Find the volume of the composite figure

Answer:

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

Answer:

The coefficient of the squared term of the equation is 1/9.

Step-by-step explanation:

We are given that the vertex of the parabola is at (-2, -3). We also know that when the y-value is -2, the x-value is -5. Using this information we want to find the cofficient of the squared term in the parabola's equation.

Since we are given the vertex, we can use the vertex form:

[tex]\displaystyle y=a(x-h)^2+k[/tex]

Where a is the leading coefficient and (h, k) is the vertex.

Since the vertex is (-2, -3), h = -2 and k = -3:

[tex]\displaystyle y=a(x-(-2))^2+(-3)[/tex]

Simplify:

[tex]y=a(x+2)^2-3[/tex]

We are also given that y = -2 when x = -5. Substitute:

[tex](-2)=a(-5+2)^2-3[/tex]

Solve for a. Simplify:

[tex]\displaystyle \begin{aligned} -2&=a(-3)^2-3\\ 1&=9a \\a&=\frac{1}{9}\end{aligned}[/tex]

Therefore, our full vertex equation is:

[tex]\displaystyle y=\frac{1}{9}(x+2)^2-3[/tex]

We can expand:

[tex]\displaystyle y=\frac{1}{9}(x^2+4x+4)-3[/tex]

Simplify:

[tex]\displaystyle y=\frac{1}{9}x^2+\frac{4}{9}x-\frac{23}{9}[/tex]

The coefficient of the squared term of the equation is 1/9.

Answer:

11/8

Step-by-step explanation:

2 3/4 ÷ 4/2

11/4 ÷ 4/2

11/4 × 2/4

22/16

11/8

Answer:

.75 i think but check my explanation first

Step-by-step explanation:

if the problem is 2(3/4 ÷  4/2) it's .75. But if 2 3/4 is a mixed fraction, it should be 1.375.

Answer:

30=7+13+5=

30=25+p

p=30-25=

p=5

Answer:

A

Step-by-step explanation:

change them both to absolute values->

3 and 7->

then compare->

7 is bigger :)

Answer:

7>-3

LeBron's family moved after his brother was born

:)

Answer:

A.

Step-by-step explanation:

Answer:

2 Tons Wood

Step-by-step explanation:

According To Question,

Given,the ratio of the weight of wood to the weight of raw materials used by a factory is 16 : 56 or 2 : 7 .

And, Factory were to use 7 tons of raw materials .

Thus, if 56 ⇒⇒ 7Tons of Raw Material

So,

16⇒⇒2 Tons of Wood Material .

Answer:

£7

Step-by-step explanation:

x - .2x = £5.60

.8(x) = £5.6

x= £5.6/.8

Answer:

Kaden had $17 at first

Step-by-step explanation:

Ben = x

Kaden = x - 10

x + 4

x - 10 + 4 = x -6

x - 6 = [tex]\frac{7}{9}[/tex] x

9(x - 6) = 7x

9x - 54 = 7x

2x = 54

x = 27

x - 10 = 27 - 10 = 17

Answer:

Kaden had $31

Ben had $41

Step-by-step explanation:

k = b - 10

k + 4 = (7/9)(b+ 4)

Substitute for k = b - 10

(b - 10) + 4 = (7/9)(b+ 4)

b - 6 = (7/9)(b+ 4)

multiply by 9 to clear the fraction

9b - 54 = 7(b + 4)

Distribute

9b - 54 = 7b + 28

subtract 7b from both sides

2b - 54 = 28

Add 54 to both sides

2b = 82

Divide both sides by 2

b = 41

k = b - 10

k = 31

Answer:

make y the subject first

Step-by-step explanation:

y=5/7(x) -27/7

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-(-3)=5/7(x-4))

y=5/7(x) -20/7 -3

final answer

y=5/7(x) -41/7

Answer:

15. Area of parallelogram = bh

    b = 9m

    h = 4m

    a = 9*4 = 36m^2

   You can also use the rectangle property here.

    a = l*b

    l = 9

    b = 6

    a = 9*6 = 54 m^2

    Though I would prefer the first one better.

16. Area of triangle = 1/2*bh

    b = 17m

    h = 3

    a = 17*3/2 = 51/2 = 25.5m^2

18. Area of a trapezium = a+b/2*h (a and b are two parallel sides and h the            height)

a = 15

b = 7

h = 15

a = 15+7/2*15 = 22/2*15 = 11*15 = 165m^2

19. Area of triangle = 1/2*bh

    b = 24

    h = 7

    a = 24*7/2 = 168/2 = 84

Hope u understood

Please mark as brainliest

Thank You

Answer:

radius is 8 ft

Step-by-step explanation:

circumference formula is 2pi r

so if the circumference is 16 pi, we divide it by 2 to get 8 pi and divide it by pi to get 8.

