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
xenn [34]
3 years ago
12

The ordered pair (2,-5) is a solution to which of the following systems of equations

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

The ordered pair will simply be the point at which these two lines cross. We solve the equations as simultaneous equations.

The solution is the point

(

−

6

,

−

11

)

Explanation:

We solve the set of two equations as simultaneous equations.

Call this Equation 1:

y

=

2

x

+

1

Call this Equation 2:

y

=

x

−

5

Rearrange Equation 2 to make

x

the subject:

x

=

y

+

5

Substitute this value of

x

into Equation 1:

y

=

2

(

y

+

5

)

+

1

=

2

y

+

10

+

1

=

2

y

+

11

Rearranging:

−

y

=

11

y

=

−

11

We can substitute this into either equation to find the value of

x

:

x

=

−

6

That means the intersection of the lines is at the point

(

−

6

,

−

11

)

.

Step-by-step explanation:

You might be interested in
Write a polynomial function of the least degree that has roots of 3 and (4 + i).
polet [3.4K]

Answer:

  • x³ - 11x² + 41x - 51

Step-by-step explanation:

The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.

<u>The polynomial is:</u>

  • (x - 3)(x - (4 + i))(x - (4 + i)) =
  • (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) =
  • (x - 3)(x² - 8x + 16 - (-1)) =
  • (x - 3)(x² - 8x + 17) =
  • x³ - 8x² + 17x - 3x² + 24x - 51 =
  • x³ - 11x² + 41x - 51
4 0
2 years ago
Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 e
Andre45 [30]

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

5 0
3 years ago
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
gizmo_the_mogwai [7]

Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

<h3>What is a Chord in Geometry?</h3>

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

<h3>What is the Congruent Chords Theorem?</h3>

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

Learn more about the congruent chords theorem on:

brainly.com/question/7511582

#SPJ1

4 0
2 years ago
Factor completely: 12a^2b–18ab^2–30ab^3
Goryan [66]

Answer:

6ab(2a-3b-5b²)

Step-by-step explanation:

6(2a²b-3ab²-5ab³)

6a(2ab-3b²-5b³)

6ab(2a-3b-5b²)

7 0
3 years ago
PLEASE PLEASE PLEASE PLEASE (5'1, 5'2, 5'3, 5'4, 5'5, 5'6, 5'7, 5'8, 5'9, 5'9, 5'10, 5'11, 5'12)
Yakvenalex [24]

Answer:5

5 feet 7 inches

Step-by-step explanation:

first add all of the given together and then divide what you get by the number of terms given

(5'2+5'3+5'4+ 5'5+5'6+ 5'7+ 5'8+5'9+5'9,+5'10+5'11+5'12)/12 = 5'7 11/64 inches

then divide 11 by 64 on a calculator and then round the decimal you get to the nearest tenth which gives you the answer 5 feet 7 inches.

4 0
2 years ago
Other questions:
  • A snowmobile traveled 32 miles in 213 hours.
    11·1 answer
  • ** uestion number 2
    14·1 answer
  • What Is It Called to Move a Figure in Any Direction Without Rotation?
    9·1 answer
  • Bobby spent 122 minutes on school work the first week, but only spent 109 minutes on school work the second week.
    5·2 answers
  • Carmen, Reuben, and Jim sent a total of 156 text messages over their cell phones during the weekend. Jim sent 6 fewer messages t
    13·1 answer
  • What is the slope of y=1/2x + 3?
    7·2 answers
  • 6/9 is a rational number. Select all the rational numbers that are equivalent to 6/9
    5·1 answer
  • What is statistical power and how would you calculate it?
    5·1 answer
  • For the sequence of numbers
    13·1 answer
  • Can you solve... 4(-6g-10h)+3h-4(-3h-10g)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!