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
Rom4ik [11]
3 years ago
10

The point a(0,5) B(4,2) and C(0,2) form the vertices of a right triangle. What is the equation of the line that form the hypoten

use
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

The required equation of the hypotenuse is 3x + 4y - 20 = 0

<u>Solution:</u>

Given, the points A(0,5), B(4,2), and C(0,2) form the vertices of a right triangle in the coordinate plane.

We are to find the equation of the line that forms the hypotenuse.

Assume the points in the co –ordinate plane, A and C are points on y – axis and B, C are points on a line perpendicular to y – axis. Which means AC and BC are legs of right angle triangle.

Thus, we note that the side AB is the hypotenuse of the triangle ABC.

Slope of a line passing through the points (a, b) and (c, d) is given by:

m=\frac{d-b}{c-a}

\text { So, the slope of } \mathrm{AB} \text { is } \mathrm{m}=\frac{2-5}{4-0}=\frac{-3}{4}

Since the line AB passes through the point A(0, 5),  so its equation in point slope form will be

\begin{array}{l}{y-y_{1}=m\left(x-x_{1}\right)} \\\\ {y-5=\frac{-3}{4}(x-0)} \\\\ {4(y-5)=-3 x}\end{array}

On rearranging terms to get standard form of equation,

3x + 4y -20 = 0

Hence, the required equation of the hypotenuse is found

You might be interested in
a bakery uses 475 pounds of apples to make a thousand apple tarts each tart contains the same amount of apples how many pounds o
nignag [31]
The answer is 0.475 of apples are used in each tart
6 0
3 years ago
Read 2 more answers
-. For each equation below, determine whether
Andre45 [30]

Answer:

Step-by-step explanation:

The first answer a, is not a linear function because of the first term, 2√(x), this is basically 2(x^(1/2)) which means that it is not linear

B is linear because there are no exponents in any of the variables.

C is not linear because it forms a circle when graphed

D is linear because there are no exponents in any of the variables.

E is linear because there are no exponents in angy of the variables.

F is linear because there are no exponents in any of the variables.

G is not linear because it is a quadratic equation.

7 0
3 years ago
Read 2 more answers
All sides of AABC are tangent to circle P.
Oliga [24]

Answer:

Step-by-step explanation:

The perimeter is 58 units long

3 0
3 years ago
Given f(x)=-4x-2 solve for x when f(x)=6
Paladinen [302]

Answer:

-26

Step-by-step explanation:

1. Replace the x with 6

2. Multiply -4 by 6 to get -24

3. Subtract 2 from -24 to get -26

-26 is the answer.

4 0
2 years ago
PLEASE HELP I'M NOT GOOD AT MATH
exis [7]

Answer:

It is a proportional relation.

Step-by-step explanation:

We have given that at Time (hours) = 2, Distance (miles) = 90 and at Time (hours) = 3, Distance (miles) = 135

Therefore, the speed we get from the first two row data = \frac{135 - 90}{3 - 2} = 45 miles/hr.

So, the speed is maintained through out the journey as

At t = 0, Distance = 0

At t = 2 hours, Distance = 2 × 45 = 90 miles

At t = 3 hours, Distance = 3 × 45 = 135 miles

At t = 5 hours, Distance = 5 × 45 = 225 miles

At t = 6 hours, Distance = 6 × 45 = 270 miles

Therefore, the values matches with the table.

Hence, it is a proportional relation. (Answer)

8 0
3 years ago
Other questions:
  • 0.5 kilograms (kg) is equal to how many ounces? Round your answer to the nearest tenth.
    12·2 answers
  • 5x + y = 9<br> 10x − 7y = −18
    14·1 answer
  • Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of $100 in addition
    12·1 answer
  • The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 a
    11·1 answer
  • Can some on help me on this question?
    14·2 answers
  • You won a $100 gift card to purchase music and videos through an online store. You bought $48.40 worth of movies and 40 songs.
    15·1 answer
  • Consider the equations and graph below. Which explains why this system has no solution?
    11·1 answer
  • 8. Expo markers cost $4.99 per pack. There is a 20%
    11·1 answer
  • First problem there are 11
    15·2 answers
  • If quadrilateral abcd is an isosceles trapezoid, which statements must be true? select three options bc ∥ ad bd ⊥ ac ba ≅ cd be
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!