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hjlf
1 year ago
13

Line l passes through point (3,−26) and line p is the graph of y−3=−5(x−2) .

Mathematics
1 answer:
uranmaximum [27]1 year ago
3 0

Considering the definition of parallel line, the equation of line l is y= -5x -11.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Parallel line</h3>

Parallel lines are two lines that are always at the same distance from each other.

Two lines are parallel if they have the same slope and different y-intercepts. This is, they have the same value of m and different value of b.

<h3>Equation of parallel line in this case</h3>

In this case, the line is y−3=−5(x−2) Expressed in the form y = mx + b, you get:

y−3=−5x−2×(-5)

y−3=−5x+ 10

y=−5x+ 10 + 3

<u><em>y=  -5x +13</em></u>

where:

  • the slope is -5.
  • the y-intercept is 13.

Two lines are parallel if they have the same slope. So, the parallel line has a slope of -5 and has a form of: y= -5x + b

The line passes through the point (3, -26). Replacing in the expression for parallel line:

-26= -5× 3 + b

-26= -15 + b

-26 + 15 = b

<u><em>-11 = b</em></u>

Finally, the equation of parallel line is y= -5x -11.

Learn more about parallel line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

#SPJ1

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Answer:

her balance in August is $70

Step-by-step explanation:

First, calculate her balance after the deposit in June:

150 + 25

= 175

Then, calculate her balance after July's withdrawl:

175 - 105

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So, her balance in August is $70

7 0
3 years ago
Read 2 more answers
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

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12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

1/3 * π * r^2 * h

= 1/3 * π * 5^2 * 12

= 100 π inches^3

4 0
2 years ago
use the guide to construct a two column proof proving △aec≅△deb, given that ca is parallel to db and e is the midpoint of ad. gi
MrMuchimi

By using the AAA congruence property of Triangles, △aec≅△deb is proved

It is given two triangles, Δaec and Δdeb, where e is the common point known as the midpoint of ad

Also, it is given that,

ca ║db

We need to prove that, △aec≅△deb

Then we'll use AAA congruence property of Triangles to prove the situation

As ca ║db

then, ∠cae = ∠ebd  (Alternate angles)

∠ace = ∠edb (Alternate angles)

and ∠aec = ∠deb (common angles)

Thus, by AAA congruence property, △aec≅△deb

Hence, proved

To learn more about, congruence property, here

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5 0
1 year ago
Can someone help please and thank you.
natita [175]

5)

Equilateral triangle, all sides are equal

So 2x + 5 = 11

2x = 6

x = 3

Answer is the first one

3; Equilateral theorem


6)

Isosceles triangle has at least two congruent sides.

So 6x = 24

x = 4

Answer x = 4

Converse of the Base Angle Theorem


7)

5x + 7 = 52

5x = 45

 x = 9

Answer

x = 9

Base angle theorem


8)

5y - 14 = 3y

2y = 14

 y = 7

Answer

7; Equiangular theorem


4 0
3 years ago
Alisa hopes to play beach volleyball in the olympics someday. She has convinced her parents to allow her to set up a beach volle
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