1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
White raven [17]
3 years ago
15

Solve the system of equations and choose the correct answer from the list of options.

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
8 0

9514 1404 393

Answer:

  (c)  (10, 2)

Step-by-step explanation:

Adding the two equations, we have ...

  (d +e) +(-d +e) = (12) +(-8)

  2e = 4

  e = 2 . . . . . . matches choice C

  (d, e) = (10, 2)

Lunna [17]3 years ago
3 0

Answer:

  • The ordered pair as (d, e) is (10, 2).

Step-by-step explanation:

Given that:

  • d + e = 12 ______(i)
  • - d + e = - 8 ______(ii)

To Label:

  • The ordered pair as (d, e).

Adding equation (i) and (ii).

⟶ d + e + (- d + e) = 12 + (- 8)

⟶ d + e + - d + e = 12 - 8

Cancelling d.

⟶ 2e = 4

⟶ 2e = 2 × 2

Cancelling 2.

⟶ e = 2

In equation (i)

⟶ d + e = 12

Putting the value of e.

⟶ d + 2 = 12

⟶ d = 12 - 2

⟶ d = 10

Hence,

  • The ordered pair as (d, e) = (10, 2)

You might be interested in
When dividing 6389.8 by 1000 where do I move the decimal?
AlexFokin [52]

Answer:

To the left three times

Step-by-step explanation:

1000 has three 0 so you move it 3 to the left. So your answer should be 6.3898.

5 0
3 years ago
Read 2 more answers
5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
sergeinik [125]

Answer:

f(x) = x + 3

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where (x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)

So, m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{0 - (-2)}{-3 - (-5)}

m = \frac{0 + 2}{-3 + 5}

m = \frac{2}{2}

m = 1

The equation of the line can then be calculated using any of the given points;

Using

m = \frac{y - y_1}{x - x_1}

Where\ (x_1,y_1) = (-5,-2)\ and\ m =1

We have

1 = \frac{y-(-2)}{x-(-5)}

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

Multiply both sides by x + 5

(x+5)*1 = \frac{y+2}{x+5} * (x+5)

x + 5 = y + 2

Subtract 2 from both sides

x + 5 - 2 = y + 2 - 2

x + 3 = y

y = x + 3

Replace y with f(x)

f(x) = x + 3

Hence, from the list of given options; Option B is correct

8 0
3 years ago
Is this relation a function?
pishuonlain [190]

Answer:

Yessssssss

Step-by-step explanation:

A function cannot be assigned more than one output for each input. Since each input has one output it is a function

6 0
3 years ago
Solve for x<br> 12x + 7x = 5x - 42
victus00 [196]

Answer:

x = - 3

Step-by-step explanation:

Given

12x + 7x = 5x - 42, that is

19x = 5x - 42 ( subtract 5x from both sides )

14x = - 42 ( divide both sides by 14 )

x = - 3

6 0
3 years ago
Read 2 more answers
I need help on number 12
faltersainse [42]
Angle ACD and angle CAD are angles that add to 90 degrees (60+30 = 90) and they are non-adjacent. They do not share a common vertex. So this is why the two angles fit the description for number 12.

In contrast, two adjacent complementary angles are angle FDG and angle GDE. They add to 90 degrees and share the common vertex point D. They also share a common segment DG. 
6 0
3 years ago
Other questions:
  • Change the following distribution into 'less than' type distribution and draw its ogive.
    7·1 answer
  • how to break into the white house in Washington dc please need help will mark brainliest very important.
    6·1 answer
  • What is the equation of a line, in Slope Intercept Form, with a slope of 2 and passes through the point (6, 9)?
    11·1 answer
  • Mrs. Adesso wants to take her class on a trip to either the science center or the natural history museum. The science center cha
    7·2 answers
  • Which number is between -1 and 1?
    5·2 answers
  • Identify the domain of the graph of y = -x2 - 6x – 13.
    9·2 answers
  • PLEASE HELP
    12·1 answer
  • Plz help in super stressed
    5·1 answer
  • Look at the picture.
    6·1 answer
  • Multiplier of 1.641 corresponds to a percentage increase or decrease?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!