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3 years ago

F(x) = x^2 - 5x+8, g(x) = x^2-4

Mathematics

1 answer:

Rina8888 [55]3 years ago

4 0

Answer:

-5x -12

Step-by-step explanation:

BRAINLIEST PLEASE

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The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

3 0

3 years ago

Read 2 more answers

A newly launched clothing line is rapidly increasing in popularity. Every month 20% more items of clothing are sold. If 70,800 i

prohojiy [21]

Answer:

<u>212,400 items</u> were sold in 10 months.

Step-by-step explanation:

Given:

Items sold this month = 70,800

Percent Increase in every month = 20%

We need to find number of items sold in coming 10 months.

Solution:

First we will find number of items increase in each month.

number of items increase in each month can be calculated by Percent Increase in every month multiplied by Items sold this month and the divided by 100.

number of items increase in each month = $\frac{20}{100} \times 70800 = 14,160$

Now we will find number of item sold in 10 months.

number of item sold in 10 months is equal to sum of Items sold this month and number of items increase in each month multiplied by 10.

framing in equation form we get;

number of item sold in 10 months = $70800+10\times 14160 = 212,400$

Hence <u>212,400 items</u> were sold in 10 months.

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3 years ago

How do you write the sum of triple a number and 6 is 9?

Vedmedyk [2.9K]

U have to add If u want to know the sum

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3 years ago

The graph of a proportional relationship contains the point (20, 4) .

lilavasa [31]

Answer:

x + 24

Step-by-step explanation:

Which of the following has the least steep graph? A. y = 3x - 16 B. y = 2x + 7/15 (7/15 fraction) C. y = 1/2x + 3 (1/2x fraction) D. y = x + 24

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3 years ago

PLSSS HELPP FAST pls pls Name the following polynomial: 5n^3+8n^2 + 3n +7

Romashka [77]

Answer:

cubic polynomial

Step-by-step explanation:

3 is highest exponent and 3 is cubic

there are more than 3 terms, so it's polynomial (poly=many)

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3 years ago