All categories

2 years ago

Find the x-coordinate of the vertex for y=2x(x+4)

Mathematics

1 answer:

Artyom0805 [142]2 years ago

4 0

Answer:

The x coordinate of the vertex is 0.

Step-by-step explanation:

y=2x(x+4)

y = 2x^2 + 8

Vertex form is

y = 2(x - 0)^2 + 8.

So, the vertex is at (0, 8)

You might be interested in

A circular picture is 8 inches in diameter.

erma4kov [3.2K]

Answer:

Part A :

Area = π*r² = π(d/2)² = π*(8/2)² =

π*4² = π*16 square inches

Part B:

d=8+4 = 12 and r = d/2 = 6 inches

We know :

Area = π*r²

Area = π*6²

=36π

Hope This Answer To Your Question!

8 0

3 years ago

Tran checked the time on his watch after he finished his daily run select the time that Tran finished running mark all that appl

Viefleur [7K]

Answer:

(a) and (b) are correct

Step-by-step explanation:

Given

See attachment for complete question

Required

Select the correct options

A clock is divided into two equal parts.

(1) 1 - 6

(2) 7 - 12

When the hour hand is on (1), then the time is "after"

When the hour hand is on (2), then the time is "before"

From the attached clock, we have:

(1) The hour hand on 9

(2) The minute hand 1 unit above 9 i.e. 46 minutes

(1) implies that, the time is before 9 i.e. past 8

(2) implies that the minutes is (60 - 46) before 9 or 46 minutes after 8

In (1) and (2) above, we have two interpretations.

1: (60 - 46) minutes before 9

This gives:

14 minutes before 9

2: 46 minutes past 8

i.e. 8 : 46

3 0

3 years ago

Absolute value of 2i

andriy [413]

Answer: the absolute value of 2i is 2

Step-by-step explanation:

6 0

3 years ago

There is a high-speed rail track between London and Manchester.

Keith_Richards [23]

Answer:

Step-by-step explanation:

this is the famous dirt formula, :P I made it up :D

D=rt ( notice it looks like Dirt , kinda, but it also means it dirt simple )

D= distance

r = rate ( think speed or how fast)

t = time ( in what ever units of time you want to use, seconds, minutes, hours )

13:28 - 11:20 = 128 minutes ( b/c the question is asking in MPH convert to hours) 2.4666667 hours

210 miles = r * 2.46666667

210 / 2.46666667 = r ( in MPH) ( does anyone else find it odd that they are saying miles in London instead of kilometers? :/ )

85.135 MPH = rate

so no, not even close to 104 MPH :/

7 0

4 years ago

Read 2 more answers

The surface of a hill is modeled by z = 100 − 4 x 2 − 2 y 2 . When a group of hikers reach the point (-3,-2,56) it begins to sno

m_a_m_a [10]

Answer:

(-24, -8)

Step-by-step explanation:

Let us recall that when we have a function f

$\large f:\mathbb{R}^2\rightarrow \mathbb{R}\\f(x,y)=z$

if the gradient of f at a given point (x,y) exists, then the gradient of f at this point (x,y) gives the direction of maximum rate of increasing and minus the gradient of f at this point gives the direction of maximum rate of decreasing. That is

$\large \nabla f=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})$

at the point (x,y) gives the direction of maximum rate of increasing

$\large -\nabla f$

at the point (x,y) gives the direction of maximum rate of decreasing

In this case we have

$\large f(x,y)=100-4x^2-2y^2$

and we want to find the direction of fastest speed of decreasing at the point (-3,-2)

$\large \nabla f(x,y)=(-8x,-4y) \Rightarrow -\nabla f=(8x,4y)$

at the point (-3,-2) minus the gradient equals

$\large -\nabla f(-3,-2)=(-24,-8)$

hence the vector (-24,-8) points in the direction with the greatest rate of decreasing, and they should start their descent in that direction.

7 0

4 years ago