In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.

Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.

What is the area of the quadrilateral
Q
R
U
T
?

9514 1404 393

Answer:

  f(1) = -2

Step-by-step explanation:

Put 1 where x is and do the arithmetic.

  f(1) = -4·1 +2

  f(1) = -4 +2

  f(1) = -2

Answer: C

Step-by-step explanation:

-3 is least than -2

Answer:

D. Would be your answer :)

Step-by-step explanation:

i like your pfp, taiga is so cute ^^

Answer:

Mean: 12.857

Median: 13

Mode: 15

Range: 9

Step-by-step explanation:

First, let's define what each of these terms mean.

Mean is the average of all the numbers in a set of data. Median is the number in the middle of a set of data after being put in ascending order. Mode is the number most frequently seen in a set of data. Range is the difference between the largest and the smallest number in a set of data.

First, let's go ahead and put all our terms in ascending order. It'll look like this: 8, 10, 12, 13, 15, 15, 17.

To find our mean, we'll add up all the terms and divide them by how many there are. First, we'll add up 8 + 10 + 12... and so on for a total of 90. Next, we'll divide 90 by 7 since there are 7 different terms in our set. 90 / 7 should roughly give you a mean of 12.857, but you can round it as needed.

Next, we'll find the median. The median is the number that is in the exact middle of a set once the terms are put in ascending order. Since, we put our terms in order already, we can see that the number in the middle of our set is 13, and I underlined it in the set to give you a visual!

Next, we'll find the mode. The mode is the number most frequently seen in our set of data. Since 15 is listed the most frequently (twice) it is our mode!

Finally, we'll find the range. The range is just the biggest number minus the smallest number. Our biggest number here is 17, and our smallest number here is 8. Just do 17 - 8 for a range of 9. Let me know if you have any other questions!

Answer:

B. showing that AD^2 + DC^2 = AC^2

Step-by-step explanation:

Pythagorean theorem formula: a^2 + b^2 = c^2

^^^^thats all i know, i got the answer from my teacher tho lol

Answer: 16 units

Since both Y Values are the same, look at the X values. 10 and -6. How far apart is 10 from -6? (10 - (-6) = 16)

16 units, good luck!

Answer:

We know that:

csc(x) = 1/sin(x)

Now we want to work with:

2csc(x+y)

The first step is:

2csc(x+y)= 2/sin(x-y)

This is correct so far.

Now we need to use the relation:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Then:

sin(x - y) = sin(x)*cos(-y) + sin(-y)*cos(x)

sin(x) is an odd function, then: sin(-y) = -sin(y)

and cos(x) is an even function, then:

cos(-y) = cos(y)

Then we get:

sin(x - y) = sin(x)*cos(y) - sin(y)*cos(x)

then:

2/sin(x-y) = 2/(sin(x)*cos(y) - sin(y)*cos(x))

Now let's look at what she did:

2/sin(x-y) = 2/(cos x cos(-y)+sin xsin(-y))

Here is her error, she replaced:

sin(x - y) by cos x cos(-y)+sin(x)sin(-y)

This relation is for the cosine function, not the sine one, so here is her mistake.

Answer:

[tex]sin(\alpha -\beta )\neq cos \alpha[/tex] [tex]cos\beta +sin\alpha[/tex] [tex]sin\beta[/tex]

Step-by-step explanation:

I just did the test

Answer:

5 x 1/5 = 1 whole

The key word "of" means multiplication.

Answer:

19

Step-by-step explanation:

product is the answer of multiplying two numbers together

342/18=19

check

19x18=342

9514 1404 393

Answer:

  (2/3)(e^t +1)^(3/2)

Step-by-step explanation:

Use the substitution ...

  u = e^t +1

Then du = e^t and you are finding the integral of ...

  ∫u^(1/2)·du

which you know by the power rule is ...

  (2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)

Answer:

The range is 34!

Step-by-step explanation:

87-53=34

Answer:

34

Step-by-step explanation:

Hope this helps.

Answer: 11a+4b+3

Step-by-step explanation: 4(5a+b)−9a+3

(4)(5a)+(4)(b)+−9a+3

20a+4b+−9a+3

(20a+−9a)+(4b)+(3)

11a+4b+3

Answer:

-6p+9q

Step-by-step explanation:

Multiply -3 with 2p and multiply -3 with 3q.

Answer:

-3(3+20w)

Step-by-step explanation:

Factor the expression

Answer:

0.4 pounds

Step-by-step explanation:

10 pounds / 25 square feet

to get the number of pounds per feet

10 / 25 = 0.4

so, your answer is 0.4 pounds per 1 square foot

Answer:

1:1.5

Step-by-step explanation:

i dont know if thats the answer u want but ye

Answer:

x is 8........ correct answer

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation:

Answer:

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour.

This means that after x hours, the value of Stock A is:

[tex]S_{A}(x) = 12.95 + 0.12x[/tex]

After noon:

Noon is 3 hours after 9 AM, so

[tex]S_{A}(3) = 12.95 + 0.12*3 = 13.31[/tex]

So in x hours after noon, the value is given by:

[tex]S_{A}(x) = 13.31 + 0.12x[/tex]

At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour.

This means that after x hours, the value of Stock B is:

[tex]S_{B}(x) = 13.70 - 0.13x[/tex]

In how many hours will the prices of the two stocks be the​ same?

This is x for which:

[tex]S_{A}(x) = S_{B}(x)[/tex]

[tex]13.31 + 0.12x = 13.70 - 0.13x[/tex]

[tex]0.25x = 0.39[/tex]

[tex]x = \frac{0.39}{0.25}[/tex]

[tex]x = 1.56[/tex]

The prices of the two stocks will be the same in 1.56 hours.

Answer:

its b on edge 2020

Step-by-step explanation:

Answer: just multiple the numerator and denominator by the same number

Step-by-step explanation:

Answer:

y = 15, x = 4

Step-by-step explanation:

Hope this helped!

Answer:

y+15x=4

Step-by-step explanation:

Answer:

8.95 × 10^7

¡Que tengas un hermoso día!

Answer: 44sq

Step-by-step explanation:

Trust me :)

Answer:

0.006

Step-by-step explanation:

Answer:

0.006 inches of rain

Hope that helps

Answer:

plot 1 on the y axis first, go up one point, to the right 3, then keep this pattern going

Step-by-step explanation:

next plug in x values (1/3x)

D= domain, which is located on the x axis

for this reason, substitute D values for x