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Nimfa-mama [501]
2 years ago
8

Consider the following pair of equations:

Mathematics
1 answer:
V125BC [204]2 years ago
4 0
The pair of equations:
y = x + 4
y = -2x - 2

To solve the system of equation by substitution, you would substitute one variable for it's equivalent expression. Combining the pair of equations into one equation in only one variable. The easiest way to do this is by substituting out the variable y because it is already alone on one side of the equal sign. Substitute the y in the second equation for: x+4

x+4 = -2x - 2
solve for x
x + 2x = -2 -4
3x = -6
x = -2

now use the value for x to find y by putting into either equation.

y = x + 4
y = (-2) + 4
y = 2

solution is: (-2, 2)
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A homeowner is installing a swimming pool in his backyard. he want its length to be 4 feet longer than its width. then he wants
marishachu [46]
1. You have that:

 - The homeowner<span> want the length of the swimming pool to be 4 feet longer than its width.</span> 
 - He wants to surround it with a concrete walkway 3 feet wide.
 - He can only afford 300 square feet of concrete for the walkway.

 2. Therefore, the tota area is:

 At=L2xW2

 L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).
 W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

 3. The area of the walkway is:

 A2=At-A1

 A2=300 ft²

 4. Therefore, you have that the width of the swimming pool is:

 A2=(W1+10)(W1+6)-(W1+4)(W1)
 300=(W1²+6W1+10W1+60)-(W1²+4W1)
 W1²+16W1+60-W1²-4W1-300=0
 12W1-240=0
 W1=240/12
 W1=20 ft

 5. And the length is:

 L1=W1+4
 L1=20+4
 L1=24 ft
8 0
2 years ago
Need help with this question. Thank you
V125BC [204]
I think the answer is b
3 0
3 years ago
Read 2 more answers
A map of a new dog park shows that it is triangular and that the sides measure 18.5m, 36.9m, and 16.9m. Are the dimensions corre
r-ruslan [8.4K]
In order to check whether the length of the sides are applicable to form a triangle is that we have to make sure that the sum of the length of two side should be greater than the third side.

<span>18.5 m, 36.9 m, and 16.9 m
18.5 m < </span><span>36.9 m +16.9 m
</span>36.9 m < 18.5<span> m +16.9 m
</span>16.9 m < 18.5 m + <span>36.9 </span>m

So the dimensions are correct!
5 0
3 years ago
What is 2/6 in simplest form? Find the greatest common factor of 2 and 6 and divide by that number. *
nalin [4]

Answer:

\frac{1}{3}

Step-by-step explanation:

2 = 2 × 1

6 = 2 × 3

GCF = 2

\frac{2 /2 }{6/2} =\frac{1}{3}

3 0
2 years ago
Read 2 more answers
Nasir and Seif began with an equal number of Skittles. Nasir ate 10 Skittles, and Seif ate 6. Now the ratio of Nasir's Skittles
Finger [1]
X=Amount of skittles at the start.
Nasir ate 10 skittles and Seif ate 6 skittles so the number of skittles they had(x) - how many they both ate equals : 2/3;

(x-10)/(x-6)=2/3
3(x-10)=2(x-6)
3x-30=2x-12
x-30=-12
x=18

They each started with 18 skilttles.
7 0
2 years ago
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