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3 years ago

Describe how to write an equation of a line using two points on the line.

Mathematics

1 answer:

CaHeK987 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Calculate the slope from 2 points.

Substitute either point into the equation. You can use either (3,7) or (5,11)

Solve for b, which is the y-intercept of the line.

Substitute b, -1, into the equation from step 2.

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a motorboat traveling with a current can go 160km in 4 hours. against the current it takes 5 hours to go the same distance. find

irakobra [83]

The speed of motorboat is 36 kmph and speed of current is 4 kmph.

Step-by-step explanation:

Distance covered in 4 hours = 160 km

Time took on return trip = 5 hours

Let,

x represent the speed of boat.

y represent the speed of current.

Combined speed of boat and current when in same direction = x+y

Speed of boat and current when travelling against = x-y

Distance = Speed * Time

Speed = $\frac{Distance}{Time}$

x+y = $\frac{160}{4}$

x+y = 40 Eqn 1

x-y = $\frac{160}{5}$

x-y = 32 Eqn 2

Adding Eqn 1 and Eqn 2

$(x+y)+(x-y)=40+32\\x+y+x-y=72\\2x=72$

Dividing both sides by 2

$\frac{2x}{2}=\frac{72}{2}\\x=36$

Putting x=36 in Eqn 1

$36+y=40\\y=40-36\\y=4$

The speed of motorboat is 36 kmph and speed of current is 4 kmph.

Keywords: linear equation, addition

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

Samuel invested $9,200 in an account paying an interest rate of 7\tfrac{1}{8}7 8 1 % compounded monthly. Noah invested $9,200

zzz [600]

Answer:

$699

Step-by-step explanation:

15825.8693-15126.9611

698.9082 (round to nearest dollar)

Answer: $699

7 0

2 years ago

find the exact atea under y=x^2 on the interval [0,2] by using an infinite number of circumscribed rectangles. (Hint: 1^2 + 2^2

sergeinik [125]

Answer: $\bold{\dfrac{8}{3}}$

<u>Step-by-step explanation:</u>

$\int\limits^2_0 {x^2} \, dx =\dfrac{x^3}{3}\bigg|^2_0=\bigg(\dfrac{2^3}{3}\bigg)-\bigg(\dfrac{0^3}{3}\bigg)=\dfrac{8}{3}-0=\dfrac{8}{3}$

NOTE: Neither the Trapezoidal Rule or Reimann Sums can be used without the number of rectangles (n) you are separating the interval into. Besides, they only provide an estimate. If you want the EXACT area, you must use integration.

8 0

3 years ago

Read 2 more answers

Can someone plz help how to solve this by showing the work to

harkovskaia [24]

Just multiply the number out of the parentheses with the ones inside. So -8 times 9=-72 and 3q times -8=-24q. Now keep the same operation, which is subtraction in this case.So, -72--24q or -72+24q will be the correct answer.

7 0

3 years ago

What is the answer

Leto [7]

uhhhhhhhhhh, i think it's 6? im not sure, i dont see the full photo but ig.

3 0

3 years ago