For what value of k will the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent?​

Answers

Answer 1

Answer:

After solve the equations we get value of k=3

Step-by-step explanation:

We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.

If the lines are concurrent, they pass through same point.

Let:

[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]

First solving equation 1 and 2 to find values of x and y

From eq(1) we find value of x and put it in eq(2)

[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]

After solving we get value of y=-1

Now putting in eq(1) to get value of x

[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]

So, Value of x= 2

Now put value of x=2 and y=-1 into eq(3) to find value of k

[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]

So, After solve the equations we get value of k=3


Related Questions

A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?

Answers

Answer:

2.85 x 2 is equal to 5.7 so that should be the answer

Step-by-step explanation:

Did it on calculator sorry if wrong lol

Answer:

$5.70

Step-by-step explanation:

6 muffins is half a dozen, so double $2.85 and you get $5.70.

Math Finals HELPP
Jay has an online biology quiz due every 5 days and an online
math quiz due every 4 days. If both quizzes were due on June
6, when is the next day both quizzes will be due again?
JUNE
Sun
Mon
Tue
Wed
Thu
1
2
Fr Sat
3 4
10 11
17 18
8
9
5
12
7
14
13
15
16
23
19
21
24
20
27
25
22
29
26
28
30
A. June 13
B. June 16
c. June 26
D. June 29

Answers

Answer:

June 26th

Step-by-step explanation:

If mZMRT = 133º , then which equation can be used to find g?​

Answers

Answer:

D

Step-by-step explanation:

We know that MRT = 133 which means that is the total. Angle MRN and NRT are what makes the total angle which is 133. To find what each angle is individually, we can add them both together.

(2g - 2) + (4q - 9) = 133

6q - 11 = 133

6q = 144

q = 24

Best of Luck!

D. (2g - 2)+(4g -9) = 133

Because,

Given, angle MRT = 133°

and MRN = 2g - 2 °

and NRT = 4g - 9°

and MRT = MRN + NRT .........(equation (i))

Placing values in equation (i) we get,

133° = (2g - 2)° + (4g - 9)°

=> 133 = (2g - 2) + (4g - 9)

=> (2g - 2) + (4g - 9) = 133

Please help me out quickly

Answers

Answer:

I dont see the stuff I think my internet is slow but I will help you when its up again im using hotspot just remind me

Step-by-step explanation:

Could I get help with this?

Answers

Answer:

x int= -4 y int= 1

Step-by-step explanation:

intercepts refer to the place on the each axis where the line passes through

Surface area of 9cm, 10cm, and 15cm

Answers

Answer: The answer is 750 cm

If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:​

Answers

Answer: 50%

Step-by-step explanation:

(6000-4000)/4000= 2000/4000

=2/4=1/2

(1/2)100=50

A model of a skyscraper uses the scale of 2 inches = 45 feet. If the actual skyscraper is 992 feet tall, how tall is the model?

Answers

Answer:

44.08 or 44.1

Step-by-step explanation:

OK so the basics of this question is that for every 45 feet of the actual skyscraper we have 2 inches in the model. The first thing we do is divide 992/45 which equals 22.04. Know if this was 1 inch for every 45 feet we would be done however we need to multiply this number by 2 to get our answer so 22.04*2 =44.08

A carnival sold 450 tickets on Saturday. The ticket sales showed that 126 of the ticket sales were adult tickets. What percent of the tickets sold on Saturday were adult tickets?!PLEASE ANSWER!!!

Answers

Answer:

28%

Step-by-step explanation:

hope this helps, have a good day

if the probability of picking a pink jelly bean out of a bag is 4/15, what is the probability of not picking a pink jelly bean

Answers

Answer:

The probability of not picking a pink jelly bean: 11/15    

Step-by-step explanation:

As we know that the maximum value of the probability of an event would always be 1.

The reason is that '1' is certain that something would happen.

Given that the probability of picking a pink jelly bean out of a bag is 4/15.

Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.

i.e.

Probability of not picking a pink jelly bean = max probability - 4/15

                                                                       = 1 - 4/15

                                                                      = 11/15

Therefore, the probability of not picking a pink jelly bean: 11/15                                                                    

What is the solution to the inequality 14y−14≥14?

Answers

14y > 0 is the answer

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

How many different triangles ABC can be formed if C=60∘, c=17√3 and a=34?

Answers

Answer:

Jordan, Its been 5 hours, whats the answer?

Step-by-step explanation:

There can be only 1 triangle formed by the given information.

What is triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Given that, ABC can be formed if C=60∘, c=17√3 and a=34

Using the sine law for triangle,

A/sina = B/sinb = C/sinc

34/sina = 17√3/sin60°

⇒ sina = 90°

Since, The triangle ABC is a right triangle,

Hence, There can be only 1 triangle formed by the given information.

