All categories

2 years ago

Match the equation with its graph 15x -12y=60

Mathematics

1 answer:

IgorLugansk [536]2 years ago

6 0

Answer:

Check the attached graph for correct match.

Step-by-step explanation:

Graph of the given choices are not given but we can still solve this problem.

Given equation is 15x-12y=60.

Which is linear equation so we need at least two points to get the graph.

We are free to select any random number of x then plug that into given equation to find other variable.

Let's use x=0

15x-12y=60

15*0-12y=60

0-12y=60

-12y=60

divide both sides by -12

y=-5

Hence point is (0,-5)

Similarly plug y=0

15x-12y=60

15x-12*0=60

15x-0=60

15x=60

divide both sides by 15

x=4

Hence point is (4,0)

Now graph both points then join them by a straight line.

Any graph given in the choices which match with attached graph will be the answer.

Check the attached graph for correct match.

You might be interested in

20. What do you think would happen to the variability (standard deviation) of the distribution of sample proportions if the samp

Naya [18.7K]

Answer:

Step-by-step explanation:

Sample proportion p is the proportion of favourable numbers to total number in the sample

By central limit theorem and also approximation of binomial to normal , we have sample proportion for large number of samples will be normal

with mean = sample proportion

and std deviation = $\sqrt{\frac{pq}{n} }$

Thus we find standard deviation of proportion sample is inversely proportional to the square of the sample size n.

It follows automatically that as sample size increases std deviation decreases.

Here from 80 sample size was made to 200

So std deviation would decrease automatically

4 0

2 years ago

Find x(3x+72) triangle

Alinara [238K]

Answer: x = -4 ; Angle = 60°

Concept:

The given figure is a triangle with 3 arc signs on each angle. This arc sign stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.

Solve:

Given information

An angle = 3x + 72

Total measure of angles = 180 (triangle angle sum theorem)

Total number of congruent angles = 3

Given expression

Total measure = Total number of congruent angles × An angle measure

Substitute values into the expression

180 = 3 (3x + 72)

Divide 3 on both sides

180 / 3 = 3 (3x + 72) / 3

60 = 3x + 72

Subtract 72 on both sides

60 - 72 = 3x + 72 - 72

-12 = 3x

Divide 3 on both sides

-12 / 3 = 3x / 3

$\boxed{x=-4}$

Find the angle measure

3x + 72 = 3 (-4) + 72 = $\boxed{60}$

Hope this helps!! :)

Please let me know if you have any questions

6 0

2 years ago

Read 2 more answers

John does 96 pushups and 4 days how many pushups does he do in one day

Vsevolod [243]

96 divided amongst 4 days, 96 divided by 4 is 24.

4 0

3 years ago

Read 2 more answers

What is 12.346 as a fraction?

puteri [66]

Answer:

6173/500

Step-by-step explanation:

12.346 as a fraction:

Move the decimal over a power of 10:

12.346 → 6173/500

6173/500

Hope you learned from this answer!

6 0

3 years ago

Read 2 more answers

Which of the following is true?

Dahasolnce [82]

Answer:

the right ones are a c and d maybe

Step-by-step explanation:

these are probably wrong but I need my points so figure it out.

3 0

2 years ago