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
emmainna [20.7K]
3 years ago
15

Which of the following ordered pairs are solutions to the system of equations below?

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

x = 43/12

y = - 35/6

Step-by-step explanation:

4x + 4y = -9

y = 2x - 13

4x + 4(2x - 13) = - 9

4x + 8x - 52 = - 9

12x = 52 - 9

12x = 43

x = 43/12

y = 2×43/12 - 13

y = 86/12 - ¹²⁾13

y = (86 - 156)/12

y = - 70/12

y = - 35/6

You might be interested in
34
Vadim26 [7]

Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

4 0
3 years ago
What topic is this and how do you go about it?
shepuryov [24]
Finding an angle of a triangle
6 0
3 years ago
Read 2 more answers
The diameter of a circle is 1.4 centimeters. Find its area. Use 3.14 Round to the nearest
NeTakaya

Answer:

Area = 1.54

Step-by-step explanation:

Area = πr^{2}

π = 3.14

diameter = 1.4

radius (half of diameter) = 0.7

Area = 3.14 x 0.7^{2}

Area = 3.14 x 0.49

Area = 1.5386

round to the nearest hundredth:

1.5386 = 1.54

8 0
3 years ago
Read 2 more answers
Which inequality is NOT true if y= -5​
MatroZZZ [7]

Answer:

2y -10 > 13

Step-by-step explanation:

3 0
3 years ago
The following function is probability Distribution function.
Rina8888 [55]

Answer:

9.60 ; - 60.96

Step-by-step explanation:

Given the function :

F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.

x = 0

F(0)=6(0+1)/25 = 6/25 = 0.24

x = 1

F(1)=6(1+1)/25 = 12/25 = 0.48

x = 2

F(2)=6(2+1)/25 = 18/25 = 0.72

x = 3

F(2)=6(3+1)/25 = 24/25 = 0.96

x = 4

F(2)=6(4+1)/25 = 30/25 = 1.2

X ______0 _____ 1 ______ 2 ______ 3 ____ 4

P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2

Mean, μ = Σx*p(x) :

(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)

= 9.60

Variance : Σx²*p(x) - μ²

(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2

= 31.2 - 92.16

= - 60.96

4 0
2 years ago
Other questions:
  • What is -3.75 in the simplest form
    8·1 answer
  • What is the sixth multiple of 1/5
    14·1 answer
  • If 3 dogs eat 4 pounds of dog food a day how many dogs eat 15 pounds of food a day
    12·1 answer
  • Finding the area of a figure
    9·2 answers
  • Help help help help help PLEASE
    12·2 answers
  • Answers <br> (-2,3)<br><br> (-2,4)<br><br> (-3,2) <br><br> (3.-2)
    13·2 answers
  • If Figure F is rotated 180° and dilated by a factor of , which new figure could be produced?
    12·1 answer
  • Solve: 70 x 103^3.<br><br> A 7,000<br> B 700,000<br> C 700<br> D 70,000
    15·2 answers
  • 1. 18 = -6/7h<br><br> 2. -3/4x = 21/8x<br><br> 3. -1/2z = 5/12
    10·1 answer
  • Match the following items.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!