4)
Step-5 : Add up the four terms of step 4 :
(x+1) • (x-4)
Which is the desired factorization
Answer:
-1. is -3/7
Step-by-step explanation:
6×-4/11*7 ÷ (4/3×6/11)
-24/11×7 ÷ (4/3×6/11)
-24/77 ÷ (4/3×6/11)
-24/77 ÷ (24/3×11)
-24/77 ÷ 24/33
-24/77 × 33/24
-1/77 × 33
-33/77
-3/7
Answer:
The midpoint of PR is;
(a + b, c)
Step-by-step explanation:
Here, we want to get the coordinates of the midpoint of PR
To get these, we make use of the midpoint formula
Mathematically, that will be;
(x,y) = (x1+y1)/2, (x2+y2)/2
(x1,y1) = (0,0)
(x2,y2) = (2a+2b, 2c)
The midpoint is thus;
(2a+2b)/2 , 2c/2
= (a + b, c )
