The lines 2x=ky+2 and (k+1)x=6y-3 have same gradient. Find possible values of k
I need the answers ASAP please!

Answers

Answer 1

Answer:

k = 3 or k = -4

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

[tex]2x=ky+2\to\ eq1\\(k+1)x=6y-3\to\ eq2\\$Change to this form: $y=mx+c\\ky=2x-2\\y=\frac{2x-2}{k}\\$gradient of eq1: $\frac{2}{k}\\6y=(k+1)x+3\\y=\frac{(k+1)x+3}{6}\\y=\frac{k+1}{6} x+\frac{3}{6}\\y= \frac{k+1}{6} x+\frac{1}{2}\\$gradient of eq1: $\frac{k+1}{6}\\$Since gradient, m, is the same for both lines,$\\\frac{2}{k}=\frac{k+1}{6}\\12=k^{2}+k\\k^{2}+k-12=0\\(k-3)(k+4)=0\\k=3 $ or $ k=-4[/tex]


Related Questions

Help! If u get it i will mark brainliest!
Triangle QRS is a right triangle. mR = 34° What is mQ? A. 34°, B. 46°, C. 56° D. 66°

Answers

Answer:

c

Step-by-step explanation:

i just did it

Fifteen pencils are sold for $750. what is the cost for 1 pencil ?

a. 20
b.50
c.30
d.100​

Answers

Answer:

b) 50

Step-by-step explanation:

750/15 = 50

heyy could you help me out with this question I have been stuck in this question??​

Answers

i think the first box is perpendicular good luck

A soup kitchen cooks up a total of 200 cups of soup. If their standard serving size is 2 1/2 cups, how many servings can they hand out, at most?

Answers

Answer: They can hand out exactly 80
Explanation: 200 divided by 2 1/2 = 80

Marty and Adam want to share 8/10 feet of rope, equally. What amount of rope should each person get?

Answers

Answer: 2/5 feet

Step-by-step explanation:

From the question, we are informed that Marty and Adam want to share 8/10 feet of rope, equally.

The amount of rope that each person would get would be calculated by dividing 8/10 by 2. This will be:

= 8/10 ÷ 2

= 8/10 × 1/2

= 8/20

= 2/5

Therefore, each person gets 2/5 feet of rope.

A book is 210 pages long; 140 of the pages have images on them. If Patrick opens the book to a random page, what is the probability that the page will have an image on it?

Answers

Answer: as a ratio it’s 140:210 and as a simplified fraction it’s 2/3. But not simplified it’s still 140/210

Step-by-step explanation:

Caroline delivers flowers and earns $1.25 for each rose and $0.75 for each daisy. What is her total pay for a week in which she sold 288 roses and 432 daisies?

Answers

Answer:

She will be paid $684

1. El perímetro de la figura que se muestra es:

a. 10x2+20y+8
b. 19x2+16y+16
c. 19x2+20y+16
d. 19x2+20y+8

Answers

Answer:

I think is C 19x2+20y+16

Which of the following shows the extraneous solution to the logarithmic equation log7(3x^3+x)-log7(x)=2?

Answers

Answer:

x=4

Step-by-step explanation:

on edge

The extraneous solution to the logarithmic equation log₇(3x²+x)-log₇x=2 is x=16

What is logarithm?

When you raise a number with an exponent, there comes a result.

Lets say you get[tex]a^b = c[/tex]

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

We are given the function as;

log₇(3x²+x)-log₇x=2

Domian: 3x²+x>0

x(3x+1)>0

x∈(-∞,-1/3)U(0,∞)

Hence, x∈(0,∞), Thus x∈(0,∞)

In this problem we use the following formula:

 [tex]\boxed {log_ax-log_ay=log_a\frac{x}{y}}\displaystyle\\log_7(3x^2+x)-log_7x=2\\\\log_7(x(3x+1))-log_7x=2(1)\\\\log\frac{x(3x+1)}{x} =2(log_77)\\\\log(3x+1)=log_77^2\\\\log_7(3x+1)=log_749\\\\\\\\3x+1=49\\\\3x+1-1=49-1\\\\3x=48\\\\x=16[/tex]

Learn more about logarithm here:

https://brainly.com/question/20835449

#SPJ7

HELP ME PLASE IM BEGGING YOU

Answers

Answer:

5x+4

Step-by-step explanation:

(7x+1)-(2x-3)

Remove parentheses

=7x+1-(2x-3)

=7x+1-2x+3

Simplify

7x+1-2x+3=5x+4

Quick prints makes custom t-shirts. They charge $10 for each t-shirt ordered plus a $5 design fee. Which situation best represents y, the total cost to order x t-shirts?

