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Shtirlitz [24]
3 years ago
12

Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).

Mathematics
2 answers:
juin [17]3 years ago
7 0

Answer:

b.) x + 4y = 7

Step-by-step explanation:

when x = -1    and y = 2   :  -1+4(2) = -1 +8 = 7 .....right

when x = 3    and y = 1  : 3+4(1) = 7 .....right

dedylja [7]3 years ago
3 0

Answer:

b

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (3, 1)

m = \frac{1-2}{3+1} = - \frac{1}{4}, thus

y = - \frac{1}{4} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 2), then

2 = \frac{1}{4} + c ⇒ c = 2 - \frac{1}{4} = \frac{7}{4}

y = - \frac{1}{4} x + \frac{7}{4} ← in point- slope form

Multiply through by 4

4y = - x + 7 ( add x to both sides )

x + 4y = 7 → b

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PLEASE PLEASE PLEASE HELP!!
Marta_Voda [28]
Okay I'll try to show it step by step

Step 1. So first you need to recognise that the diagram is a right angled triangle, with the right angle being at the bottom. This means we can do Pythagoras' Theorem.

Step 2. Now that you know you can use Pythagoras' Theorem, you can apply it. If you don't know, the theorem is a² + b² = c², with, in this case, a being 5 and b being 8. This means we can do 5² + 8² = 25 + 64 = 89.

Step 3. From the previous step, we now know that the length of the side including x is √89, and because we know that part of this side is 3, if we subtract 3 from √89 we get the value of x, so: √89 - 3 = 9.434 - 3 = 6.434, which is your answer.

I hope this helps!
5 0
3 years ago
What is the y-coordinate of the solution of the system?
Ber [7]

Answer:

x= -13, y= -7

Step-by-step explanation:

6 0
2 years ago
The exact circumference of a circle is 18π inches. What is the approximate area of the circle? Use 3.14 for π. Round to the near
Aleks [24]

Answer:

254.34

Step-by-step explanation:

Given the circumfrence we can find the diameter b dividing by pi which will get us 18. We can then divide by 2 to get 9 which is our radius. To get the area we will square our radius :81 and multiply it by pi to get 254.34.

6 0
2 years ago
4, 13, 5, 8, R, 5, 11
Artyom0805 [142]

Answers:

R can be either 8, 9 or 10

============================================================

Explanation:

Let's exclude the R value for now.

The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.

Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.

If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.

So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}

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

If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.

Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.

If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.

So we've ruled out the cases that R = 5, R = 6 and R = 7.

If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.

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

Now let's consider the possibility that 8 < R < 11.

If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.

The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.

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

In short, R can be any of the following values: <u>8, 9, 10</u>

4 0
2 years ago
Three times the sum of a number and 12 is 45 plz help!
Norma-Jean [14]

This can be written as 3(n+12)=45, where n is the unknown number

3(n+12)=45 <- Starting Equation

3n+36=45 <- Distributive Property

3n=9 <- Cancel 36 on both sides

n=3 <- Divide both sides by 3

So n=3

Hope this helped!

4 0
3 years ago
Read 2 more answers
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