Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table

Find the side lengths of triangles def ghi and jkl record them in the table

Answer:

y=4x-17

Step-by-step explanation: Distribute the 4(x-5)

4x-20

Then add three to both sides

y=4x-17

Take the Laplace transform of both sides:

L[y'' - 4y' + 8y] = L[δ(t - 1)]

I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :

(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]

s²Y - 4sY + 8Y = exp(-s)

(s² - 4s + 8) Y = exp(-s)

Y = exp(-s) / (s² - 4s + 8)

and complete the square in the denominator,

Y = exp(-s) / ((s - 2)^2 + 4)

Recall that

L⁻¹[F(s - c)] = exp(ct) f(t)

In order to apply this property, we multiply Y by exp(2)/exp(2), so that

Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)

Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)

Then taking the inverse transform, we have

L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]

L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]

L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]

Next, we recall another property,

L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)

where F is the Laplace transform of f, and u(t) is the unit step function

[tex]u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}[/tex]

To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is

L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)

Then we find

L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))

and so we end up with

y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)

Answer:

a. P(male) = 0.4

b. P(no sport and male) = 0.1

c. Unclear question (isn't it the same as b.?)

Step-by-step explanation:

The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;

[tex]\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right][/tex]

a.

[tex]P(male) = \frac{7 + 21}{70} \\\\ = \frac{28}{70} \\\\ = \frac{2}{5}[/tex]

b.

Using the tree diagram in the picture;

[tex]P(no \ sport \ and \ male) = \frac{2}{5} * \frac{1}{4} \\\\ = \frac{1}{10}[/tex]

Answer:

I will what is the question?

Answer:

What is the question lol

Step-by-step explanation:

I can try to help!

Answer:

rude customers and complaints

Answer:

Ignorant managers.

Step-by-step explanation:

Ignore them

Find somewhere else to move.

F(3) occurs when x =3. So lets plug 3 into our equation.

[tex]f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28[/tex]

F(3) = -28

I hope this helps! :)

Answer:

is he a business man or something

Hello! :)

√99=9.95...

π²=9.9

9.8888...

So I think the numbers should be written like this:

9.8888, √99, π²

Hope it helps!

~Just a determined gal

[tex]MysteriousNature[/tex]

Answer:

2.25

Step-by-step explanation:

m = 9 / 4 = 2.25

points belong to an increasing, linear function.

Equation: y = 2.25x + 2.75.

BRAINLIEST?

Reduce the expression, if possible, by cancelling the common factors.

Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]

Decimal form[tex] \: \:- 0.3[/tex]

Answer:

4/12 > simplified to > 1/3

Step-by-step explanation:

hope it helps

Answer:

509.6 calories

Step-by-step explanation:

196+196=392 calories

10g of bacon=19.6 calories

60g of bacon=19.6×6=117.6 calories

392+117.6=509.6 calories

Answer:

The correct answer is (c) 30°

Hope it helps

Answer:

300 km in 5 hours is the rate

unit rate is how much in one unit

in this case the unit is one hour

60km / hour

Answer:−0.6

Step-by-step explanation:

(-1).3/5=−0.6

Answer:

The slope is:

[tex] \binom{1}{2} [/tex]

In slope-intercept form the equation is:

[tex]y = \binom{1}{2} x - 3[/tex]

Answer:

8/25.

Step-by-step explanation:

As a fraction it is 32/100 but simplified is 8/25 :)

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

Answer: C

Step-by-step explanation: Brainliest please

Answer:

51/12 - 23/4

find the LCM of 12 and 4

51-69/12= -18/12= -9/6 = -3/2 = -1.5

A variable is a letter in the equation that can be replaced by a number.

In the equation shown the variable is the letter z.

Answer: A) z

Answer:

I sorry but I don't get this question

Answer:

s = 250

a = 225

Step-by-step explanation:

Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have [tex]a+s=475[/tex]

Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: [tex]s=a+25[/tex]

By graphing, we can let s = y and a = x, so we have the following equations:

[tex]x + y=475\\y=x+25[/tex]

Plugging this into Desmos, we have this: (look at screenshot uploaded)

We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.

Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: [tex]a + (a + 25) = 475[/tex]. Combining like terms, we have [tex]2a+25=475[/tex], and [tex]2a = 450[/tex]. Dividing, we have [tex]a = 225[/tex], and since s is 25 more than 225, we have [tex]s = 250[/tex]

The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.

If the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the tiles that Bruce used were each 1/4 of a square foot in the area and a table shows as,

Number of tiles(y)    6   12   18

Area covered (x)      1     2     3

Felicia tile's relationship between the number of tiles and the area covered is,

(1/6) =(12/2)=(18/3)

y=(1/6)x

The equation of a line to represent y, the area each person covered using x tiles for Bruce is,

y =(1/4)x.

Thus, if the area each person covered using x tiles. Bruce's tiles cover the most area per tile.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Answer:

14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10    14 + 10 = 4

Answer:

14 sections

Step-by-step explanation:

2 1/3=7/3

7/3 divided by 1/6 is nothing but 7/3*6, which is just 14

Answer:

Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);

Step-by-step explanation:

even after a reflection over the x-axis, each points distance from the x-axis will stay the same

the x-coordinates don't change because the distance from the y-axis stays the same

the picture below shows points of Q'R'S'T', just connect the vertices

Answer:

b=114°

.....................

c=43°

Answer:

A) 87 degrees

B) 114 degrees

C) 43 degrees