What is the area of the trapezoid shown below?​

Answer:

the answer to the question is = -9/35

Answer:

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Step-by-step explanation:

Given

[tex]t \to time[/tex]

[tex]f \to figurines[/tex]

Required

Determine the function

From the question, we have:

[tex]60\ minutes \to 9\ left[/tex]

This is represented as:

[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]

If he spends 20 minutes on 1 figurine;

[tex]20\ minutes = 1\ figurine[/tex]

Multiply both sides by 3

[tex]60\ minutes = 3\ figurines[/tex]

This means that, he spends 60 minutes on 3

plus he still has 9 left

So, the initial figurines is:

[tex]f(0) =3 + 9[/tex]

[tex]f(0) =12[/tex] or [tex](0,12)[/tex]

So, we have:

[tex](60,9)[/tex] and [tex](0,12)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12- 9}{0 -60}[/tex]

[tex]m = \frac{3}{ -60}[/tex]

[tex]m = -\frac{1}{20}[/tex]

The equation is then calculated as;

[tex]f(t) = m * t + c[/tex]

[tex]f(t) = -\frac{1}{20} * t + c[/tex]

[tex]f(t) = -\frac{1}{20}t + c[/tex]

To solve for c, we have:

[tex]f(60) = 9[/tex]

So, we have:

[tex]9 = -\frac{1}{20} * 60 + c[/tex]

[tex]9 = -3 + c[/tex]

Add 3 toboth sides

[tex]c =12[/tex]

Hence, the equation is:

[tex]f(t) =-\frac{1}{20} t + c[/tex]

[tex]f(t) =-\frac{1}{20} t + 12[/tex]

Answer:

f=-1/20t+12

Step-by-step explanation:

khan

Answer:

-32

Step-by-step explanation:

Firstly, what we have to do is to multiply g(x) by h(x)

We have this as;

2x(x^2 + 4)

We then proceed to substitute the value of x with -2 as follows

2(-2)(-2^2 + 4)

= -4(8) = -32

Vertical stretch

Hope this helps! :)

Answer:

Tipo de función: Función Constante o Función Polinómica de Orden Cero

Dominio: [tex]Dom \{f(x)\} = \mathbb{R}[/tex]

Codominio: [tex]Ran \{f(x)\} = 4[/tex]

Asíntota: [tex]y = 4[/tex]

Raíces: No tiene.

Vértices: No tiene.

La tabla de valores y el gráfico se encuentran adjuntos al fondo.

Step-by-step explanation:

Sea [tex]f(x) = 4[/tex], el cual representa a una Función Constante o Función Polinómica de Orden Cero, cuyos dominio y codominio son [tex]Dom \{f(x)\} = \mathbb{R}[/tex] y [tex]Ran \{f(x)\} = 4[/tex]. No tiene vértices. Esta función tiene una asíntota horizontal coincidente con la función ([tex]y = 4[/tex]) y carece de raíces al ser [tex]f(x) \ne 0[/tex] para todo [tex]x\in \mathbb{R}[/tex].

Finalmente, agregamos una tabla de valores y la gráfica asociada a la función:

x         -2         -1         0         1          2

y         4          4         4         4         4

Answer:

24

Step-by-step explanation:

ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.

therefore 4x6= 24

Answer:

19.1628873772

Step-by-step explanation:

50.70500 ÷ 2.64600 = 19.1628873772

Answer:

Step-by-step explanation:

x2

Answer:

3x

Step-by-step explanation:

3x^2 - 6x / x - 2

3x(x - 2) / x-2

cancels out

3x

Answer:

14

Step-by-step explanation:

area = lb

4*3 or 6*2 or 1*12

perimeter= 14,16,26

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

Answer:

read the comments i cant help you yet but if you read the comments and do what they say then i can help you

Step-by-step explanation:

Answer:

Decay rate of 2%

Step-by-step explanation:

Since there is no information about the units for time, merely stating that the decay rate is 2% will suffice. The decay rate for when r < 1 is found by finding 1-r, so the rate of decay is .02, or 2%.

Answer:

The answer is 47

Step-by-step explanation:

Answer:

(2,5)

Step-by-step explanation:

y= 4x-3

y=-2x+9

-------------------------

 4x-3=-2x+9

6x-3=9

6x=12

x=2

-----------------

y = 4(2)-3

y =8 -3

y=5

(2,5)

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

Uh, I think I did this one… good luck ;p

Answer: It is a 3% chance

[tex]\sf\purple{x\:=\:2}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{x}{4} = \frac{3}{6} \\ \\ ➪ \: x = \frac{1 \times 4}{2} \\ \\ ➪ \: x = \frac{4}{2} \\ \\ ➪ \: x = 2[/tex]

Therefore, the value of [tex]x[/tex] is 2.

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] \frac{x}{4} = \frac{3}{6} \\ \\➪ \: \frac{2}{4} = \frac{3}{6} \\ \\ ➪ \: \frac{1}{2} = \frac{1}{2} \\ \\➪ \: L.H.S.=R. H. S [/tex]

Hence verified. ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

72

Step-by-step explanation:

67+5= 72

Answer:

third side = 6

Step-by-step explanation:

third side is hypotenuse as it is opposite to 90 degree

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotense)^2

5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2

25 + 11 = hypotenuse^2

36 = hypotenuse^2

[tex]\sqrt{36}[/tex] = hypotenuse

6 = hypotenuse

Answer: one outta a mil

Step-by-step explanation:

Answer:

- [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{8} }[/tex] = - [tex]\frac{8}{3}[/tex]

Answer:

10.35miles/hour

Step-by-step explanation:

(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35

(Application of division)

Answer:

10.35 mph

Step-by-step explanation:

(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35

Answer:

k = - 5

Step-by-step explanation:

Given that (x - 1) is a factor of p(x) then p(1) = 0, that is

2 - 3 + 6 + k = 0

5 + k = 0 ( subtract 5 from both sides )

k = - 5

Answer:

[tex]b. \: \: 32[/tex]

Step-by-step explanation:

[tex]4(x - 2)[/tex]

[tex]4(10 - 2)[/tex]

[tex]4(8)[/tex]

[tex]32[/tex]

Answer: The triangles are congruent by the HL theorem

HL = hypotenuse leg

======================================================

Explanation:

Through the segment addition postulate, we can say:

WZ = WT+TZ

YT = TZ+ZY

Notice how both WZ and YT have TZ as part of their segments.

Since WZ and YT are the same length, we can then say,

WZ = YT

WT+TZ = TZ+ZY

WT = ZY

I used substitution for the second step.

The last step is where I subtracted TZ from both sides, and they canceled out.

---------------------

We have the following info:

Normally, the conclusion from here would be "not enough info" because this is a SSA case. Note how the angles are not between the congruent sides. So we wouldn't use SAS.

However, despite us having SSA, it doesn't mean we can't keep going. The reason why is because we have two right triangles. So we can use the HL theorem instead. Statement 1 above refers to the L of HL, while statement 2  is the H.

HL = hypotenuse leg

Again, HL only works for right triangles. It's the only time we can use SSA to prove right triangles are congruent; otherwise, SSA is not a valid congruence theorem.

Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

Answer:

D. 2√2

Step-by-step explanation:

In a 45° 45° 90° triangle, the hypotenuse is the leg length multiplied by √2. So divide by √2 to find x.

x = 4/√2 = 2√2

Answer:

4

Hope that this helps!