Answer:

8  ft

Step-by-step explanation:

The circumference is given by

C = 2 * pi *r

16 pi = 2 * pi *r

Divide each side by 2 pi

16 pi / 2 pi = 2 pi r / 2 pi

8 = r

Answer:

[tex]\frac{28}{3}[/tex]

Step-by-step explanation:

[tex]\frac{8}{5} * \frac{10}{3} * \frac{7}{4}[/tex]

[tex]\frac{80}{15} * \frac{7}{4}[/tex]

[tex]\frac{560}{60}[/tex]

[tex]\frac{140}{15}\\\\= \frac{28}{3}[/tex]

→ (8/5 × 10/3) × 7/4

→ 80/15 × 7/4

→ 560/60

→ 140/15

→ 28/3 cm³

Answer:

what?

Step-by-step explanation:

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

do you mean

6+(-5-7)/2-8(3)?

-5-7= -12

6+-12/2-8(3)

8(3)=24

6+-12/2-24

-12/2=-6

6+-6-24

6+-6=0

0-24= 24

Answer:

Subtract 7 from –5.

Step-by-step explanation:

Answer:

-3/2

Step-by-step explanation:

simply make y the subnext of the equation

Answer:

Step-by-step explanation:

3x - 2y = 18

-2y = - 3x + 18

y = 3/2 x - 9

slope of a parallel line would be M = 3/2

Answer:

x=1, y=2

Step-by-step explanation:

x + 7y = 15

x + 2y = 5

Subtract the two equations

x + 7y = 15

-x - 2y =- 5

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

0x +5y = 10

Divide by 5

5y/5 = 10/5

y =2

Now find x

x+2y = 5

x +2(2) = 5

x +4 = 5

Subtract 4 from each side

x-4+4 = 5-4

x = 1

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { {a}^{2} - {b}^{2} = (a + b)(a - b)}}}}}}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

[tex] \sf {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

This is the required formula.

Answer:

Carlos.

Step-by-step explanation:

Dado que Simón y Carlos tienen una pista de autos iguales, pero cada uno de ellos tiene dos autos que corren a distintas velocidades, y de los autos de Simón uno le da una vuelta completa a la pista en 31 segundos y el segundo lo hace en 17 segundos, mientras que de los autos de Carlos uno da una vuelta completa en 36 segundos y el segundo en 42 segundos, si ambos proponen una competencia en la que todos los autos salen al mismo tiempo de la meta y el ganador será el primero en el que sus dos autos lleguen al mismo tiempo, de nuevo a la meta, para determinar quién ganará se deben realizar los siguientes cálculos:

Simón: 527 SEGUNDOS

A: 31 + 62 + 93 + 124 + 155 + 186 + 217 + 248 + 279 + 310 + 341 + 372 + 403 + 434 + 465 + 496 + 527

B: 17 + 34 + 51 + 68 + 85 + 102 + 119 + 136 + 153 + 170 + 187 + 204 + 221 + 238 + 255 + 272 + 289 + 306 + 323 + 340 + 357 + 374 + 391 + 408 + 425 + 442 + 459 + 476 + 493 + 510 + 527

Carlos: 252 SEGUNDOS

A: 36 + 72 + 108 + 144 + 180 + 216 + 252

B: 42 + 84 + 126 + 168 + 210 + 252

Por lo tanto, el ganador será Carlos.

Answer:

if you divide 1000, 100 and 10 in 16000 , 1900 and 81500 then the value of 6 and 9 is at once place and value of 8 is at thousand place

Answer:

6, 9 & 8150

Step-by-step explanation:

16,000 ÷ 1000 is 6

1900÷100 is 9

81,500÷10 is 8150

Answer:

c.12

Step-by-step explanation:

you do 33-9 which gets you 24. You then divide that by 2 so you get 12.

Answer:

a. Vertically opposite angles

b. corresponding angles

c. Exterior angles

d. Supplementary angles

e. 40 degree

f. 40 degree

Step-by-step explanation:

Answer:[tex]\color{yellow}{}[/tex]

Answer:

80

Step-by-step explanation:

Round 9.82

9.82 = 10

8 × 10 = 80

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Have a great summer :)

Answer:

I think the answer is three.

Answer:

A

Step-by-step explanation:

y = 4x - 4 is a line with y-intercept -4 and slope 1. Both graphs A and C show that line in blue.

y = 4 is a horizontal line through y = 4. Graph A shows that line.

Answer: A

Answer:

a

Step-by-step explanation:

When there is no decomposition, the plant is deficient in minerals.

Answer:

A and D

Step-by-step explanation:

Look at the answer choices as (x,y) so if you multiply the x for the x spot and the y for the y spot, you make sure the it is greater than or equal to 3 and if it is, select that answer.

Answer:

(4x^3 - 9)(4x^3 + 9)

Step-by-step explanation:

16x^6 - 81

write this in the form of a^2 - b^2

(4x^3)^2 - (9)^2

since a^2 - b^2 = (a + b)(a - b) . Write,

(4x^3 - 9)(4x^3 + 9)