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2 years ago

Which of the following is a true statement?

Mathematics

1 answer:

DochEvi [55]2 years ago

3 0

A is the correct answer

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PLEASE HELP

poizon [28]

Part A
The given line passes through (-2,2) and it is parallel to the line

$4x - 3y - 7 = 0$

We need to determine the slope of this line by writing it in slope -intercept form.

$3y = 4x - 7$

$y = \frac{4}{3} x - \frac{7}{3}$
The slope of this line is
$\frac{4}{3}$

The line parallel to this line also has slope

$m = \frac{4}{3}$

The equation is

$y = \frac{4}{3} x + c$

We substitute (-2,2)

$2 = \frac{4}{3}( - 2) + c$

$c = 2 + \frac{8}{3} = \frac{14}{3}$

The required equation is

$y = \frac{4}{3} x + \frac{14}{3}$

PART B

The given line is

$4x - 3y - 7 = 0$

The slope of this line is
$\frac{4}{3}$

The slope of the line perpendicular to it is

$m = - \frac{3}{4}$

The equation of the line is

$y = - \frac{ 3}{4} x + c$

We substitute the point, (-2,2)

$2= - \frac{ 3}{4} ( - 2) + c$

$2= \frac{ 3}{2} + c$

$c = 2 - \frac{3}{2} = \frac{1}{2}$

The equation of the perpendicular line is

$y= - \frac{ 3}{4} x + \frac{1}{2}$

6 0

3 years ago

There are 125 people in a sport centre.

Maurinko [17]

Answer: 97/125

Step-by-step explanation:

4 0

3 years ago

find the slope and y intercept for the following equation by writing it in the form y=mx+b -8x+y=5 someone help please

vichka [17]

Answer:

slope = 8, y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

- 8x + y = 5 ( add 8x to both sides )

y = 8x + 5 ← in slope- intercept form

with slope m = 8 and y- intercept c = 5

8 0

3 years ago

Read 2 more answers

A juggler perform in a telant contest. He is given 10 marks by each of the 4 judges. What’s his total score?

Mars2501 [29]

Answer:

Step-by-step explanation:

The answer is 40. There are 4 judges, and each gave him a 10. This can be shown by an equation.

1. 4 * 10 = total score

2. 40 = total score.

Hope this helps! (Please consider giving brainliest)

6 0

3 years ago

Read 2 more answers

What percentage of students under age 15 travel to school by car? Round to the nearest whole percent. 11% 18% 41% 80%

bixtya [17]

Answer:

11%

Step-by-step explanation:

We need to fill the missing cells of the table first and are interested in first row for under age 15

1. 152- 65= 87 for the top left cell

2. 165- (87+60)= 18 for car column on same row

now we have number 18 and the total of the first row is 165:

18/165*100%= 10.9%

So the first choice- 11% is the answer

3 0

3 years ago