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2 years ago

Graph the linear equation. 3x-4y=12 Thanks

Mathematics

2 answers:

Assoli18 [71]2 years ago

8 0

Answer with Step-by-step explanation:

we have to graph the linear equation:

3x-4y=12

Let x=0

then, -4y=12

i.e. y= -3

Hence, line passes through (0, -3)

Now, letting y=0 then, 3x=12

i.e. x=4

Hence, line passes through (4,0)

Plotting these points on the graph and joining these points, we get the following graph

WITCHER [35]2 years ago

6 0

Hi
You can choose to points (x,y) which solve the equation, like (0,-3) and (4,0) and then draw a line through the points.

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Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

slega [8]

Answers:

Line A is parallel to line D.

Line A is perpendicular to line C.

Line C is perpendicular to line D.

=====================================================

Explanation:

Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)

$(x_1,y_1) = (-1,-17) \text{ and } (x_2,y_2) = (3,11)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{11 - (-17)}{3 - (-1)}\\\\m = \frac{11 + 17}{3 + 1}\\\\m = \frac{28}{4}\\\\m = 7\\\\$

The slope of line A is 7

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

Now let's find the slope of line B.

$(x_1,y_1) = (0,4) \text{ and } (x_2,y_2) = (7,-5)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-5 - 4}{7 - 0}\\\\m = -\frac{9}{7}\\\\$

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

Now onto line C.

$(x_1,y_1) = (7,1) \text{ and } (x_2,y_2) = (0,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 1}{0 - 7}\\\\m = \frac{1}{-7}\\\\m = -\frac{1}{7}\\\\$

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

Lastly we have line D.

$(x_1,y_1) = (-1,-6) \text{ and } (x_2,y_2) = (1,8)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{8 - (-6)}{1 - (-1)}\\\\m = \frac{8 + 6}{1 + 1}\\\\m = \frac{14}{2}\\\\m = 7\\\\$

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

Here's a summary of the slopes we found

$\begin{array}{|c|c|} \cline{1-2}\text{Line} & \text{Slope}\\\cline{1-2}\text{A} & 7\\\cline{1-2}\text{B} & -9/7\\\cline{1-2}\text{C} & -1/7\\\cline{1-2}\text{D} & 7\\\cline{1-2}\end{array}$

Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.

Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.

Lines C and D are perpendicular for the same reasoning as the previous paragraph.

Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.

You can use a graphing tool like Desmos or GeoGebra to verify these answers.

6 0

10 months ago

Plsss anybody help no links more files they are viruses

mr_godi [17]

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

8 0

2 years ago

Read 2 more answers

jim is planning a party. he spends $150 on a room for the party. he also spends $16.50 per person for food. jim finds the total

meriva

$577.50is the amount he paid.

8 0

2 years ago

Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?

Stells [14]

First, you need to get to one gallon, which is 37.20 divided by 12. (3.1)
Divide that number by four, which is: 0.775, or 0.78 rounded up to the nearest hundredth.
Hope that helped.

7 0

3 years ago

Read 2 more answers

A farmer harvested some of his pecan crops on Friday and Saturday.what fraction of the pecan crop was harvested in two days

Sloan [31]

Answer:

Hence the 3.28 %or 2/61 of total work will be done .

Step-by-step explanation:

Given:

The pecan crops are harvested for friday and saturday (2days)

To find :

What fraction these 2 days corresponds to the harvesting days?

Solution;

The pecan crops are growing in America in state of Georgia

and consider that in months of October and November pecan crop becomes mature .

Hence the harvesting period is of 2 months considerably .

The month of October and November days are 31 and 30 .

Hence the Total days of harvesting are 61 days.

In these days total Pecan crops will be harvested.(100% work in 61 days)

Now the farmer harvest for 2 days only .

Required fraction=2/61

=0.0327869

=3.28%

Depending upon the crop field and planting answer will vary

But 3.28 % of total work will be done in 2 days on harvesting

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2 years ago