Answer:
Bumby Avenue is represented by the line:
y = -4*x - 7.
Primrose Avenue can be represented with:
8x + 2y = 17.
We may want to find the point where both avenues intersect.
Let's isolate y in this second equation:
2y = 17 - 8x
y = 17/2 - 8x/2 = -4*x + 17/2
Now we can see that the equation for Primrose Avenue has the same slope than the equation for Bumby Avenue, and when two linear equations have the same slope, means that the lines are parallel.
Then we can conclude that Primrose Avenue and Bumby Avenue are parallel, so they never meet eachother.
Answer:
9 units
Step-by-step explanation:
If you assume the solution is an integer, then you are looking for factors of 27 that differ by 6. You don't have to look far:
27 = 1×27 = 3×9
If the length is 9 units and the width is 3 units, the width is equal to the length minus 6 units.
The length is 9 units.
_____
<em>Alternate solutions</em>
You can write an equation for the area using L to represent the length. The area is the product of length and width, so is ...
A = LW
27 = L(L-6) = L^2 -6L
You can "complete the square" by adding the square of half the L coefficient:
27 +3^2 = L^2 -6L +3^2
36 = (L -3)^2 . . . . . simplify a bit
6 = L -3 . . . . . . . . . positive square root
9 = L . . . . . . . . . . . . add 3
The length is 9 units.
__
You can also put the quadratic equation into standard form:
L^2 -6L -27 = 0
To factor this, you're looking for factors of -27 that have a sum of -6. From above, we know these are -9 and +3. So the factorization is ...
(L -9)(L +3) = 0
The solutions are the values of L that make these factors be zero:
L -9 = 0 ⇒ L = 9
L +3 = 0 ⇒ L = -3
Only the positive solution is useful as a measure of length. The length is 9 units.
0.25 inches represents 1 mile
----------------------------------------------
Find 1 inch:
----------------------------------------------
1 inch represents 1 ÷ 0.25 miles
1 inch represents 4 miles
----------------------------------------------
Find 3.75 inches:
----------------------------------------------
1 inch represents 4 miles
3.75 inches represent 4 x 3.75 miles
3.75 inches represent 15 miles
----------------------------------------------
Find 2.25 inches:
----------------------------------------------
1 inch represents 4 miles
2.25 inches represent 4 x 2.25 miles
2.25 inches represent 9 miles
----------------------------------------------
Find Area:
----------------------------------------------
Area = Length x Width
Area = 15 x 9
Area = 135 miles²
----------------------------------------------
Answer: 135 miles²
----------------------------------------------
Answer:
x=38
×= 90÷4( divide it to get the answer)
This is not a proper question. Try adding some more information so that it can be solved!
