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2 years ago

Find an equation of the line containing the given pair of points (4,1) and (12,7)

Mathematics

1 answer:

Eva8 [605]2 years ago

4 0

Answer:

Y = 3/4 X -2

Step-by-step explanation:

Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.

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Find the oth term of the geometric sequence 7, 14, 28, ...

yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

$\frac{14}{7}=2,\:\quad \frac{28}{14}=2$

The ratio of all the adjacent terms is the same and equal to

$r=2$

now substituting r = 2 and a₁ = 7 in the nth term

$a_n=a_1\cdot r^{n-1}$

$a_n=7\cdot \:2^{n-1}$

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

$a_n=7\cdot \:2^{n-1}$

6 0

2 years ago

What’s answer 1 and 2?

emmasim [6.3K]

hey sorry I need a free point !

4 0

2 years ago

Francesca bought a rectangular piece of fabric that is 2/3 yard long and 3/4 yard wide. What is the area, in square yards, of th

ollegr [7]

Answer:

$area \: = length \times width \\ = \frac{2}{3} \times \frac{3}{4} \\ = \frac{(2 \times 3)}{(3 \times 4)} \\ = \frac{6}{12} \\ area = \frac{1}{2} square \: yards$

6 0

3 years ago

Help please!!

Luden [163]

Answer:

7.5 km ggggggggggg ghhk

5 0

2 years ago

The sum of two numbers is 30. The difference of twice the larger number and three times the smaller number is 5. What is the pos

natali 33 [55]

Let’s give these two numbers variables
Let ‘a’ be the larger number
Let ‘b’ be the smaller number

Now from the question we know:
a + b = 30 or a = 30 - b
2a - 3b = 5

Now, let’s plug the first equation into the second to find ‘b’:

2(30 - b) - 3b = 5
60 - 2b - 3b = 5
60 - 5b = 5
55 = 5b
b = 11

Now we solve for ‘a’:
a = 30 - b
a = 30 - 11
a = 19

Now the question asks for the positive difference between the two numbers, so:
a - b = ?
19 - 11 = 8

Hope this helps!

5 0

3 years ago