All categories

3 years ago

Through: (1, 2), parallel to y=-3x - 3

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Step-by-step explanation:

The slope-intercept form of an equation of a line is y = m x + c, where

m is the slope of the line and c is the y-intercept

→ Parallel lines have same slopes

→ Parallel lines have different y-intercepts

∵ The equation of a line is y = -3 x - 3

∵ The slope-intercept form of the equation of a line is y = m x + c

∴ m = -3

Let us write the equation of a line that parallel to the line y = -3 x - 3

∵ Parallel lines have same slopes

∵ The slope of the line above = -3

∴ The slope of the line = -3

∴ The equation of the line is y = -3 x + c

To find c substitute x and y in the equation by the coordinates of a

point lies on the line

∵ The line passes through the point (1 , 2)

- substitute x by 1 and y by 2 in the equation

∴ 2 = -3(1) + c

∴ 2 = -3 + c

- Add 3 to both sides

∴ 5 = c

- substitute the value of c in the equation

∴ The equation of the line is y = -3 x + 5

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Learn more:

You can learn more about parallel lines in brainly.com/question/10483199

#Learnwithbrainly

You might be interested in

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

Pls find the blank space. <br><br>the first answer will get marked brainliest

True [87]

Step 1

Anything divided by one gives itself.

\frac{1}{8}=-8\text{ and }\frac{-8}{1}=\frac{-12}{48}

=−8 and

−8

−12

Step 2

Convert -8−8 to fraction -\frac{64}{8}−

\frac{1}{8}=-\frac{64}{8}\text{ and }\frac{-8}{1}=\frac{-12}{48}

=−

and

−8

−12

Step 3

Compare \frac{1}{8}

and -\frac{64}{8}−

\text{false}\text{ and }\frac{-8}{1}=\frac{-12}{48}false and

−8

−12

Step 4

Anything divided by one gives itself.

\text{false}\text{ and }-8=\frac{-12}{48}false and −8=

−12

Step 5

Reduce the fraction \frac{-12}{48}

−12

to lowest terms by extracting and canceling out 1212.

\text{false}\text{ and }-8=-\frac{1}{4}false and −8=−

Step 6

Convert -8−8 to fraction -\frac{32}{4}−

\text{false}\text{ and }-\frac{32}{4}=-\frac{1}{4}false and −

=−

Step 7

Compare -\frac{32}{4}−

and -\frac{1}{4}−

\text{false}\text{ and }\text{false}false and false

Step 8

The conjunction of \text{false}false and \text{false}false is \text{false}false.

\text{false}false

Hint

Do the arithmetic.

Solution

\text{false}false

4 0

2 years ago

Read 2 more answers

Which integer is closest to 0 on the number line?

Elenna [48]

The answer is C, 1.
In a number line, the larger number it gets, the more of the right side they're. The smaller the number, the more left side they get.
So, on a number line, 1 is just at the right side of 0, all the other options are at least one more place away from 0.

7 0

3 years ago

Read 2 more answers

A park is rectangular with a length of 12 miles. If the area of the park is 68 square miles, what is its width? Input your answe

Veronika [31]

Answer:

17/3

Step-by-step explanation:

to find out the width, we need to divide the area by the length.

68/12=5.666666667

fraction form: 17/3 (5 2/3)

4 0

2 years ago

In a triangle, two angles have measures of 45 degrees and 85 degrees. What is the measure of the third angle in this triangle?

Blizzard [7]

Answer:

50 degrees

Step-by-step explanation:

All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.

45+85=130. Then, subtract 130 from the total, or 180. 180-130=50. The measure of the third angle of the triangle is 50 degrees.

5 0

3 years ago

Through: (1, 2), parallel to y=-3x - 3​

Through: (1, 2), parallel to y=-3x - 3