1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alina1380 [7]
3 years ago
13

Indicate the equation of the given line in standard form.

Mathematics
1 answer:
Lorico [155]3 years ago
7 0
We have that
<span>triangle ABC
where
A(-5, 5), B(1, 1), and C(3, 4) are the vertices

using a graph tool
see the attached figure

the hypotenuse is the segment AC

find the equation of the line AC
</span>A(-5, 5) C(3, 4) 
<span>
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=</span>(4-5)/(3+5)-----> m=-1/8

step 2
with C(3,4) and m=-1/8
find the equation of a line
y-y1=m*(x-x1)-----> y-4=(-1/8)*(x-3)----> y=(-1/8)*x+(3/8)+4
y=(-1/8)*x+(3/8)+4----> multiply by 8----> 8y=-x+3+32
8y=-x+35
the standard form is Ax+By=C
so
x+8y=35
A=1
B=8
C=35

the answer is
x+8y=35


You might be interested in
Solve the following problem and show the work. (x - 6)^2 + (y + 1)^2 = 40
Taya2010 [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = \sqrt{40} = 2\sqrt{10}

3 0
3 years ago
Laura is training for a triathlon. One of her workouts requires her to do 3 rounds of each of the
Vanyuwa [196]

Step-by-step explanation:

<h2><em><u>This triathlon distance requires a 2.4 mile swim (3.9K), 112 mile bike (180.2K), and 26.2 mile run (42.2K). Depending on your fitness level, course conditions, and the weather on race day, you can expect to complete these three legs in about 10 to 17 hours.</u></em></h2>
3 0
2 years ago
Read 2 more answers
The old building at the back of the school is badly in need of repair. the company Hsa and the executive are planning to renovat
lisabon 2012 [21]

Answer:

a. If the area of the tiles is greater than or equal to the area of all the rooms.

b. 24

c. 360

Step-by-step explanation:

a. Explain how you would estimate whether Ted has enough tiles to cover all the kitchen floors in the entire apartment building?

Ted would have enough tiles if the  area of the tiles is greater than or equal to the area of all the rooms. Since we have 500 one meter square tiles, we have 500 m² of tiles.

Since the rooms are 6 m long and 4 m wide, the area of each room is 6 m × 4 m = 24 m². Since there are 15 rooms, the area of all the rooms is 15 × 24 m² = 360 m².

Since the area of the tiles = 500 m² is greater than the area of the rooms = 360 m², Ted would have enough tiles to cover all kitchen floors in the entire apartment building.

b. How many tiles, each measuring 1 square meter, are needed to cover one room floor?

Since the area of each room floor is 24 m² and the area of each tile is 1 m², so the number of  1 square meter tiles needed to cover each floor is n = area of floor/area of tile = 24 m²/1 m² = 24.

c. How many tiles are needed to cover all the floors in the entire building?

Since 24 tiles are needed to cover each floor and there are 15 rooms in the building, we would require 24 tiles/room × 15 rooms/building = 360 tiles.

So we require 360 tiles.

4 0
3 years ago
Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in
zepelin [54]

Answer:

  • <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>

<u></u>

  • average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

  • average yearly salary of an individual whose final degree is a masters: x

  • average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

  • the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

        equation (1): x = 2y - 46

  • combined, two people with each of these educational attainments earn $122 thousand:

         equation (2): x + y = 122

3. Solve the system:

  • x = 2y - 46 . . . equation (1)
  • x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

  • 2y - 46 + y = 122

Solve for y:

  • 3y = 122 + 46
  • 3y = 168
  • y = 168 / 3
  • y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

  • x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0
3 years ago
an eagle flew 20 m above sea level.A fish was 35 m vertically below the eagle. find the position of the fish​
ELEN [110]

Answer:

15m below sea level

Step-by-step explanation:

Given data

Distance of eagle from sea= 20m

Distance of fish from eagle = 35m

Required

The distance of the fish from below the sea level

= 35-20

= 15m

Hence the fish is 15m below sea level

3 0
3 years ago
Other questions:
  • Can someone help me with this
    5·2 answers
  • Craig score p point in a game. marla score twice as many point as craig but 5 fewer than nelson score. how man point did nelson
    15·1 answer
  • The area of a playground is 266 yd. The width of the playground is 5 yd longer than its length. Find th
    15·1 answer
  • Find the mean, variance &amp;a standard deviation of the binomial distribution with the given values of n and p.
    12·1 answer
  • Xavier made 25 pounds of roasted almonds for a fair he has 3 and 1/2 pounds left at the end of the fair how many pounds of roast
    14·1 answer
  • Halp PLEASEEEEEEE PUHEASE PUHEASEEEEEE
    12·1 answer
  • Please help quick! last question on my hw.
    12·1 answer
  • PLEASE HELP MEEEEEE PLEASEEEEEEEE!!!!!! IM TIMED
    11·2 answers
  • Question 3 of 10
    12·1 answer
  • What is the area of this triangle?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!