Answer:
y=3x - 1
Step-by-step explanation:
slope = 3
It intercepts at -1
y=3x - 1
Answer:
176 cubic feet I think
Step-by-step explanation:
352 / 2 = 176
For congruency the related sides need to be similar, which means they letters need to be in the correct order.
AB would be EF, BC would be FG and AC would be EG
This would make the correct answer BC ≅ FG
Answer:
Is it 2160?
Step-by-step explanation:
This is permutation
Imagine □□□□□, each □ represents a digit
For the 1st □, there are 6 choices, since "0" cannot be the first digit, or else it is not a 5-digit number
For the 2nd □, there are 6 choices (1 out of the 7 number is already used)
For the 3rd □, there are 5 choices (2 out of 7 numbers are used)
And so on.....
Therefore,
6×6×5×4×3 = 2160
19) 67x²+115x+48
20) (w+8)²
21) (d+11)²
22) (r+7)(r-7)
Explanation:
19) The area of the ceiling is given by (10x+9)(7x+7). Multiplying we have:
10x*7x+7*10x+9*7x+9*7
=70x²+70x+63x+63
=70x²+133x+63
The area of the skylight is given by (x+5)(3x+3). Multiplying we have:
x*3x+3*x+5*3x+5*3
=3x²+3x+15x+15
=3x²+18x+15
To find the remaining area of the ceiling we subtract:
(70x²+133x+63)-(3x²+18x+15)
=70x²+133x+63-3x²-18x-15
=67x²+115x+48
20) To factor, we want to find factors of c, 64, that sum to b, 16. 8*8=64 and 8+8=16; therefore we have:
(w+8)(w+8)
Since this is the same binomial twice, we write it as (w+8)²
21) Again we look for factors of c, 121, that sum to b, 22. 11*11=121 and 11+11=22, so:
(d+11)(d+11)
Since this is the same binomial twice, we have (d+11)²
22) Factors of -49 that sum to 0 (there is no r term, just r²): -7*7=-49 and -7+7=0, so:
(r-7)(r+7)
