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Otrada [13]
3 years ago
15

Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the soluti

on to the system of equations and explains why?
Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

Solution: (2,8)

Using the elimination method set up the system of equations like:

y = x + 6

y = 3x + 2

Eliminate the x-variable by multiplying the top equation by -3

-3y = -3x -18

y = 3x + 2

Combine terms:

-2y = -16

-y = -8

y = 8

Plug in 8 to one of the first equations for y

8 = 3x + 2

6 = 3x

x = 2

Solution: (2,8)

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Use the circle to answer the questions​
insens350 [35]

Answer:

Diameter: 10.8 cm

Circumference (in terms of π): 10.8π cm

Circumference (approximate): 33.91 cm

Step-by-step explanation:

Hi there!

<u>We're given:</u>

  • The radius (5.4 cm)

<u>1) Determine the diameter</u>

d=2r

Multiply the radius 5.4 cm by 2

5.4 × 2 = 10.8

Therefore, the diameter of the circle is 10.8 cm.

<u>2) Determine the circumference of the circle</u>

C=\pi d

Plug in the diameter 10.8

C=10.8\pi

Therefore, the circumference of the circle in terms of π is 10.8π cm.

<u />

<u>3) Determine the approximate circumference of the circle </u>

C=10.8\pi\\C=10.8(3.14)\\C=33.91

Therefore, the approximate circumference of the circle is 33.91 cm.

I hope this helps!

5 0
3 years ago
what the area of a triangle whose base is 23 inches and whose height is 28. write your answer in decimal
Aneli [31]

Answer:

322

Step-by-step explanation:

Triangle area = base*height)2Here, area = 23*28/2=322

5 0
2 years ago
Read 2 more answers
How to get the equation
Olenka [21]
ITS EASY AND IF YOU TRY YOU CAN FIND THE ANSWER JUST WORK HARD AND TRY
6 0
2 years ago
HELP IM IN DESPERATE NEED!!!<br> What is the solution to this system of equations?
Paladinen [302]

[Given]

{ x + y = 6

{ x = y + 4

[Plug-in our x value & solve]

[Given] x + y = 6

[ Plug-in] (y + 4) + y = 6

[Distribute] y + 4 + y = 6

[Combine like terms] 2y + 4 = 6

[Subtract 4 from both sides] 2y = 2

[Divide both sides by 2] y = 1

[Answer]

Third option - (5, 1)

-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

     ★ Also please leave the rating you think I deserve (It helps other users as well as myself)

- Heather

6 0
2 years ago
Rita earns $10 per hour. She puts 5% of her earnings in savings. Write inequality to find how many hours Rita must work to save
Rina8888 [55]

Answer:

Rita must work 50 days  to save at least $25.

Step-by-step explanation:

The amount Rita earns per hour  = $10

The saving percentage =  5%

So, the savings of Rita per hour =  5% of $10

⇒5% of $10  = \frac{5}{100}  \times 10  = 0.5

or Rita saves $0.5 per hour.

The amount she wants to save at minimum  = $25

So, let she works at the minimum of k Days.

⇒\textrm{The number of hours she has to work}  = \frac{\textrm{Amount she needs saving}}{\textrm{Amount saved in 1 hour}}

or, k = \frac{25}{0.5}  = 50

The number of hours she has to work  =  50 days

Hence,  Rita must work 50 days  to save at least $25.

3 0
2 years ago
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