For more references on triangle, click;

https://brainly.com/question/2773823

#SPJ2

solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12

Answers

Answer: x =3; y = -2

[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]

Step-by-step explanation:

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

hellllllllllllllllllllllllllp me plzzzzz

Answers

D. 7 miles

Step-by-step explanation:

26.5/4 =6.62

So the best estimate is 7 miles

GIVEAWAY TO GET 100 POINTS + BRIANLIEST IF YOU ANSWER WHATS 9+10 B)

Answers

Answer:

uhhh 21

Step-by-step explanation:

19

What is the value of b in the triangle shown below?
a.-4in
b.4in
c.+4in
d.no solution

Answers

The answer to the question is b.4in

Which one of these transformations move by sliding in any direction?
A.Translation
B.Rotation
C.Reflection
D.Dilation

Answers

Answer:

D. Dilation, sorry if i'm wrong ;)

Step-by-step explanation:

(x + 1)^2 -8 (x-1 +16)

Answers

Answer: x2−6x−119

Step-by-step explanation:

provided in the screenshot below

what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?

Answers

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

A recipe for fruit punch requires 5 cups of pineapple juice and 8 cups of ginger ale. Find the amounts of pineapple juice and ginger ale that must be used to produce different amounts of this punch.

Answers

Answer:

answer below

Step-by-step explanation:

simply multiply by different numbers so...

5/8 x 2 = 10/16

5/8 x 3 = 15/24

and so on; as long as it can reduce to 5/8, it works!

No I never lied hahahah

Answers

Answer:

liar

Step-by-step explanation:

Can I get a brainliest answer pls

plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

Answers

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

Did the scale factor of 0.75 enlarge reduce or stay the same?

Answers

Answer:

[tex]\huge\boxed{\sf Reduces}[/tex]

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

g(x) = -4x2 + 4x – 2
What is the maximum or minimum step by step

Answers

Ok for this answer you use a calculator for the times part and for g x you get the times you count too

We want the maximun or minimum of [tex]g(x)=-4x^2+4x-2[/tex]

Firstly, notice that we have a leading coefficient of -4, wich means our parabola is concave down. Thus, our function will have a maximum.

To find what is the maximum, let's firstly find on wich value of x it happens. We'll start by taking the first derivative of the function:

[tex]g'(x)=-8x+4[/tex]

To find the extremes of the function, we just need to find where the derivative equals zero. Setting g'(x)=0 we have

[tex]0 = -8x+4\\8x=4\\x=\frac{1}{2}[/tex]

So we found that the x coordinate of the maximum is x=1/2. To find the y coordinate we just need to substitute the value of x into the original function.

[tex]g(1/2)=-4(1/2)^2+4(1/2)-2\\g(1/2)=-1+2-2\\g(1/2) = -1[/tex]

Therefore, the maximum point [tex]M[/tex] of the function is

[tex]\boxed{M=(0.5,-1)}[/tex]

 Glad to help! Wish you great studies.

If you found this helpful consider giving this answer brainliest ;)

Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car

Answers

Answer:

8000

Step-by-step explanation:

10000 x 20% = 2000

10000-2000= 8000

3x+y=-8
-2x-y=6

Find X and Y By Substituting

Answers

(-2,-2) is the answer .............

A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?

Answers

Answer:

The price of a burger is $4 and that of cone is $1.

Step-by-step explanation:

Let the cost of burger is x and that of cone is y.

ATQ,

3x+5y = 17 ....(1)

And

6x + 9y = 33 ...(2)

Multiply equation (1) by 2.

6x + 10 y = 34 ...(3)

Subtract equation (2) from (3)

6x + 10 y-(6x + 9y) = 34 - 33

6x + 10 y-6x- 9y = 1

y = 1

Put the value of y in equation (1)

3x+5 = 17

3x = 12

x = 4

So, the price of a burger is $4 and that of the cone is $1.

I need help ASAP I’ll mark you brainliest if you help pls

Answers

Answer:

1 hour sorry if wrong

Step-by-step explanation:

Which set of number includes only intergers

Answers

D because it doesn’t contain any fractions or decimals. Only negative and positive whole numbers

Answer:

{-10, -7, 0, 98, 145}

Step-by-step explanation:

An integer is whole numbers and their opposites, doesn't have to be written as a fraction.

{-3, 0, 5/6, 5, 45} 5/6 is not an integer{-9, -3, 0, 5.7, 7.8} 5.7 and 7.8 are not an integer{-3, -2 4/5, 5, 7, 53} 2 4/5 is not an integer{-10, -7, 0, 98, 145} all are integers.

Determine the value of x.
Question 8 options:


A)
2.2


B)
4.4


C)
2


D)
8.8

Answers

It is B 4.4
Because of 2.2 is the first one and the second one should be 4.4 so it B. 4.4

Answer:

The answer is: B) 4.4

Step-by-step explanation:

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