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bija089 [108]
3 years ago
8

Find an equation of a line that is parallel to 2x+3y=6 and passes through the point (4, 4)

Mathematics
2 answers:
wariber [46]3 years ago
7 0

Answer:

Answer:

Step-by-step explanation:

Slope of a line 2x+3y=6 is -2/3

So line passing through (0,4) has same slope because both are parallel

From slope intercept form we have

Y-y1 =m(x-1)

Y-4= -2/3(x-0)

3Y-12 = -2x

3Y+2x = 12

Which is required equation of a line.

Step-by-step explanation:

Colt1911 [192]3 years ago
6 0

Answer:

y = -2/3x + 20/3

Step-by-step explanation:

2x + 3y = 6

3y = -2x + 6

y = -2/3x + 2

y = -2/3x + b

4 = -2/3(4) + b

4 = -8/3 + b

20/3 = b

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3 0
3 years ago
Bo and Erica are yoga instructors. Between the two of them, they teach 45 yoga classes each week. If Erica teaches 15 fewer than
Solnce55 [7]

Answer:

20 and 25.

Step-by-step explanation:

Given:

They both teach total 45 yoga classes each week.

Erica teaches 15 fewer than twice as many as Bo.

To find:

How many classes does each instructor teach per week  = ?

Solution:

Let number of classes are taken by Bo = x

Then number of classes are taken by Erica = 2x - 15  (given)

Total number of classes are taken by both = 45           (given)

According to the question.

x + 2x - 15 = 45

3x - 15 = 45

By adding both side by 15

3x = 60\\

By dividing both side by 3

x = 20

number of classes are taken by Bo = x = 20

number of classes are taken by Erica = 2x - 15

                                                               = 2\times20 - 15 = 40- 15 = 25\\

Therefore, number of classes are taken by Bo and  Erica is 20 and 25.

6 0
3 years ago
Help, i just need the answers and no need for explanations.
maria [59]

Answer:

The equation of the quadratic function shown is;

x^2+ 2x -3

Step-by-step explanation:

Here in this question, we need to know the quadratic equation whose graph was shown.

The key to answering this lies in knowing the roots of the equation.

The roots of the equation are the solution to the quadratic equation and can be seen from the graph at the point where the quadratic equation crosses the x-axis.

The graph crosses the x-axis at two points.

These are at the points x = -3 and x = 1

So what we have are;

x + 3 and x -1

Multiplying both will give us the quadratic equation we are looking for.

(x + 3)(x-1) = x(x -1) + 3(x-1)

= x^2 -x + 3x -3 = x^2 + 2x -3

3 0
3 years ago
What are the lengths of DE and EF. Answer with supporting work:
nataly862011 [7]
The length of DE is 39 and the length of EF is 36 because we can see from side AC and DF that triangle DEF is just triangle ABC dilated by 3.
5 0
3 years ago
One of the events at the circus starred Gabriella the Human Cannonball. On Saturday she performed in four shows. Shot from a can
34kurt
Answer: 59.49 meters
In this case, Gabriella flew 4 times with different distance. To answer this question you just need to add all the distance, The calculation would be:

Total distance = distance 1 + distance 2 + distance 3 + distance 4
Total distance = 8.05 meters+ 17.71 meters + 14.38 meters + 19.35 meters= 59.49 meters.
3 0
3 years ago
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