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rewona [7]
2 years ago
13

Which statement describes the solution(s) to the system of equations 2 x − 3 y = − 10 and − 6 x + 9 y = − 10 ?

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
3 0
X = 3/2 or 1 1/2

Both of the equations equal -10, therefor the equations are equal.
You might be interested in
Geometry Pythagorean theorem
lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
  • => y = 5.3 (Rounded) units

Now, let's find the value of the variable x using multiplication.

  • x = 2y
  • => x = 2(5.3)
  • => x = 10.6 units

Answer (Nearest tenth)

  • x = 10.6 units
  • y = 5.3 units
<h3>________________________________________________</h3>
5 0
2 years ago
Hoping to be named Salesperson of the Month, Luther called the names from 1/4 of a page of the phone book last week. This week,
muminat

Answer:

3/4

Step-by-step explanation:

Fraction of names called last week = 1/4 of a page

Fraction called this week = 1/2 of a page

The number of pages worth of people called ;

This is an addition problem, as the total will be the sum. Of the fractions called this week and last week

Hence,

Total page worth of names called :

(1/4 + 1/2) = (1 + 2) / 4 = 3/4

3 0
2 years ago
The probability of A is 7/20, the probability of A intersection B is 49/400 what is the probability of B?
tino4ka555 [31]

Answer:

n(A)+n(B)-49/400=n(AUB)

n(B)=1-7/20+49/400

n(B)=(400+49-140)/400

n(B)=309/400

5 0
3 years ago
A square has an area of 561.69m2. Work out the perimeter of the square.
lara [203]

Answer:

The answer is 94.8 m

Step-by-step explanation:

Area of a square is a²

So, 23.7² = 561.69 m²

The side of the square is equal to 23.7 m

Perimeter of a square is the side multiplied by 4

So we have that 23.7 x 4 = 94.8 m

4 0
3 years ago
Cuantos años hay que tener un capital de 8500 euros a un redito de 3,75% para que produzca un interes de 2868,75 euros?
Rainbow [258]

Respuesta:

9 años

Explicación paso a paso:

Dado :

Capital = Principal, P = 8500 €

Rendimiento, tasa, r = 3,75%

Intereses, i = 2868,75 €

Para obtener el plazo, número de años que se necesitarán para devengar un interés de 2868,75 € sobre un capital de 8500 € al tipo del 3,75%;

Interés = principal * tasa * tiempo

2868,75 € = 8500 € * 0,0375 * t

2868,75 € = 318,75 billones €

t = 2868,75 € / 318,75 €

t = 9

Por lo tanto, tomará un período de 9 años.

4 0
3 years ago
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