Step-by-step explanation:
step 1. perpendicular lines have negative reciprocal slopes
step 2. perpendicular to m = 1/3 is the slope m = -3/1 or m = -3
step 3. a line through (3, 2) with m = -3 is y - 2 = -3(x - 3)
step 4. y - 2 = -3x + 9
step 5. y = -3x + 11.
For Q3, you can subsitute x = 2 and y = 5 into the systems
-5(2) + 5 = -5
so it's a solution for the first system
-4(2)+2(5) = 2
it's also a solution for the second system
Answer:
108
Step-by-step explanation:
12 x 9 =108
Answer:
To find part A you need to find common denominator.
1/3 + 3/5=
5/15 + 9/15= 14/15
His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.
To find part B you also need to find the least common denominator.
11/12-5/6=
11/12-10/12=1/12
His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.
Step-by-step explanation:
Answer:
Yes, he will have enough 3 over 8 ft pieces for his class.
Step-by-step explanation:
Given:
Number of wood required = 22
Length of each wood, 
Total length of the board, 
Therefore, the number of woods that can be made using the given board is given as:
So, he can make 24 woods of length 
using the 9 ft board. But he has to make only 22 pieces.
Therefore, he has enough of the wood to make the required number of pieces.
