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2 years ago

This inequality has a symbol:

Mathematics

1 answer:

wlad13 [49]2 years ago

6 0

Answer:

Because you can't divide by zero.

Step-by-step explanation:

If x = -2, it makes the denominator 0. This will result in the equation being undefined because you can't have zero in the denominator.

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Katie gives Maggie half of her pencils. Maggie keeps 5 and gives the rest to jamil. Write an expression for the number of pencil

Inga [223]

Answer

Write an expression for the number of pencils Maggie gives to jamil.

To prove

Let us assume that the number of pencils Katie have = x

As given

Katie gives Maggie half of her pencils.

$Katie\ gives\ Maggie\ half\ of\ her\ pencils = \frac{1x}{2}$

As given

Maggie keeps 5 and gives the rest to jamil.

Thus

$Number\ of\ pencils\ Maggie\ gives\ to\ jamil = \frac{1x}{2} - 5$

Therefore the expression for the number of pencils Maggie gives to jamil are $\frac{1x}{2} - 5$ .

5 0

2 years ago

Read 2 more answers

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)

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

The volume of a cube is 460cm3.<br> Work out the length of its side rounded to 1 DP.

yaroslaw [1]

The side length is the cube root of 460.

cube root(460) = 460^(1/3)
That's approximately 7.7

7 0

3 years ago

Does 8m, 15m, 23m form a triangle

sammy [17]

Answer:

No it doesn't form the triangle because when we sum up two sides the. it should exceed the this side.

3 0

3 years ago

(6- -6 + 5.3) / -2.25

STALIN [3.7K]

Answer:

346 / 45

Step-by-step explanation:

6 + 6 + 5.3

----

4 0

3 years ago