Answer:
The equation is p=34a+12, and a=7
Step-by-step explanation:
Perimeter is all of the sides added together
p=12a+6a+8+6a+8+10a-4
Combine like-terms
p=34a+12
Solve for a by making p equal to 250
250=34a+12
Subtract 12 from both sides
238=34a
Divide both sides by 34
7=a
Two parallel lines never intersect, therefore they will never have a solution.
One line could be x=6 and the other could be x=2
Hope this helps :)
The first thing you want to do is plug in x and y into both equations:
a(3) + b(4) = 4
b(3) + a(4) = 8
rearrange to line up a’s and b’s
3a + 4b = 4
4a + 3b = 8
now you want to choose a or b and multiply each equation by a number to make them have the same amount of a’s or b’s.
4(3a + 4b = 4) = 12a + 16b = 16
3(4a + 3b = 8) = 12a + 9b = 24
Now we subtract the bottom equation from the top and solve for b:
12a + 16b - (12a + 9b) = 16 - 24
7b = -8
b = -8/7
Now we plug back in for b to one of the original equations:
3a + 4(-8/7) = 4
3a + (-32/7) = 4
3a - (32/7) = 4
3a = 4 + (32/7)
3a = (28/7) + (32/7)
3a = 60/7
a = (60/7)/3 = 20/7.
Finally, plug a and b in together to double check using the second equation.
4a + 3b = 8
4(20/7) + 3(-8/7) = ?
(80/7) - (24/7) = ?
56/7 = 8.
Answer:
Step-by-step explanation:
Start with f(x) = √x.
1) Multiplying this by "c" will either stretch or shrink the graph: stretch, if "c" is > 0; shrink, if 0 < c < 1.
2) Replacing 'x' with 'x - h' will translate the original graph h units to the right, if h is positive;
Replacing 'x' with 'x - h' will translate the original graph h units to the left, if h is negative.
3) Adding k to f(x) = √x will translate the graph upward by k units if k is positive and downward by k units if k is negative.
