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2 years ago

Which ordered pair solves the system of equations?

Mathematics

1 answer:

Serggg [28]2 years ago

7 0

Answer:

(1;1)

Step-by-step explanation:

1. if y=2x-1, then it is possible to substitute 2x-1 into the 2d equation:

5x-4(2x-1)=1, ⇒ 5x-8x+4=1, ⇔ -3x=-3, ⇔ x= 1;

2. if x=1, then y=2x-1=2-1= 1.

3. the required pair is (1;1)

You might be interested in

The areas of the squares adjacent to two sides of a right triangle are shown below

Dahasolnce [82]

Answer:

The area of the square is 85 units^2

Step-by-step explanation:

Okay, here in this question, we are interested in calculating the area of the unknown square.

Kindly note that, since each of the other shapes are squares too, it means that the length of their sides is simply the square root of their areas.

Thus, the length of the squares are ;

√35 units and √50 units respectively

Now to find the area of the larger square, we employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides

Let’s call the unknown length X

x^2 = (√35)^2 + (√50)^2

x^2 = 35 + 50

x^2 = 85

x = √85 units

Now as we know that the area of a square is simply the length of the side squared,

The area of the biggest square is simply (√85)^2 = 85 units^2

8 0

3 years ago

one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find th

9966 [12]

Answer:

$Area = 968000cm^2$

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

$Length = 12.8m$

$Breadth = 850cm$

For the bed, we have:

$Length = 300cm$

$Breadth = 400cm$

First, we calculate the surface area of the room.

$A_1 = 12.8m * 850cm$

Convert all units to cm

$A_1= 12.8*100cm * 850cm$

$A_1= 1 088 000 cm^2$

Next, we calculate the area of the bed

$A_2 = 300cm * 400cm$

$A_2 = 120000cm^2$

The area of the space left is the difference between A1 and A2

$Area = A_1 - A_2$

$Area = 1088000cm^2 - 120000cm^2$

$Area = 968000cm^2$

5 0

2 years ago

Help me anyone please

alexandr402 [8]

Question #1: Abby ended her walk at school.

Question #2: Abby and Bryan walk 9 blocks after school together to go to the grocery store and the park. After they leave the park, Bryan has to walk 5 blocks, and Abby has to walk 9 blocks to get home. Therefore Abby has to walk 4 more blocks than Bryan does.

Answer: 4 Blocks.

7 0

3 years ago

Find a12 given the geometric sequence 4, 8, 16, 32, ...

SSSSS [86.1K]

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>

Sequences are series of elements generated according to at least one condition, usually equations. geometric sequences are generated according to a exponential formulas, whose form and characteristics are described below:

f(n) = a · bⁿ ⁻ ¹ (1)

Where:

a - First element of geometric sequence
b - Common ratio of the geometric sequence
n - Element index within the geometric sequence

If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:

f(12) = 4 · 2¹² ⁻ ¹

f(12) = 4 · 2¹¹

f(12) = 4 · 2,048

f(12) = 4,096

The twelfth element of the geometric sequence is equal to 4,096. (Correct choice: D)

To learn more on geometric sequences: brainly.com/question/4617980

#SPJ1

6 0

1 year ago

Help with these plz thanks

asambeis [7]

10x = 5 Answer: x = 1/2

−5 = x + 6 Answer: x = -11

22 = 22x Answer: x = 1

0 = −7x Answer: x = 0

−x = 7 Answer: x = -7

x/4 = 1/2 Answer: x = 2

x/5 = 20 Answer: x = 100

x/-2 = -5 Answer: x = 10

5x = 55 Answer: x = 11

−3x = 18 Answer: x = -6

12 = x -6 Answer: x = 18

7 0

3 years ago