Find the product. (x2+3x+7)(x^7)= Please help :)

Find all possible values of x in the similar triangles pqr stu

antoniya [11.8K]

If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5

5 0

3 years ago

In order to develop a more appealing cheeseburger, a franchise uses taste tests with 9 different buns, 8 different cheeses, 4

Nesterboy [21]

Answer:

8,640 minutes

Step-by-step explanation:

Re-read the question: "How long would it take the test to eat all possible cheeseburgers?"

What are they asking for?

Answer: Total time test all possible burgers

We can break down the answer into a multiplication:

Total time to test all possible burgers =

Time to test each burger x Number of possible burgers

A) Time to test each burger is given - 10 minutes.

B) Number of possible burgers is essentially the total number of combinations of toppings you can have. The order of toppings doesn't matter, so this problem is called a "Combination Problem," as opposed to a "Permutation Problem" which is a problem when order matters.

How do we solve Combination problems?

Just multiply the quantity of each option.

Number of combinations of burger toppings = # bun types x # cheese types x # lettuce types x # tomato types

Number of combinations of burger toppings = 9 x 8 x 4 x 3 = 864

Now plug this into the original equation

Total time to test all possible burgers

= time to test each burger x number of possible burgers

= 10 minutes x 864 possible options

= 8,640 minutes

7 0

4 years ago

What two numbers can equal to 70 when added in 34 when subtracted.

lina2011 [118]

Answer:

18 and 52

Step-by-step explanation:

x + Y = 70

X - Y= 34 find the value of X interms of Y to find the answer:

X - Y= 34

X = 34 +Y

x + Y = 70

(34 + Y ) + Y = 70

34 + Y +Y = 70

2Y =70-34

2Y/2=36/2

Y = 18

x + 18 = 70

x=70 - 18

x= 52

check:

18 + 52= 70

52 - 18= 34

3 0

3 years ago

Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of Star City’s re

klio [65]

Yes it would be because they prop probably mostly all Like Sports

5 0

4 years ago

Read 2 more answers

A student solved this problem by making a table.

bagirrra123 [75]

Hello! I can help you with this! For this problem in order to find the amount of months it will take for them to have the same amount of money, we can write and solve an equation.

1. Okay. Amira has $80, and saves $40 a month. Max has $40 and saves $50 a month We have the numbers, so we can write the equation. Set it up like this:

80 + 40x = 40 + 50x

We set it up like this, because each girl has some money, but they're saving more to add to the total. Let's start solving. Subtract 40x from both sides. 40x - 40x cancels out. 50x - 40x is 10x. That shortens to 80 = 40 + 10x. Subtract 40 to get both sides by themselves. 40 - 40 cancel out. 80 - 40 is 40. That simplifies to 40 = 10x. Now, divide each side by 10 to isolate the x. 10x/10 cancel out. 40/10 is 4. Let's test this out and see if it works. 40 * 4 is 160. 160 + 80 is 240. 50 * 4 is 200. 200 + 40 is 240. 240 = 240. There. x = 4. Amira and Sasha will have the same amount of money in 4 months.

4 0

3 years ago