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Artemon [7]
3 years ago
5

A line passes through the point (3,1) and has a slope of 2. what is the y-intercept?

Mathematics
2 answers:
Valentin [98]3 years ago
7 0
The y intercept would be -5
Papessa [141]3 years ago
6 0

Answer:

-5

Step-by-step explanation:

First, we can plug all the given values into the equation y=mx+b. This is called slope-intercept form. m is the slope and b is the y-intercept. To find the y-intercept, we solve for b.

y=mx+b

1=2(3)+b

1=6+b

Subtract both sides by 6

1-6=6+b-6

-5=b

Therefore, the y-intercept is -5.

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How do you use the keyboard on the computer to write exponents and other algebraic symbols
ICE Princess25 [194]

You will have to type it into Microsoft word first, type a number or algebraic expression into a Word document. Press the "Ctrl," "Shift" and "=" keys on your keyboard to turn on the Superscript mode. Enter another number or expression signifying the exponent.


Hope this helps! :)

7 0
4 years ago
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:

  • brainly.com/question/1087090
  • brainly.com/question/1096947

#LearnwithBrainly

8 0
3 years ago
Find the remainder when f(x) is divided by (x - k). <br><br> f(x) = 8x4 + 7x3 + 5x2 - 5x + 35; k = 4
Slav-nsk [51]
Using the remainder theorem, evaluating the function for k will be the same value as the remainder.
8(4^4) + 7(4^3) + 5(4^2) -5(4) + 35 =
2048 + 448 + 80 + - 20 + 35 =
2591
6 0
3 years ago
Read 2 more answers
Helppp the tutorsss arent workinggg
Rama09 [41]

Answer:

210.82

Step-by-step explanation:

arc length= 2pi r (Ø/360)

= 2x 3.14 x 47(257/360)=210.82

5 0
3 years ago
Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire f
Phoenix [80]

Answer:

51 meters

Step-by-step explanation:

Steve is turning half his backyard into a chicken fan. His backyard is a 24 m x 45 m rectangle. He wants to put a chicken wire fence that stretches diagonally from one corner to the opposite corner. How many meters of fencing will Steve need?

We are to find the meters of fencing for the diagonal.

We solve the question using Pythagoras Theorem

= c² = a² + b²

Where

c = Diagonal

a = Width

b =Length

Diagonal² = Width² + Length ²

Hence:

Diagonal ² = 45² + 24²

Diagonal = √45² + 24²

Diagonal = √(2601)

Diagonal = 51 m

Therefore, the meters of fencing for the diagonal that Steve would be needing = 51 meters

7 0
3 years ago
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