Find the radius of a circle if its center is (2,3) and one point on the circle is (5,3).

Answer:

v= 1/6

Step-by-step explanation:

1. Simiplify 10/3v = 10/3v -5/9= -10v/3

2. Multiply both sides by 3

3. Use this rule : a/b × c = ac/b

4. 5× 3= 15 -15/9= -10v

5. Simiplify 15/9 = 5/3 -5/3 = -10v

6. Divide both side by -10 -5/3/-10=v

7. Two negative make a postive 5/3/10 = v

8. Simplify 5/3/10= 5/3×10

9. Simplify 3×10=30 5/30=v

10. Simplify 5/30 = 1/6v

11. Swith sides v= 1/6

Answer:

y=-5x/4-2

Step-by-step explanation:

4x – 5y = 20

y = (4/5)x - 4

slope is 4/5

let new slope m:

(m)(4/5)=-1

m=-5/4

point slope form:

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

y-3=-5x/4-5

y=-5x/4-2

Answer: 25.0

Step-by-step explanation:

25

Answer:

25

Step-by-step explanation:

0.06 rounds up into the .9 which is now a 1

Answer:

5y + 8

and

8y +5 are the same solutions.

Answer:

You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.

Explanation:

3x² + 24x - 15 = 0

3(x² + 8x - 5) = 0

[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]

Then you can either use the box or pq method (since a is 1) to find working factors.

x² + bx + c → (x + p)(x + q).

p + q = b.

pq = c.

In this case with 3(x² + 8x - 5), b is 8 and c is -5.

This means we need two numbers that add up to 8 and multiply to -5.

Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.

1 + -5 = -4 ≠ 8

-1 + 5 = 4 ≠ 8.

Since we cannot find rational solutions, this cannot be factored, and so we must use another method.

Answer:

$460.25

Step-by-step explanation:

350 + .065(350) + .25(350)

= 350 + 22.75 + 87.5

$460.25

Answer:

Maximum height = 346 feet

Step-by-step explanation:

Given that,

The height of the rocket, y in feet, is related to the  time after launch, x in seconds, by the given equation as follows :

[tex]y = -16x^2 + 136x + 57[/tex] .....(1)

We need to find the maximum height reached by the rocket. For maximum height,

Put dy/dt = 0

So,

[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]

No, put x = 4.25 in equation (1).

[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]

So, the maximum height reached by the rocket is equal to 346 feet.

Answer:

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Step-by-step explanation:

In this case, we should use the following direct and inverse Laplace Transforms:

[tex]F(s) = G(s) + H(s)[/tex] (1)

[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)

[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)

[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)

Then, we apply all these trasforms:

[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]

[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]

[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Answer:

Yes

Step-by-step explanation:

(3, 2) is a solution to the given system of linear equations.

x - 8y = 3 - 8*2 = 3 - 16 = - 13

16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16

9514 1404 393

Answer:

  1. 6.1 to 10.3

  2. 9.6 hours

  3. 7.5 hours

Step-by-step explanation:

1. The empirical rule or the supplied chart will tell you that μ ±3σ of the distribution is within 99.7% of the mean. Here, that is ...

  8.2 ±3(0.7) = 8.2 ±2.1 = [6.1, 10.3]

The range of hours is 6.1 to 10.3 hours.

__

2. 2.5% of the distribution is above μ +2σ, or ...

  8.2 +2(0.7) = 9.6 . . . hours

__

3. The bottom 16% of the distribution is below μ -σ, or ...

  8.2 -0.7 = 7.5 . . . hours

Answer:

2

Step-by-step explanation:

The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.

Answer:

hwqvh bjvs bhs ebf

Step-by-step explanation:

Step-by-step explanation:

Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr

Answer:

increases slowly

Step-by-step explanation:

ghehjje euheje heyru

Answer: 5

Step-by-step explanation:

Answer:

(x,y) --> (-y,-x) is the rule

Step-by-step explanation:

(-1,3) to (-3,1)

Hope I helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer: 117in²

Step-by-step explanation:

area of a parallelogram= bh (base times height)

13 times 9 = 117in²

Answer:

The last one

Step-by-step explanation:

The fast reason why - all the other scenarios require 3 lines: 2 lines both parallel to a 3rd, or 2 lines cut by a transversal line, etc. The diagram only shows 2 lines. So the right answer must be the one that doesn't require a third line to be present.  :)

The longer answer why - See how angles 2 & 3 have the same style of arc? That is telling you they are of equal measure. So together they are a straight angle, 180°. And they are equal to each other, so 2x = 180° --> each one must be a 90° angle.

Wherever two lines cross, if one angle is a right angle, all 4 angles at the intersection also must be right angles, so everything is perpendicular.

Answer:2

Step-by-step explanation:

x² = 6² + 19²

x² = 36 + 361

x = √397

Answer:

17 players

Step-by-step explanation:

6 people scored 2

8 people scored 3

3 people scored 4

24 divided by 12 equals 2,083

The division of 25 by 12  gives the quotient 2 and remainder is 1.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Given:

We have to divide 25 by 12.

The division is as follow:

                            12| 25 | 2

                                  24

                              ______

                                   1

Thus the Quotient is 2 and remainder is 1.

Learn more about Division here:

brainly.com/question/21416852

#SPJ5

Answer:

Slope: [tex]\frac{5}{2}[/tex]

y-intercept: 0

Step-by-step explanation:

First, find the slope. Use two points given to you. In this case, I will use the following:

(x₁ , y₁) = (2 , 5)

(x₂ , y₂) = (4 , 10)

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the corresponding numbers to the corresponding variables:

slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]

Note the slope intercept form:

y = mx + b

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Plug in the slope into m for the equation:

[tex]y = \frac{5}{2} x + b[/tex]

Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:

[tex]5 = \frac{5}{2}(2) + b[/tex]

Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:

[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]

Y-intercept: 0

Answer:

y = 1/5x + 3

Step-by-step explanation:

To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!