Given n//m <br>prove m and 3 = m angle 5

For each ordered pair, determine whether it is a solution to the system of equations.

-Dominant- [34]

The only ordered pair that is a solution to the given system of equations is (-2, -6)

<h3>System of Linear Equations </h3>

From the question, we are to determine if each ordered pair is a solution to the given system of equations

The given system of equations is

-9x + 2y = 6

5x - 3y = 8

For (7, 9)

That is,

x = 7, y = 9

Putting the values into the first equation

Is -9(7) + 2(9) = 6

-63 + 18 = 6

-45 ≠ 6

Thus, (7,9) is not a solution

For (0, 3)

That is,

x = 0, y = 3

Putting the values into the first equation

Is -9(0) + 2(3) = 6

0 + 6 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(0) - 3(3) = 8

0 - 9 = 8

-9 ≠ 8

Thus, (0, 3) is not a solution

For (5, -4)

That is,

x = 5, y = -4

Putting the values into the first equation

Is -9(5) + 2(-4) = 6

-45 - 8 = 6

-53 ≠ 6

Thus, (-5,4) is not a solution

For (-2, -6)

That is,

x = -2, y = -6

Putting the values into the first equation

Is -9(-2) + 2(-6) = 6

18 - 12 = 6

6 = 6

The ordered pair satisfies the first equation

Testing for the second equation

Is 5(-2) -3(-6) = 8

-10 + 18 = 8

8 = 8

The ordered pair satisfies the second equation

∴ The ordered pair that is a solution to the system of equations is (-2, -6)

Hence, the only ordered pair that is a solution to the given system of equations is (-2, -6)

Learn more on System of equations here: brainly.com/question/8630769

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3 0

9 months ago

Julie decided to grow a plant from a seed. She measured the height of her plant each day for 30 days.

k0ka [10]

The given formula is f(t) = 0.4t

They want to solve for f(10), replace t in the formula with 10"

f(10) = 0.4(10)

Multiply:

f(10) = 4 centimeters.

4 0

3 years ago

Please help and thank you.

Marina CMI [18]

Answer:

4.

400 ft elevation at 1 km and 3 km from the start
300 ft/km average rate of change over the first 4 km

5.

length = 3.5 cm
width = 3.5 cm
height = 7.0 cm

6.

6 mo: $1018.14
5 yrs: $1196.89
avg incr: $3.28 per month

Step-by-step explanation:

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

= (19 -7)/4 hundred feet/km

= 12/4 hundred feet/km = 300 ft/km

___

You want to find x when ...

A(x) = 122.5 cm²

10x² = 122.5 cm² . . . . substitute the given expression for A(x)

x² = 12.25 cm² . . . . . . divide by 10

x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

length = width = x = 3.5 cm

height = 2x = 7.0 cm

___

Evaluate the given expression for the different values of m:

$1000·1.003^6 ≈ $1018.14 . . . . 6-month value

$1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

$196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

8 0

3 years ago

What is the range of h (x)

Svet_ta [14]

The range of the function is the set of all possible outputs, that is, the set of all values obtained by applying the function to elements of the domain. So the set of all values which can be obtained by applying h(x) to an element of its domain is {−4,0,5,60} , and thus that is the range of h(x) .

6 0

3 years ago

Which ordered pair is in the solution set of the system of linear inequalities graphed below?

motikmotik

Answer:

Graphed?

Step-by-step explanation:

5 0

3 years ago

Given n//m prove m and 3 = m angle 5 ​

Given n//m prove m and 3 = m angle 5