Answer: y = 2x - 13
Step-by-step explanation: Start with the formula y=mx+b. Remember that the slope of the parallel line, m, is the same. Now you have y = 2x + b. You can find b, the y intercept, knowing that the line passes through the point given: -1 = (2) * 6 + b. So now we see that b = -13.
Answer:
7/20
Step-by-step explanation:
Since y varies directly with x, the ratio of y to x is proportional.
... y / 7 = (1/4)/(5)
... y / 7 = 1 / 20 . . . . simplify
... y = 7/20 . . . . . multiply by 7
Step-by-step explanation:
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Answer:
Sum is - 5n² -8n + 4.
Step-by-step explanation:
Given : (3n² – 5n + 6) + (–8n²– 3n – 2) .
To find : Sum .
Solution : We have (3n² – 5n + 6) + (–8n²– 3n – 2) .
Combine like terms :
(3n² - 8n²– 5n - 3n + 6 - 2).
- 5n² -8n + 4.
Therefore, Sum is - 5n² -8n + 4.
The length and width of the rectangle is 11 in and 8 in respectively.
Step-by-step explanation:
Given,
The width of a rectangle is 3 in less than the length.
The area of each congruent right angle triangle = 44 in²
To find the length and width of the rectangle.
Formula
The area of a triangle with b base and h as height =
bh
Now,
Let, the width = x and the length = x+3.
Here, for the triangle, width will be its base and length will be its height.
According to the problem,
×(x+3)×x = 44
or, 
or,
or,
+(11-8)x-88 = 0
or,
+11x-8x-88 =0
or, x(x+11)-8(x+11) = 0
or, (x+11)(x-8) = 0
So, x = 8 ( x≠-11, the length or width could no be negative)
Hence,
Width = 8 in and length = 8+3 = 11 in