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timofeeve [1]
3 years ago
12

What is the equation of the line that passes through the points (1,5) and (0,3)?

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0

Answer:

y=2x+3

Step-by-step explanation:

first use the y2-y1/x2-x1 then use y=mx+b after

plug in 3 for y2 and 5 for y1

then plug in 0 for x2 and 1 for x1

\frac{3-5}{0-1}=\frac{-2}{-1} =2 and 2 is ur slope

___________________

now use y=mx+b

i usually use the first point but u can u anyone u want

plug in 1 for x

plug in 5 for y

and plug in 2 for m

5=2(1)+b

5=2+b

subtract 2 on both sides

5-2=3

3=b and b is ur y-intercept

y=2x+3

hope this helps

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Write the next 3 numbers in this pattern. Then describe the rule for this pattern in an nth expression.
hram777 [196]

Answer:

An=10^n + 1 is the expression for the nth term.

Next three terms:

100001

1000001

10000001

Step-by-step explanation:

The number ot 0's imcrease between the two 1's starting at no zeros, 1 zero, two zeros, and so on...

So the next terms are 100001, 1000001, 10000001 and that's without finding the formula.

Now let's find the formula:

A1=11=10+1

A2=101=100+1

A3=1001=1000+1

Notice we have increasing powers of 10 and then just adding 1.

A1=10^1 +1

A2=10^2 +1

A3=10^3 +1

....

An=10^n +1

8 0
3 years ago
A model car travels around a circular track with radius 5 feet. Let Z denote the distance between the model car and a fixed poin
Eddi Din [679]

Answer:

\frac{dZ}{dt}= \frac{40}{\sqrt{545} } , so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.

Step-by-step explanation:

The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,\frac{dx}{dt} , and \frac{dy}{dt} gives \frac{dZ}{dt}= \frac{40}{\sqrt{545} } ,

5 0
3 years ago
2 people working at the same rate will take 6 hours to paint a room.
inna [77]

Answer:

4 hours

Step-by-step explanation:

2×6=3x

12÷3= 4

x=4 so 4 hours.

8 0
3 years ago
Read 2 more answers
Using y=mx+b find the slope for<br> 5) 2x − y =1
frosja888 [35]

Answer:

2

Step-by-step explanation:

change it to slope intercept form

2x-y=1

add y

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subtract 1

2x-1=y

reorder

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so the slope is 2

7 0
3 years ago
The sum of 3 consecutive odd numbers is 87, what are the numbers?
Nina [5.8K]

Answer:

The numbers are 28, 29 and 30

Step-by-step explanation:

We consider the first number as X, the second consecutive number is X+1 and the third is X + 2. The sum of these 3 numbers is 87, so:

X + X+1 +X+2 = 87    

3x + 3 = 87

We substract 3 on both sides of the equation

3x + 3 - 3 = 87 - 3

3x = 84

We divide by 3 on both sides

x = 28

This means our numbers are 28, 29 and 30

3 0
3 years ago
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