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4 years ago

Expand 4(2x-3) Factorise 5n +15

Mathematics

1 answer:

Monica [59]4 years ago

5 0

For the first it should be 8x-12
And the second you would divide both by 5 and end up with n+5

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Graph y ≤ (x + 2)^2.

Vladimir [108]

Graph atached as an image.

3 0

4 years ago

The customer Karen has a white rock. The rock has a mass of 14.3g and a volume of 3.2cm3. What is the density of the rock?

Rainbow [258]

Answer:

<h3>The answer is 4.47 g/cm³</h3>

Step-by-step explanation:

The density of a substance can be found by using the formula

$density = \frac{mass}{volume} \\$

From the question

mass = 14.3 g

volume = 3.2 cm³

We have

$density = \frac{14.3}{3.2} \\ = 4.46875$

We have the final answer as

Hope this helps you

5 0

3 years ago

Read 2 more answers

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neit

sladkih [1.3K]

<h3>Answer: perpendicular</h3>

====================================================

Work Shown:

Use the slope formula to find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (f-0)/(e-0)

m = f/e

Let p = f/e so we can compare the slope later

---------------

Use the slope formula to find the slope of line CD

m = (y2-y1)/(x2-x1)

m = (0-e)/(f-0)

m = -e/f

Let q = -e/f so we can compare the slope later

---------------

We have

p = f/e which is the slope of AB
q = -e/f which is the slope of CD

Multiply the values of p and q

p*q = (f/e)*(-e/f) = (f(-e))/(ef) = (-ef)/(ef) = -1

since p*q = -1, this means the lines AB and CD are perpendicular. They form a 90 degree angle.

5 0

4 years ago

The perimeter of a particular square and the circumference of a particular circle are equal. What is the ratio of the area of th

Tasya [4]

Ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

In terms of fraction $\frac{\pi}{4}$

<em><u>Solution:</u></em>

Given that perimeter of a particular square and the circumference of a particular circle are equal

To find: ratio of the area of the square to the area of the circle

Let the side of square be "a" and radius of circle be "r"

<em><u>The perimeter of square is given as:</u></em>

Perimeter of square = 4a

<em><u>The circumference of circle is given as:</u></em>

Circumference of circle = 2πr

From given,

perimeter of a particular square and the circumference of a particular circle are equal

perimeter of a particular square = circumference of a particular circle

$4a = 2 \pi r\\\\a = \frac{\pi r}{2}$

We need to find the ratio of the area of the square to the area of the circle.

We know that,

$\text{ Area of the square }= a^2\\\\\text{ Area of the circle }= \pi r^2$

Ratio of area of square to area of circle = $a^2 : \pi r^2$

Substituting the value of $a = \frac{\pi r}{2}$ in above ratio,

Ratio of area of square to area of circle = $(\frac{\pi r}{2})^2 : \pi r^2$

On reducing to lowest terms we get,

⇒ $\frac{\pi^2 r^2}{4} : \pi r^2 = \frac{\pi}{4} : 1$

In terms of fraction we get,

$\frac{\pi}{4} : 1 = \frac{\frac{\pi}{4}}{1} = \frac{\pi}{4}$

Thus ratio of the area of the square to the area of the circle is $\frac{\pi}{4} : 1$

3 0

4 years ago

What is the sum of 7452816653 times 23534 and divided by 1423

DIA [1.3K]

The answer is 123,256,912,938.65

4 0

3 years ago