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Arada [10]
3 years ago
14

I need to know asap plz

Mathematics
2 answers:
wolverine [178]3 years ago
7 0
Distributive property
IceJOKER [234]3 years ago
3 0
This equation uses the distributive property.
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The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a re
svetoff [14.1K]

Answer:

12 inches

Step-by-step explanation:

5 + 5 = 10

34 - 10 = 24

24 ÷ 2 = 12

Therefore, the answer is 12 inches.

7 0
3 years ago
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

  • 9b² + a² = 1 ²× a²b²
  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
8 0
3 years ago
What is the diameter of a circle if the circumference is 11?​
Gennadij [26K]

Answer:

d≈3.5

Step-by-step explanation:

d= C/π =11/π≈3.50141

Brainliest plz

7 0
3 years ago
Which method could be used to prove they are similar?<br> 1.5<br> 3<br> 4.5<br> Jy
Veronika [31]

Answer:

Prove what is similar?????

5 0
2 years ago
Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair
Greeley [361]
As pair means that 2 socks with the same color need to be drawn for it to be identified as a pair.
However there is a probability that if u only pick 2 socks, then they could kid each have different COLORS.
By picking 3 socks (bearing in mind there are only 2 types of color) it’s guaranteed that two socks will have the same color.
5 0
2 years ago
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