All categories

3 years ago

Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.

Mathematics

1 answer:

balandron [24]3 years ago

7 0

Answer:

k = 5

Step-by-step explanation:

The given line is y = 4x - 14.

The given point is (k, k + 1).

For this point, x = k and y = k + 1.

You substitute these equations into the line's equation to find the value of k.

(x = k)

(y = k + 1)

y = 4x - 14

(k + 1) = 4(k) - 14

Solve for k.

k + 1 = 4k - 14

Subtract k from both sides.

1 = 3k - 14

Add 14 to both sides.

15 = 3k

Divide both sides by 3.

15/3 = k

Simplify.

5 = k

And that's the answer!

Please mark as Brainliest! :)

You might be interested in

Write in y= mx + b form: a line through (-3,1) having the same y-intercept as the graph of x-2y=-4

MariettaO [177]

Step-by-step explanation:

Aight, so the same intercept

$- 2y = - 4 - x = = = > \\ y = \frac{1}{2} x + 2$

m=½

$y = \frac{1}{2} x + b = = = > \\ now \: let \: us \: replace \: the \: point \\ 1 = \frac{1}{2} ( - 3) + b = = = > \\ \frac{5}{2} = b$

soooo

$y = \frac{1}{2} x + \frac{5}{2}$

7 0

2 years ago

Which of the following demonstrates how the 20 is calculated using the combination pattern

UNO [17]

The combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3

<h3>Permutation and Combination</h3>

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3

Learn more on combination here: brainly.com/question/4658834

#SPJ1

5 0

2 years ago

If 1/a, 1/b, 1/c are in Arithmetic Progress, show that 2ac/a+c.

Iteru [2.4K]

1/b-1/a = 1/c-1/b [ since they are in arithmetic progress]
1/b+1/b = 1/c+1/a
2/b = (a+c)/ac
2ac = b(a+c)
2ac/(a+c) =b

6 0

3 years ago

Plz help I need help

AveGali [126]

<h2><u>Answer</u><u> </u><u>:</u></h2>

x + 23 = -22

x = ?

x = -22 - 23

x = - ( 22 + 23 )

x = -45

x = -45 ✔️

8 0

3 years ago

if Hayden had 1224 golden apples and jenny had 1889 golden apple how many would the have all together

harina [27]

So, Hayden has 1224 Apples
Jenny has 1889 Apples.

All your doing is ADDING the apples to get your answer of : 3113 apples together.

4 0

3 years ago

Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.​

Give that the line y=4x-14 passes through the point (k,k+1), find the value of k.