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3 years ago

Three words that are synonyms to roots

Mathematics

1 answer:

grigory [225]3 years ago

4 0

Answer:

Essence

Stem

Seed

Step-by-step explanation:

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Ming throws a stone off a bridge into a river below.

AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

$h(x)=-5(x-1)^2+45$

Lets expand this in the form $ax^2+bx+c$ , so we have:

$h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40$

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

$x=-\frac{b}{2a}$

We know a and b, let's find the seconds, x,

$x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1$

Hence,

1 seconds after being thrown, the stone reach its max height

6 0

4 years ago

Read 2 more answers

What is the volume of the cylinder shown below?

sveta [45]

Answer:

1008pi

Step-by-step explanation:

the formula for volume of a cylinder is pi r squared h

V equals 144 * 7 * pi

7 0

3 years ago

Pythagorean Theorem & irrational Numbers Question

Arisa [49]

Answer:

2nd

Step-by-step explanation:

6 0

3 years ago

What is the y-intercept, axis of symmetry and vertex of the following function.

Pepsi [2]

Complete the square:

F(x) = -3x² - 6x - 5

F(x) = -3 (x² + 2x) - 5

F(x) = -3 (x² + 2x + 1 - 1) - 5

F(x) = -3 ((x + 1)² - 1) - 5

F(x) = -3 (x + 1)² + 3 - 5

F(x) = -3 (x + 1)² - 2

The y-intercept has x-coordinate equal to 0, so it corresponds to the value of F(0) :

F(0) = -3 (0 + 1)² - 2 = -3 - 2 = -5

The axis of symmetry is the vertical line running through the vertex of this parabola, so we'll come back to this.

The vertex of the parabola is (-1, -2). This represents the maximum value of F(x), which follows from

(x + 1)² ≥ 0 ⇒ -3 (x + 1)² ≤ 0 ⇒ -3 (x + 1)² - 2 ≤ -2

This is to say, every point on the parabola has a y-coordinate no greater than -2.

As mentioned earlier, the axis of symmetry is the vertical line through the vertex, and its equation is determined by the x-coordinate of the vertex. Hence the AoS is the line x = -1.

4 0

2 years ago

Read 2 more answers

To get the echo of a positive integer, we write it twice in a row without a space. For example, the echo of 2022 is 20222022. Is

Lynna [10]

The echo number 20222022202220222022 is the perfect square of 4496890281.

<h3>What echo number is a perfect square</h3>

An echo number has a perfect square if its square root is also a natural number. After some iterations we found that echo number 20222022202220222022 is a perfect square:

$\sqrt{20222022202220222022} = 4496890281$

The echo number 20222022202220222022 is the perfect square of 4496890281. $\blacksquare$

To learn more on natural numbers, we kindly invite to check this verified question: brainly.com/question/17429689

8 0

3 years ago