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4 years ago

Find the vertex of y=(x-3)^2

Mathematics

1 answer:

Elza [17]4 years ago

3 0

The vertex form of parabola is,

$y=a(x-p)^2+q$

Where $(p,q)$ is vertex point.

In this case our parabola is given by,

$y=1(x-3)^2+0$

Hence the vertex is at $(3,0)$ .

Hope this helps.

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A metronome is a device that ticks at adjustable intervals to help keep time when playing music. the metronome on ryan’s piano h

Andru [333]

When the metronome was created out of a piece of solid wood, the minimum amount of solid wood that was used from the pyramid will be C. 540 centimeters cubed.

<h3>How to calculate the pyramid?</h3>

From the information given, the metronome ticks at adjustable intervals to help keep time when playing music.

In rhis case, when the metronome was created out of a piece of solid wood, the minimum amount of solid wood that was used from the pyramid will be:

= 20 × 9 × ✓9

= 20 × 9 × 3

= 540

Learn more about pyramid on:

brainly.com/question/218706

#SPJ4

6 0

2 years ago

Read 2 more answers

Please help me with this

MissTica

Well its pretty hard let me see its 8 by cm and 27 by aera

8 0

3 years ago

Which expression has a value of 35 when p = 7?

makvit [3.9K]

Answer:

Step-by-step explanation:

if p=7, 5p=35

6 0

3 years ago

Read 2 more answers

Please help me!! Fake answers will be reported

Fantom [35]

Answer: Now, I'm not so sure about the identify and inconsistent part, so I took a guess. Sorry if I'm wrong!

a. x = -8 (identify)

b. x = 6 (identify)

c. x = <em>5 = -1</em> (inconsistent)

d. x = 6 (identify)

d. (the second d; it looks like there are 2 <em>d</em>'s) x = 5 (identify)

e. 1 = -1 (inconsistent)

f. x = $\frac{2}{3}$ (identify)

g. x = -3 (identify)

h. 5x+5 = 5x+5 (identify)

i. I don't know, sorry :/

Step-by-step explanation:

a. 7x +5 = 2x - 35

-2x -2x (Subtract the smaller number with the x)

5x +5 = -35

-5 -5

5x = -40

x = -8 (Divide 5 with 5x and -40)

b. $\frac{x}{3}$ - 7 = -5

x - 21 = -15 (Multiply 3 with x/3, -7, and -5)

x = 6

c. 4x +5 = 4x -1

-4x -4x

5 = -1

d. $\frac{5(x-3)}{2}$ -1 = 14

10(x-3) -2 = 28 (Multiply all numbers by 2)

10x -30 -2 = 28 (Combine -30 and -2)

10x -32 = 28

+32 +32

10x = 60

x = 6

d. 3 (x-1) +2 = x+9

3x -3 +2 = x+9

3x -1 = x+9 (Subtract x from both sides b/c x is basically 1x)

-x -x

2x -1 = 9

+1 +1

2x = 10

x = 5 (Divide 2 from both sides)

e. 4x-(2x-1) = x+5+x-6

4x -2x +1 = x+5+x-6 (Mulitply the negative sign w/ 2x and -1. The negative sign is basically a -1. So, a negative times a negative is a positive)

2x+1 = 2x -1 (You can stop here or keep going)

-2x -2x

1 = -1

f. 5(2x-6)+2=(4x+3)=8x-9

10x-30+8x+6 = 8x-9

18x - 24 = 8x - 9

+24 +24

18x = 8x + 15

-8x -8x

10x = 15 (Divide 10 by both sides)

x = $\frac{2}{3}$

g. $\frac{2x+5}{6}$ = $\frac{x}{18}$

6x = 18(2x+5)

6x = 36x+90

-6x -6x

0 = 30x + 90

-90 -90

-90 = 30x (Divide 30 by both sides)

-3 = x

h. $\frac{10x-4}{2}$ +7 = 5(x+1)

$\frac{2(5x-2)}{2}$ +7 = 5(x+1) (The 2 cancels out)

5x - 2 + 7 = 5(x+1) (Combine like terms and do distributive property)

5x+5 = 5x+5 (We can stop here because each side is the same)

i. I'm so sorry, I don't quite know :/

3 0

3 years ago

The equation of motion of a particle is s = t3 − 3t, where s is in meters and t is in seconds. (Assume t ≥ 0.) (a) Find the velo

Fynjy0 [20]

Answer:

a) $v(t) = 3 \cdot t^{2} - 3\\a(t) = 6 \cdot t$ , b) $a(3) = 18\,\frac{m}{s^{2}}$ , c) $a(1) = 6\,\frac{m}{s^{2}}$

Step-by-step explanation:

a) The velocity and acceleration function are obtained by deriving the displacement function once and twice, respectively:

$v(t) = 3 \cdot t^{2} - 3\\a(t) = 6 \cdot t$

b) The acceleration of the particle at such instant is:

$a(3) = 18\,\frac{m}{s^{2}}$

c) The time when velocity is zero is:

$3\cdot t^{2} - 3 = 0\\t^{2}-1 = 0\\t^{2}=1\\t = 1$

The acceleration is:

$a(1) = 6\,\frac{m}{s^{2}}$

6 0

3 years ago