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Lady_Fox [76]
3 years ago
9

Solving systems by substituting

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

Explanation:

4x+3y=37

y=x-4

4x+3(x-4)=37

4x+3x-12=37

add 12 to both sides

7x=49

x=7

Now you use plug in x

4(7)+3y=37

28+3y=37

subtract 28 to both sides

3y=9

y=3

answer: x=7 and y=3

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Write the equation of a hyperbola with vertices at (-4, 0) and (4, 0) and co-vertices (0, 5) and (0, -5).
sukhopar [10]

Answer:

The answer to your question is  \frac{x^{2}}{16} - \frac{y^{2} }{25} = 1

Step-by-step explanation:

Data

(-4, 0)   (4, 0)

(0, 5)    (0, -5)

Plot the point to determine if it is a horizontal or vertical hyperbola

It is a horizontal hyperbola because the vertices are in a horizontal line. The center is (0, 0).

a = 4

b = 5

Formula

              \frac{x^{2} }{a^{2}} - \frac{y^{2}}{b^{2}} = 1

Substitution

             \frac{x^{2}}{4^{2}} - \frac{y^{2}}{5^{2}} = 1

Equation

            \frac{x^{2}}{16} - \frac{y^{2}}{25} = 1

3 0
3 years ago
Solve the system of equations -x+ 2y = –11 and 5x – 8y = 39 by<br> combining the equations.
Alchen [17]

Answer:

x=-5, y=-8. (-5, -8).

Step-by-step explanation:

-x+2y=-11

5x-8y=39

---------------

5(-x+2y)=5(-11)

5x-8y=39

---------------------

-5x+10y=-55

5x-8y=39

--------------------

2y=-16

y=-16/2

y=-8

-x+2(-8)=-11

-x-16=-11

-x=-11+16

-x=5

x=-5

3 0
3 years ago
PLEASE ANSWER ASAP!!!!!!!!!!!!!
Licemer1 [7]

Answer:

Since you have to distribute the 4 to both terms in parentheses, the equation is simplified like this:

1 + 12x - 40 -12x

= 1 - 40

= -39

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A barrel contains 1513 liters of water. 34 of the water was used to water plants.
Korolek [52]
Considering that 34% of the total quantity of water was used to water the plants we can get to the solution of the problem.
Total quantity of water in the barrel = 1513 liters
Percent of water used for watering the plants = 34%
Then
Quantity of water used to water the plants = (34/100) * 1513
                                                                     = 514.42 liters
So 514.42 liters of water was used from the barrel to water the plants.
Quantity of water left in the barrel = 1513 - 514.42 liters
                                                      = 998.58 liters
So the quantity of water that is left in the barrel after watering the plants is 998.58 liters.
If you have said in the question that 3/4 of the total quantity of water was used for watering the plants, then the solutions would be as given below
Quantity of water used for watering the plants = (3/4) * 1513 liters
                                                                          = 1134.75 liters
Amount of water left in the barrel after watering the plants = 1513 - 1134.75 liters
                                                                                             = 378.25 liters.
8 0
4 years ago
What is the product of (n -8)(n + 2)?
xenn [34]

Answer:

n2-6n-16

Step-by-step explanation:

n(n+2)-8(n+2)

n2+2n-8n-16=

n2-6n-16

6 0
3 years ago
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