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ira [324]
3 years ago
8

Find the value of r so the line that passes through the pair of points has the given slope.

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

x_1=12, y_1=10\\x_2=-2, y_2=r

Putting the values in slope of line formula,

-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\

Multiplying both sides by -14

-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66

The value of r is 66

Hence,

The missing value in the ordered pair is 66

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What is the recursive rule for the following sequence: -9, -2, 5, 12, ….
tino4ka555 [31]

Answer:

The answer is option (C)=an-1+7

Step-by-step explanation:

A recursive rule is a formula that in which each term is expressed as a function of its preceding term(s), meaning in order to get to the nth term you have to express it in a form of the term that comes before it. In our case the a(n-1) term

So for the sequence -9, -2, 5, 12

The nth term is any number on the sequence and

  • -2 is the a(n-1) term for -9
  • 5 is the a(n-1) term for -2
  • 12 is the a(n-1) term for 5

So we need to find out what we have to do to the preceding term to get the next.

To get -2 from -9 we have to add 7 to -9; -9+7=-2

To get 5 from -2 we have to add 7 to -2; -2+7=5

To get 12 from 5 we add 7 to 5; 7+5=12

So the recursive rule would be= a n-1+7

5 0
3 years ago
Find the length of the hypotenuse. Round your<br> answer to the nearest hundredth.
sergij07 [2.7K]

Answer:

8.06

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 7^2 = c^2

16 +  49 = c^2

65= c^2

Find the square root of 65

8.06

3 0
3 years ago
Four times a number was 22 greater than twice the same number. What was the number?
Setler [38]

Answer: 11

Step-by-step explanation:

Set up an equation

Based on the question, we can determine that 4x = 22 + 2x where x in is the number

"Four times a number" -> <u>4x</u>

"was" -> <u>=</u>

"22 greater than" -> <u>22 +</u>

"twice the same number" -> <u>2x</u>

Put the underlined parts together to get <u>4x = 22 + 2x</u>

Solve equation

Rearrange/collect like terms to solve for x by subtracting 2x from both sides

4x = 22 + 2x

2x = 22

Solve for x by dividing each side by 2

2x = 22

x = 11

Final Answer

x = 11

8 0
3 years ago
Read 2 more answers
What time what equals 315
hammer [34]
I divided 315 by any random number and chose the one that gave me a whole number
So I got 5x63 = 315
4 0
3 years ago
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Help me pls<br><br> What is a visual Overlap
PilotLPTM [1.2K]
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.


- Hope this helps!
4 0
3 years ago
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