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3 years ago

Find the equation of the line parallel to 2y-3x= 4 and passing through the point (6,7)

Mathematics

1 answer:

frutty [35]3 years ago

7 0

Answer:

We have equation of a line:

2y - 3x = 4 => y = (3/2)x + 4

The equation of the line that is parallel to above line and passes through the point (6, 7) would have form y = ax + b, and

a = 3/2

6a + b = 7

=> b = 7 - 6a = 7 - 6 x 3/2 = 7 - 9 = -2

=> The equation of that line: y = (3/2)x - 2

Hope this helps!

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List all the pairs of integers with a product of 36. then find the pair whose sum is 20

RoseWind [281]

This is an excellent practice for the solution of quadratic equations.

1*36=36 => (1,36)
2*18=36 => (2,18)
3*12=36 => (3,12)
4*9=36 => (4,9)
6*6=36 => (6,6)
9*4=36 => (9,4)
12*3=36 => (12,3)
18*2=36 => (18,2)
36*1=36 => (36,1)

We can see that the sum decreases until the two factors are close (or equal) and then increases again.

The pair of integers with a sum of 20 is therefore (2,18) or (18,2).

4 0

3 years ago

Read 2 more answers

Mario must reduce the use of his home's electricity. His home currently consumes 28 kwh of electricity per day, and Mario must r

kolbaska11 [484]

I don’t know I think it 2

8 0

3 years ago

What is the range of a cosine function?

klemol [59]

The smallest y can be is y = -1. The largest it can be is y = 1. The value of y can be anything in between. The value of y is a real number.

Answer: Choice D) All real numbers between -1 and 1 including -1 and 1

Note: we can write that as $-1 \le y \le 1$ which in interval notation would look like $[-1, 1]$ . The square brackets tell us to include the endpoints.

4 0

2 years ago

Find the coordinates of a point that divides the directed line segment XY in the ratio 2:6. answers: A) (3, 5) B) (–1, –3) C) (0

Stells [14]

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = $\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}$

= - $\frac{16}{8}$

= -2

and y = $\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}$

= $-\frac{40}{8}$

= -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.

4 0

3 years ago

Is 2/6 equivalent to 20%

anastassius [24]

Answer:

2/6 is NOT equivalent to 20%

Step-by-step explanation:

2/6 is NOT equivalent to 20%

Reason :

To convert 2/6 to percentage

Multiply 2/6 by 100

That is ,

= 2/6 × 100 %

= 1/3 × 100 %

= 100/3 %

= 33.33%

33.33% is not same as 20%. Therefore 2/6 is not equivalent to 20%

I hope this was helpful, please mark as brainliest

8 0

3 years ago