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3 years ago

What is the y-intercept of y = -3x

Mathematics

1 answer:

vlabodo [156]3 years ago

8 0

Answer:

X=0

Step-by-step explanation:

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Y = 3x x + y = 52 substitution method help quick show all work

AfilCa [17]

Answer:

$x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39$

8 0

3 years ago

Use the disk method or the shell method to find the volumes of the solids generated by revolving the region bounded by the graph

diamong [38]

Answer:

a) 8π

b) 8/3 π

c) 32/5 π

d) 176/15 π

Step-by-step explanation:

Given lines : y = √x, y = 2, x = 0.

a) The x-axis

using the shell method

y = √x = , x = y^2

h = y^2 , p = y

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {y.y^2} \, dy$

∴ Vol = 8π

b) The line y = 2 ( using the shell method )

p = 2 - y

h = y^2

vol = ( 2π ) $\int\limits^2_0 {ph} \, dy$

= $( 2\pi ) \int\limits^2_0 {(2-y).y^2} \, dy$

= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀

∴ Vol = 8/3 π

c) The y-axis ( using shell method )

h = 2-y = h = 2 - √x

p = x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

= $(2\pi ) \int\limits^4_0 {x(2-\sqrt{x} ) } \, dx$

= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀

vol = ( 2π ) ( 16/5 ) = 32/5 π

d) The line x = -1 (using shell method )

p = 1 + x

h = 2√x

vol = $(2\pi ) \int\limits^4_0 {ph} \, dx$

Hence vol = 176/15 π

attached below is the graphical representation of P and h

3 0

3 years ago

HELPPPPP!!!!!!!!!!!!!!!!!!!

8090 [49]

A trinomial is a polynomial with three terms. It can be determined if it is a difference of two squares when you factor it.

The resulting factor of a trinomial that is a difference of two squares is: a² – b² = (a + b)(a – b) or (a – b)(a + b)

You will notice that the middle term is missing. This means that the middle term zeroes out as a result of having the same number of different signs (+ and -)

5 0

3 years ago

What is the equation of the following line?

Irina18 [472]

Answer:

Y=5x

Step-by-step explanation:

slope equation

y-y1

x-x1

10-0=10

2-0=2

10/2=5

7 0

2 years ago

A car drives 120 miles in 2 hours Find the speed

Margarita [4]

Answer:

60 miles per hour

Step-by-step explanation:

Divide 120 miles by 2 hours and you get 60 miles per hour.

5 0

3 years ago

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