All categories

3 years ago

line L passes through point (2, -5) and is perpendicular to the line with equation y=7. determine the equation of line L

Mathematics

1 answer:

Andrew [12]3 years ago

7 0

Answer:

The equation of the line L is $x=2$

Step-by-step explanation:

we know that

The line y=7

Is a horizontal line (parallel line to the x-axis)

The slope of a horizontal line is equal to zero

A line L perpendicular to the given line must be a vertical line (parallel to the y-axis)

The slope of the line L is undefined

The line L passes through the point (2,-5)

therefore

The equation of the line L will be equal to the x-coordinate of the given point

$x=2$

You might be interested in

Angle x and angle y are complementary. Angle x is supplementary to a 128 degrees angel. What are the measures of angle x and y

Irina18 [472]

Answer: x is 52 and y is 38.

Step-by-step explanation:

x+128=180

x=52

52+y=90

y=38

5 0

3 years ago

Read 2 more answers

Hi.

NeX [460]

Answer:

(a)

1 sig: 0.005

2 sig: 0.0048

3 sig: 0.00482

(b)

1 sig: 50

2 sig: 50.

3 sig: 50.0

(c)

1 sig: 0.0010

2 sig: 0.00098

3 sig: 0.000981

Step-by-step explanation:

Significant Figures Rules:

Any non-zero digit is significant.
Any trailing zeros after the decimal is significant.
Any zeros between 2 significant digits are significant.
Zeroes before significant numbers in the decimal place are NOT significant; they are placeholders.

(a)

0.004816 - the zeros are placeholders, so they do not count as sig figs.

(b)

50.00168 - the zeros are between 2 significant figures, so they do count as sig figs.

(c)

0.0009812 - the zeros are placeholders, so they do not count as sig figs

5 0

3 years ago

Which expression is a factor of 3xy + 2x − 18y − 12?

trapecia [35]

X(3y+2)-6(3y+2)
(x-6)(3y+2)
so the answer is 2+3y

6 0

3 years ago

Read 2 more answers

While on a business trip to Kensington, Vivian treated her co-workers to a meal that cost

Dafna11 [192]

$91 because 10% of 70 is $7 and 20% of 70 is $14 so 7+14+70= $91

7 0

3 years ago

Find the area of the circle to find the nearest whole number. Use 3.14 or 22/7 for ip

sertanlavr [38]

Answer:

You didn't provide the complete question as the radius or diameter of the circle isn't given. Please check the explanation below to see how to approach such questions.

Step-by-step explanation:

Area of a circle has a formula and it is given as:

Area = $\pi r^{2}$

where $\pi$ is a constant and has a value of 3.14 or 22/7,

r is the radius of the circle (i.e the line drawn from the center of the circle to any point on the circle).

radius, r = diameter/2.

Example 1: Find the area of a circle with radius 7meters (7m) and correct to the nearest whole number. Use 3.14 or 22/7 for pi.

Solution:

$Area = \pi r^{2} = \frac{22}{7} (7^{2})\\\\ Area = \frac{22}{7} (7)(7) = 22(7)\\\\ Area = 154squaremeters = 154m^{2}\\$

NB: The unit of area is always in square units. In our case square meters

Example 2: Find the area of a circle with diameter 7feet(7ft). Use 3.14 or 22/7 for pi.

Solution:

$Area = \pi r^{2}$

But we were given the diameter not the radius.

Remember that I earlier said that radius, r = diameter/2 = $\frac{7}{2}ft$

$Area = \frac{22}{7}(\frac{7}{2} )^{2} = \frac{22}{7} (\frac{7}{2} )(\frac{7}{2} )$

$Area = \frac{11(7)}{2} = \frac{77}{2} \\\\ Area = 36.5ft^{2}$

So, if you have questions that ask for area, ensure you have the radius and if the diameter is given instead of the radius, carry out the neccessary calculation i.e. Diameter/2 to obtain the radius and use the area formula.

6 0

3 years ago