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N76 [4]
2 years ago
12

We find the "steepness," or slope, of a line passing through two points by dividing the difference in the ---Select--- -coordina

tes of these points by the difference in the ---Select--- -coordinates. So, the line passing through the points (0, 1) and (2, 11) has slope.
Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0

We find the "steepness," or slope, of a line passing through two points by dividing the difference in the y-coordinates of these points by the difference in the x-coordinates.

The line passing through the points (0, 1) and (2, 11) has slope of; 5

How to find the slope of a Line?

When finding the slope of a line, we can say that the formula to calculate the slope is;

Slope = Change in y-coordinate/Change in x-coordinate

Thus, We find the "steepness," or slope, of a line passing through two points by dividing the difference in the y-coordinates of these points by the difference in the x-coordinates.

Slope of the line passing through the points (0, 1) and (2, 11) gives;

Slope = (11 - 1)/(2 - 0)

Slope = 5

Read more about Slope of a Line at; brainly.com/question/3493733

#SPJ1

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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
Hunter-Best [27]

Answer:

a) 10th term is 0.051

b) The sum of first 18 terms of given sequence is 51.48

Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

a) Finding common difference: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

a) 10th term

The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

6 0
3 years ago
PLEASE Answer! I'll Give Brainliest And A Thanks For A GOOD Answer.
melisa1 [442]

Answer: Your welcome the answer is in the attached Image.

Step-by-step explanation: mark me brainliest.

5 0
2 years ago
HELP FAST HURRY FAST PLZ
Leviafan [203]

Answer:

cant rlly read the question

Step-by-step explanation:

4 0
3 years ago
What is the answer to <br>11-9m=-70
Fynjy0 [20]

Answer:

m=9

Step-by-step explanation:

11-9m=-70

-11        -11

-9m  =  -81

divide both sides by -9 and you get m=9

7 0
3 years ago
Read 2 more answers
Which of the following operations could you perform on both sides of the given equation to solve it? check all that apply. 8x -
antiseptic1488 [7]
8x-2x=24+6
6x=30
6x/6=30/6
x=5
3 0
3 years ago
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