All categories

2 years ago

Write the equation of a line that passes through (3,-2) and (-6, 11) in standard form.

1 answer:

8 0

Y = mx+c

m = 11 - (-2) / -6-(-3) = -13/9

Substitute into equation

11 = -13/9(-6)+C
C = 7/3

y = -13/9x + -13/3 multiply with 9 n you will get

Answer = y = -13x - 39

You might be interested in

. 1. A consistent system of equations is a system with __________.. . the same line. . parallel lines. . intersecting lines and

madreJ [45]

A consistent system of equations is a system with intersecting lines and lines that have the same equation.

A consistent system is the system of equations with at least one solution or infinite number of solutions.

So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.

The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"

If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.

3 0

3 years ago

Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number

liberstina [14]

Answer:

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

Step-by-step explanation:

From the first equation:

$20x - 80y = 100$

$20x = 100 + 80y$

$x = \frac{100 + 80y}{20}$

$x = 5 + 4y$

Replacing on the second equation:

$-14x + 56y = -70$

$-14(5 + 4y) + 56y = -70$

$-70 - 56y + 56y = -70$

$0 = 0$

This means that the system has an infinite number of solutions, considering:

$x = 5 + 4y$

$4y = x - 5$

$y = \frac{x - 5}{4}$

The system has an infinite set of solutions $(x,y) = (x, \frac{x-5}{4})$

8 0

2 years ago

A cube is cut into two pieces by a single slice that passes through the points A, B, and C.

masha68 [24]

I believe it’s a trapezoid but i’m not too sure... sorry :((

5 0

2 years ago

Read 2 more answers

From end zone to end zone, a football field is 120 yards long. How long is the

timofeeve [1]

Answer:

120x3 = 360

Step-by-step explanation:

4 0

2 years ago

Your neighbor has decided to enlarge his garden. The garden is rectangular with width 6 feet and length 15 feet. The new garden

Nana76 [90]

Answer:

Original garden: 42 feet

Enlarged garden: 98 feet

Step-by-step explanation:

Perimeter = length (2) + width (2)

<u>Original perimeter:</u>

P = 15(2) + 6(2)

P = 30 + 12

P = 42 feet

In this problem, similar is proportional, so the new garden will be proportional to the old one.

If the original length was 15 and the new length is 35, then 15 would have had to have been multiplied by 2 1/3. That means you need to multiply 6 by 2 1/3, which is 14. That means the dimensions of the enlarged yard is 14 (width) × 35 (length).

<u>Enlarged perimeter</u>

P = 35(2) + 14(2)

P = 70 + 28

P = 98 feet

4 0

3 years ago