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AysviL [449]
3 years ago
12

Complete the point-slope equation of the line through (3,-8) (6,-4)

Mathematics
1 answer:
Ganezh [65]3 years ago
3 0

Answer:

y + 4 = 4/3(x - 6).

Step-by-step explanation:

The point-slope formula is shown below. We just need to find the slope.

(-4 - (-8)) / (6 - 3) = (-4 + 8) / 3 = 4 / 3

m = 4/3, y1 = -4, and x1 = 6.

y - (-4) = 4/3(x - 6)

y + 4 = 4/3(x - 6).

Hope this helps!

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Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.
jok3333 [9.3K]
R=Number of rabbits

y=Years that have passed by { y ≥ 0 }

R=f(y) --> R is a function of y.
---------------------------------------------

Note that when:

y=0, R=4 ---> Point: (0, 4)

y=1, R=8 ---> Point (1, 8)

y=2, R=16 ---> Point (2, 16)

y=3, R=32 ---> Point (3, 32)

y=4, R=64 ---> Point (4, 64)

--------------------------------------------

So the equation you want is going to form a curved graph.

That equation is:

R={ 2 }^{ y+2 }

<em>*You can test out this function on any decent graphing software.</em>

7 0
3 years ago
Read 2 more answers
What is 34696 rounded to 2 significant figures
Natali [406]
The answer is 35000. Because 2 significant figures means the 2nd number, in this case it is the number 4 and if we want to round off something, look at the next number, if more than 5 or 5, you must round up.
4 0
3 years ago
Lydias hotel room number has three digits.The hundreds digit has a value of 40 Tens.The Tens digit is greater than 6. Which coul
stiks02 [169]

Any 3 digit number can be expressed in the form of:

(a*100)+(b*10)+(c*1)

Where a, b, c represent any natural number from 0 to 9.

We are told the hundreds number (this means a*100 in the expression above) is equal to the value of 40 tens, 40 tens is 400. Then, we know the digit in the tens is greater then 6, this means b>6 in the expression above.

So, there are multiple numbers the room number could be, namely:

400+(b*10)+(c*1)\\

where b can be 7, 8, or 9; and c can be  0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. So, there's 30 possible room numbers Lydia may be.

8 0
3 years ago
In in the previous activity you solved a system of equations representing the carnival admissions using the elimination method i
Mariulka [41]

Answer:

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 k+a=500 both variables k has 1 as their coefficient.

Step-by-step explanation:

We need to solve the system of equations using substitution method

The equation are:

k + a = 500--eq(1)\\3k + 10a = 3,600 --eq(2)

For substitution method, we find value of k from equation 1 and put in equation 2

From \ eq(1) \ we \ get\\k=500-a

Putting it in eq(2)

3k+10a=3600\\Put \ k=500-a\\3(500-a)+10a=3600\\1500-3a+10a=3600\\7a=3600-1500\\7a=2100\\a=\frac{2100}{7}\\a=300

So, we get value of a = 300

Now finding value of k by putting value of a in equation k=500-a

k=500-a\\Putting \ a \ =500\\k=500-300\\k=200

So, we get value of k =200

The value of a=300 and value of k=200

If you solve the above system of equations by elimination method, you will get the same values of a and k.

In Equation 1 k+a=500 both variables k has 1 as their coefficient.

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3 years ago
A triangle has three sides and a pentagon has five sides. true false
lbvjy [14]
That would be a true statement.
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