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3 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

Mathematics

2 answers:

hoa [83]3 years ago

8 0

Answer:

-10

Step-by-step explanation:

ira [324]3 years ago

7 0

For a system of equations to have infinitely many solutions, the equations have to be lineary dependent, (i.e. one of the equations is a multiple of the other equation). For the given equation to have infinitely many solutions, the second equation have to be a multiple of the first equation. The first equation can be rewritten as y - 2x = -5 The second equation is the first equation multiplied by 2, i.e. 2(y - 2x= -5) = 2y - 4x = -10 Therefore, the correct answer is -10 (option a).

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What is (32 thousands 1 hundred) ×10

Nookie1986 [14]

It is 321,000 there is your answer

8 0

3 years ago

Select all the equations where z=5z=5z, equals, 5 is a solution.

Serhud [2]

Answer:

A, D and E

Step-by-step explanation:

$8 = z + 3$

Subtract 3 from both sides

$8 -3 = z + 3-3$

$5 = z$

$z = 5$

$z - 1 = 6$

Add 1 to both sides

$z - 1+1 = 6 + 1$

$z = 7$

$20 = \frac{40}{z}$

Multiply through by z

$z * 20 = \frac{40}{z} * z$

$20z = 40$

Divide through by 20

$\frac{20z}{20} = \frac{40}{20}$

$z = 2$

$12z = 60$

Divide through by 12

$z = 60/12$

$z = 5$

$12 + z = 17$

Subtract 12 from both sides

$-12 + 12 + z = 17 - 12$

$z = 5$

Hence:

A, D and E answers the question

8 0

3 years ago

1. SPOTLIGHTS Ship A has coordinates (–1, –2) and Ship B has coordinates (–4, 1). Both ships have their spotlights fixated on th

Alexeev081 [22]

Answer:

( 5 , 10 )

Step-by-step explanation:

Solution:-

- There are two ships, A and B, currently located by their respective coordinates in the cartesian coordinate system:

Position of ship A: ( - 1 , -2 )

Position of ship B: ( -4 , 1 )

- Both ships try to locate a lifeboat. The spotlights used by each ship are modelled as straight line functions of cartesian coordinate originating from their respective ships.

- Spot lights for each ship were able to locate the same lifeboat. The respective spotlights are modelled by the following functions:

Spotlight Ship A: y = 2x

Spotlight Ship B: y = x + 5

- To locate the position of the lifeboat with respect to the origin ( 0 , 0 ) we will use the spotlight model functions and equate them. This is because the spotlights must converge or meet at the position of lifeboat provided the lifeboat is found by both ships.

- Therefore,

Spotlight A = Spotlight B

y = 2x = x + 5

2x = x + 5

x = 5 , y = 10

Answer: The two spotlight meet at the coordinates ( 5 , 10 ). This is also the position of the lifeboat located by both the ships.

7 0

3 years ago

Determine the value of X. 30 POINTS

const2013 [10]

you can use the value of sin\

sin(theta) = 12/16

Now solve for theta, and do inverse sine

so theta would be 48.59037789 , or around 50 degrees

6 0

3 years ago

Read 2 more answers

A salesperson gets a 3% commission on the sale of a copy machine. What is his commission on a copy machine that costs $4,950.00?

kondor19780726 [428]

4,950×3=1650
1650÷100=16.5
his commission is $16.5

7 0

3 years ago