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
dmitriy555 [2]
1 year ago
14

The diagram shows a straight line ABCD.

Mathematics
2 answers:
stealth61 [152]1 year ago
5 0

Difference:

x values

260 + 620 = 880

y values

480 + 180 = 660

Gradient = change in y/ change in x

Or

gradient = rise/run

= 660/880

= 3/4

= 0.75

We've got a negative slope - gradient must be negative

y = mx + c

y = - 0.75x + c

To find the y-intercept (c), which on the diagram is point B - you substitute one of the coordinates into the equation y = - 0.75x + c.

You use - point A or D - it don't matter which

I'll pick D - (620,−180)

y= -0.75x + c

-180 = - 0.75 x 620 + c

-180 = - 465 + c

+465

285= c

Thus, the equation is:

y = - 0.75x + 285

or

y = - 3/4x + 285

Where point B is (0,285) and C is (380,0)

To find:

B substitute x = 0 into the equation

(y= - 3/4 x 0 + 285)

C substitute y = 0 in the equation

0 = - 3/4x + 285

-285

- 285 = - 0.75x

÷ - 0.75

380 = x

( I converted 3/4 to 0.75 to make things clearer)

Hope this helps!

Nady [450]1 year ago
4 0

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = \frac{-180-480}{620-(-260)} = \frac{-660}{620+260} = \frac{-660}{880} = - \frac{66}{88} = - 0.75 , then

y = - 0.75x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

You might be interested in
Kelly earned $20 for babysitting. She has also earned money by doing chores for 5 weeks. Altogether, she has earned $100. How mu
NikAS [45]

Answer:  16

Step-by-step explanation:

i did the math trust me

3 0
2 years ago
Read 2 more answers
A business owner noted the features of the 100 cars parked at the business. Here are the results:
AlexFokin [52]

Complete Question

The complete question is shown on the first uploaded image  

Answer:

The probability is  P(4 \ doors | sunroof ) =  0.40

Step-by-step explanation:

 From the question we are told that

        The number of cars packed is  n = 100

The objective of this solution is to find the probability that the car which has a sunroof also has four doors

   This probability is mathematically represented as

               P(4 \ doors | sunroof )

Baye's Rule define this probability mathematically  as

             P(4 \ doors | sunroof ) =  \frac{P(4 \ doors \ n \ sunroof )}{P(sunroof)}

   From the diagram

          P(4 \ doors \ n \ sunroof ) =  20

and     P(sunroof) =  50

So

      P(4 \ doors | sunroof ) =  \frac{20}{50}

      P(4 \ doors | sunroof ) =  0.40

       

3 0
3 years ago
I need help with algebra2 ​
ollegr [7]

Answer:

Step-by-step explanation:

sure i am here to help always for

3 0
2 years ago
Read 2 more answers
Name the property the equation illustrates.
vodomira [7]
Commutative Property of Addition
4 0
2 years ago
Read 2 more answers
Pls help, and hurry. i will give anyone brainliest if you give the correct answer.
Anna11 [10]

Answer:

Two answers:

22 ≥ v

OR

v ≤ 22

Step-by-step explanation:

It's the same as solving for a variable in an equality. Imagine it as 17 = v - 5 for a moment. Simplify by subtracting 5 from both sides and re-add the inequality sign. This can be easily done since we are not multiplying or dividing, just adding and subtracting.

4 0
3 years ago
Other questions:
  • John says the transformation rule (x, y) es002-1.jpg (x + 4, y + 7) can be used to describe the slide of the pre-image (4, 5) to
    9·2 answers
  • What is the length of the radius in circle C? 3 4 5
    12·1 answer
  • (7+x)+7x=? equivalent expressions simplifying each expression
    8·2 answers
  • tell whether the quotient is greater than or less than the dividend when you divide a whole number by a fraction . explain your
    9·1 answer
  • Only number 8 plsssss bet no one can get this
    11·1 answer
  • Kim burns 85 calories per hour hiking. How many calories will Kim burn in h hours?
    5·1 answer
  • Please help! I know its either B or D but im not sure how to tell
    15·1 answer
  • Who wanna play among us
    13·2 answers
  • Estimate the solution to the system of equations
    14·1 answer
  • What is this? I’m struggling a little with this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!