Answer:
8, 15 and 17 feet respectively
Step-by-step explanation:
Let the shorter leg=l feet
The longer leg of a right triangle is 7 ft longer than the shorter leg, therefore Length of the longer leg=(l+7) feet
The hypotenuse is 9ft longer than the shorter leg. Therefore Length of the hypotenuse=(l+9) feet
Using Pythagoras Theorem
This results into:
l-8=0 or l+4=0
l=8 or -4
Since length cannot be negative, The length l=8 feet
The sides of the rectangle are therefore: 8, 15 and 17 feet respectively
Answers:
So the solution is (x,y) = (4, -1)
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Work Shown:
6x + 7y = 17
6x + 7( y ) = 17
6x + 7( -3x+11 ) = 17 ... replace every copy of y with -3x+11
6x - 21x + 77 = 17
-15x = 17-77
-15x = -60
x = -60/(-15)
x = 4
We'll use this x value to find y
y = -3x+11
y = -3(4)+11 ... replace x with 4
y = -12+11
y = -1
We have x = 4 and y = -1 pair up together to give us the solution (x,y) = (4, -1)
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To check the solution, we plug x = 4 and y = -1 into each equation
Plugging the values into the first equation leads to...
y = -3x+11
-1 = -3(4)+11
-1 = -1
This is effectively already done in the last part of the previous section. But it doesn't hurt to verify like this regardless.
We'll need to verify the second equation as well.
6x + 7y = 17
6(4) + 7(-1) = 17
24 - 7 = 17
17 = 17
We get a true equation, so the solution is confirmed with both equations. Overall, the solution to the system of equations is confirmed. This system is independent and consistent.
9514 1404 393
Answer:
- 5 containers
- 1/3 pound left over
Step-by-step explanation:
The amount Victoria needs is ...
(1/3 lb/burger) × 14 burgers = (1/3)(14) lb = 4 2/3 lb
The next higher multiple of 1 lb is 5 lb.
Victoria needs to buy 5 containers of tofu. There will be 1/3 lb left over.
Answer:
(x,y) (1,3)
Step-by-step explanation:
3x=-x+4
+x +x
4x=4
*divide/simply*
x=1
y=3(1)
y=3✓
y=-1+4
y=3 ✓
Answer:
answer is B_ 2
Step-by-step explanation:
