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3 years ago

Triangle similarity

Mathematics

1 answer:

suter [353]3 years ago

5 0

$\frac{RT}{WY} = \frac{RS}{WX} = \frac{ST}{XY}$

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Please help 5x^2+21x+4

SVEN [57.7K]

Answer:

(5x+1) (x+4)

Step-by-step explanation:

8 0

2 years ago

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Write an equation in slope intercept form for the line through the two points

Musya8 [376]

$m= \frac{y2-y1}{x2-x1} \\ \\ m= \frac{-2-2}{2-(-2)} \\ \\ m= \frac{-4}{4} \\ \\ m=-1$

$y=mx+b \\ \\ y=-1x+b$

$(2)=(-1)(-2)+b \\ \\ 2=2+b \\ \\ 0=b$

$y=-1x+0 \\ \\ y=-x$

5 0

3 years ago

A theater rents their space for $300 per night. If the company charges $9 per ticket, then what is the least number of tickets t

vitfil [10]

Answer:

Company needs to sell at least 34 tickets in order to make a profit.

Step-by-step explanation:

Given:

Rent for the space = $300

Cost per tickets = $9

Let the number of tickets sold be 'x'

We need to find the least number of tickets to be sold to make profit

Now total profit can be made if amount which is made after selling number of tickets is greater than 300.

Hence the equation can be framed as,

$9x\geq300$

Solving the equation to find the value of x we get;

We will use Division property and divide both side by 9 we get;

$\frac{9x}{9}\geq\frac{300}{9}\\\\x\geq33.33$

Tickets which need to be sell cannot be in point value hence rounding to whole number we get;

$x\geq34$

Hence Company needs to sell at least 34 tickets in order to make a profit.

6 0

3 years ago

What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm?

strojnjashka [21]

The volume of a pentagonal prism that has a base area of 5.16 cm^2 and a height of 9cm is 46.44cm^3

Have fun!

4 0

3 years ago

Read 2 more answers

A media company wants to track the results of his new marketing plan so the video production manager recorded the number of use

konstantin123 [22]

Answer:

$f(x)=5120(5)^{x}$

Step-by-step explanation:

From the image, f(x) and x are rlated by

$f(x)=a( {b})^{x}$

where b is the common ratio

We first find the value for b

$\frac{6400}{5120}= 5$

$\frac{8000}{6400}= 5$

$\frac{10000}{8000} = 5$

$\frac{12500}{10000} = 5$

$\frac{15625}{12500}=5$

so we can say the common ratio, b=5

we put in any value of f(x) and the corresponding value for x to find a value

Let put x=0 and f(x)=5120

This implies that

$5120 = a(5)^{0}$

but

$5^{0} = 1$

Hence a=5120

Thus the equation which model the relationship between the weeks and the viewers is

$f(x)=5120(5)^{x}$

6 0

3 years ago