Answers

Answer:

y = 10x+5

Step-by-step explanation:

The price of each T-shirt = $10

Design fee on each T-shirt = $5

We need to find the expression for the total cost. Let the total cost be y. So,

Let he has ordered x T-shirts. So,

y = 10x+5

Hence, this is the required solution.

As a manager in a flooring store, you respond to a customer’s inquiry regarding available sizes of square tiles. The customer needs square tiles that measure 1.5 feet on each side. Your store sells square tiles with lengths measured in centimeters. What is the side length, in centimeters, of a square tile that measures 1.5 feet on each side, rounded to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

1.5ft(12in/ft)(2.54cm/in)=45.72cm

Tywaun wants to know how much candy his container can hold. The
container is 20 centimetres tall, 10 centimetres long and 10 centimetres
wide. What is the container's volume?

Answers

Answer:

100 pieces maybe?

Step-by-step explanation:

A store bought a glass measuring cup at a cost of $1.50 and marked it up 150%. Later on, the store marked it down 80%. What was the discount price?

Answers

Answer:

45 cents

Step-by-step explanation:

A package of 4 pair of insulated socks cost $32.76. What is the unit price of the pair of socks

Answers

8.19$ sorry if I got it wrong

Answer:

The answer is 8.19, You have to divide 32.76 by 4(Ps. Sorry I'm not good at explaining)

HELP WILL MARK BARINLIEST IF RIGHT!!!

Answers

Step-by-step explanation:

Hence the value of x is 70.14cm.

Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?

Answers

Step-by-step explanation:

5 360

8 x

5x=360•8

x=576miles

convert 5000 mm = ____ cm​

Answers

Answer:

it's 500 cm

HOPE THIS HELPS

Step-by-step explanation:

Answer:

500 cm

Step-by-step explanation:

i did the math

BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!

Answers

shouldn’t it be the figures are similar? theyre the same size, along with the same measure of angles.

Step-by-step explanation:

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.

Figure ABCD is similar to figure A'B'C'D'. is the correct awnser.this is became ABCD is reflected over the y-axis so it is simular too A'B'C'D.

A is incorrect because the size of the shape doesn't change when getting reflected.

B and D is incorrect because just by looking at the shape D is not equal to A' or B'

Hope this helps!!

Solve by graphing

|1x - 1| = |2x - 5|

Answers

Answer:

x=4 or x=2

Step-by-step explanation:

PLEASE HELPPP
Which is a set of collinear points?

Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J

Answers

Answer:

A g, h, i

Step-by-step explanation

A set of collinear points all lie on the same line

Answer:

sf

Step-by-step explanation:

sf

In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.

GEOMETRY. Need help i will give brainliest

Answers

Answer:

x = 10

Step-by-step explanation:

If two tangent segments are drawn to a circle from an external point, then those segments are congruent.

x+11 = 2x+ 1

x = 10

Answer:

x=10

Step-by-step explanation:

x+11=2x+1

x+10=2x

10=2x-x

x=10

Brillianst!!!!!

Apply the Distributive Property to Simplify the Expression
3(36)

Answers

Answer:

108

Step-by-step explanation:

3(36)=3(30+6)=90+18=108

A scientist is growing bacteria. The number of bacteria cells doubles every week. The scientist begins with 30 cells. Write an expression to find the number of cells after x weeks .

Answers

Answer:

2x+30

Step-by-step explanation:

One of my homework problems say: Solve the proportion. X/4=2/5. I am stuck on this one. It will be appreciated if you explain the steps to complete this problem. Thanks for your help!

Answers

Answer:

1.6

Step-by-step explanation:

Given :

X/4 = 2/5

To solve for X ;

We can use cross multiplication ; multiply opposite values :

X * 5 = 2 * 4

5X = 8

To isolate X ;

Divide both sides by 5

5X/5 = 8/5

X = 8/5

X = 1.6

-6n-2n=16


This isn't urgent

Answers

I’m pretty sure n = -2

Answer:

n = -2

Step-by-step explanation:

[tex] - 6n - 2n = 16[/tex]

➡️ [tex]( - 6 - 2)n = - 8n[/tex]

➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]

➡️ [tex]n = 16 \div ( - 8)[/tex]

➡️ [tex]n = - 16 \div 8[/tex]

➡️ [tex]n = - 2[/tex]

Simplify each expression. Show all work from credit.
Plz help me

Answers

Answer:

1. = 1 because any numbers to the power 0 is one

2. = 1/64

3.= b^15 base same power added up

PLEASE HELP IMMIDEATIALY BFHBGDWAHDW

Answers

Answer:

zeros and AoS

Step-by-step explanation:

zeros, x = (1 , -7)

AoS:x =-1

What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm

Answers

We dont know this
You need to have only 2
For ex: 4 cm and 7 cm
So, P=2• (a•b)
2•(4•7)
P=56cm

Answer:

12

Step-by-step explanation:

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