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1 year ago

Work out the equation of the line which has a gradient of -2 and passes through the point (4, 8).

Mathematics

2 answers:

konstantin123 [22]1 year ago

7 0

Answer:

y = -2x + 8

Step-by-step explanation:

Formula = y = mx+c

where m = gradient of the line

and c= y intercept

in the coordinate (4,8), the point where the line intercepts the y axis is 8

this substitute:

y= mx + 8

Gradient = m = -2

Therefore, equation of line= y= -2x +8

Please mark as Brainliest and best of luck on your homework.

max2010maxim [7]1 year ago

3 0

Answer:

y = -2x + 16.

Step-by-step explanation:

We are given the slope and a point on the line, so

we use the point-slope form of a straight line:

y - y1 = m(x - x1)

Here gradient m = -2, x1 = 4 and y1 = 8 , so we have:

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16.

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How do you get a34 from a=-11+7n

marissa [1.9K]

Answer:

Step-by-step explanation:

34=-11+7A

We move all terms to the left:

34-(-11+7A)=0

We add all the numbers together, and all the variables

-(7A-11)+34=0

We get rid of parentheses

-7A+11+34=0

We add all the numbers together, and all the variables

-7A+45=0

We move all terms containing A to the left, all other terms to the right

-7A=-45

A=-45/-7

A=6+3/7

6 0

3 years ago

- Write a recursive formula to represent the sequence below. (3,7, 11, 15, 19,23,27,31,35, ...)

NemiM [27]

The recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ....

Solution:

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

Let us find the difference between terms

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The nth term of arithmetic sequence is given by:

$a_n =a_1+(n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

$a_1=3$

Substitute in above formula,

$a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1$

Thus the recursive formula to find nth term of sequence is:

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ......

8 0

3 years ago

Two trains, Train A and Train B, weigh a total of 312 tons. Train A is heavier than Train B. The difference of their weights is

Korvikt [17]

312-170=142
142÷2=71
170+71=241
241+71=312
train A weighs 241 tons

7 0

3 years ago

Whats the answer to 3+9(4x+8)30x20

AnnZ [28]

Answer:

The Answer is 1080x^21 + 2160x^20 + 3

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The schools sport Teams call the bank with the teams I charge $125 for the rental of the whole plus $12 for each meal so the tot

DIA [1.3K]

Answer:

35 People

Step-by-step explanation:

From the given information

$125 was charged for the rental of the hall
Each Meal costs $12
Total Bill = $545

Let the number of people attending the banquet=x

Therefore:

Cost of Hall Rental + Total Meal Cost = Total Bill

125+12x=545

12x=545-125

12x=420

x=420/12=35

Since x=35, we conclude that 35 People attended the banquet.

5 0

3 years ago

Work out the equation of the line which has a gradient of -2 and passes through the point (4, 8).​

Work out the equation of the line which has a gradient of -2 and passes through the point (4, 8).