graph the circle x2 + y2 - 12x + 6y +36 =0​

Answer:

x=5

Step-by-step explanation:

3x+1 = 4x -4

Subtract 3x from each side

3x+1-3x = 4x-3x-4

1 = x-4

add 4 to each side

1+4 = x-4+4

5 =x

Answer: x=5

Step-by-step explanation:

3x+1=4x+(-4)

3x+1=4x-4

3x+5=4x

5=x

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

Answer:

A. 1.95

Step-by-step explanation:

PLATO

Complete Question

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m³ of fluffy

material. The base is 0.5m² and the height is 1m.

What is the length of the pillow?

Give an exact answer (do not round).

Answer:

1.4m

Step-by-step explanation:

A wedge comes in the shape of a Triangular prism. Hence,

Volume of a wedge(Triangular prism) = 1/2 × B × H × L

b = 0.5m

h = 1 m

l = ??

Volume of a wedge = 0.35m³

0.35 = 1/2 × 0.5 × 1 × L

0.35 = 0.25 × L

L = 0.35/0.25

L = 1.4m

Answer:

The function graphed below is [tex]x = y^{2} - 2[/tex] or [tex]y = \pm \sqrt{x+2}[/tex].

Step-by-step explanation:

The graph represents a second order polynomial function (a parabola), whose axis of symmetry is the x-axis and whose form is presented as follows:

[tex]x - h = C\cdot (y-k)^{2}[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Dependent and independent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. If [tex]C > 0[/tex], then vertex is an absolute minimum, otherwise it is an absolute maximum.

After a quick observation, the following conclusions are done:

1) Vertex is an absolute minimum ([tex]C > 0[/tex]) and located at (-2, 0).

2) Parabola pass through (2, 2).

Then, the value of the vertex constant is obtained after replacing all known values on expression prior algebraic handling: ([tex]x = 2[/tex], [tex]y = 2[/tex], [tex]h = -2[/tex], [tex]k = 0[/tex])

[tex]2+2 = C\cdot (2-0)^{2}[/tex]

[tex]4 = 4\cdot C[/tex]

[tex]C = 1[/tex]

The function is:

[tex]x = -2 + 1\cdot y^{2}[/tex]

[tex]x = y^{2}-2[/tex]

The inverse function of this expression is [tex]y = \pm \sqrt{x+2}[/tex]

The function graphed below is [tex]x = y^{2} - 2[/tex] or [tex]y = \pm \sqrt{x+2}[/tex].

Answer:

4%

Step-by-step explanation:

We can write the following equation:

20 * (x / 100) + 60 * 0.12 = 80 * 0.10 (Note that since we're writing the percentages as decimals, x% becomes x / 100 as a decimal.)

x / 5 + 7.2 = 8

x / 5 = 0.8

x = 4%

Answer:

Its B. on edge

Step-by-step explanation:

got it right on my test

Answer:

28 and 6

Step-by-step explanation:

List the factors (excluding itself):

6: 1, 2, 3,

28: 1, 2, 4, 7, 14

Add them up!

1+2+3=6

1+2+4+7+14=28

if they add up to the original number then the number is perfect.

========================================

Explanation:

By definition, a perfect number is one where the factors smaller than itself add to the number in question.

The factors of 6, smaller than 6, are {1,2,3}. We can see that 1+2+3 = 6. Therefore, 6 is a perfect number.

Similarly, 1+2+4+7+14 = 28 showing that 28 is also a perfect number.

------

The factors of 625, that are smaller than 625, are 1,5,25,125. They add to 1+5+25+125 = 156. This isn't equal to 625, so 625 isn't a perfect number.

A similar issue happens with 100 as well. The smaller factors are 1,2,4,5,10,20,25,50, meaning we get a sum of 1+2+4+5+10+20+25+50 = 117, which is too large.

------

The first four perfect numbers are: {6, 28, 496, 8128}

Answer:

Step-by-step explanation:

The alternation of addition means you can swap places of components of sum.

(2x²+5x) and (4x²-4x) are polynominal components of the sum: (2x²+5x)+(4x²-4x)

Answer:

D

Step-by-step explanation:

got it right on edge

Answer:

96 meters

Step-by-step explanation:

The computation of the distance far from her ride the boat during this time is shown below:

According to the kinematics motion equation

[tex]s = u \times t + \frac{1}{2} \times a \times t^{2}[/tex]

where,

o = 0 m/sec  

a = 3.0 m/sec

t = 8.0 sec

Now placing these values to the above formula

So, the distance far from her ride is

[tex]= 0 \times 8 + \frac{1}{2} \times 3 \times 8^{2}[/tex]

= 96 meters

We simply applied the above formula

Answer:

432cm²

Step-by-step explanation:

If the Perimeter is 120cm, PT=8 (120-28-12-12-28-12-12)/2

This means the rectangle is 24x36.

area of a kite is the diagonals divided by 2 (or half of the rectangle).

24x36=864

864/2=

432 cm²

Answer:

You did not ask anything, i guess that you want to find the equation of the height of the nail as a function of time.

Data that we have:

The nail is in a circular object.

the nail hits the ground every 2 seconds, then the weel does a full cycle every 2 seconds.

The maximum height of the nail is 48cm, and as the nail is stuck on the weel, the maximum height will be when the nail is on top of the weel.

From this, we can conclude that the diameter of the weel is 48cm.

Now, with this we could write the equation of the height of the nail as a function of time.

We know that this is a periodic function, so let's write it as:

f(t) = A*cos(c*t) + B

where A, B and c are constanst.

At t = 0, when the byke hits the nail, the nail must be in the ground, so we have that:

0 = A*cos(c*0) + B

A + B = 0

A = - B

and we also know that the function is periodic with T = 2s

cos(c*t) = cos(c*(t + 2s) = cos( c*t + 2s*c)

and we know that the period of the cosine function is 2*pi

then:

c*2s = 2*pi

c = (2pi/2s) = pi/s

then our function is:

f(t) = -B*cos(t*pi/s) + B

now, the maximum heightwill be when cos(t*pi/s) = -1, and this happens at t = 1s

f(1s) = -B*cos(pi) + B = 2B

And we know that the maximum height is 48cm

2*B = 48cm

B = 24cm

Then the function of the height of the nail is:

f(t) = -24cm*cos(t*pi/s) + 24cm

Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

Answer:

$140

Step-by-step explanation:

1. Set up the equation

[tex]\frac{42}{x}[/tex] = [tex]\frac{30}{100}[/tex]

Percentage is out of 100 this equation says 42 of x number is equal to 30%.

2. Cross multiply

30x = 4200

3. Solve for x by dividing both sides by 30

x = 140

Answer:

67 - p = 52

Step-by-step explanation:

the train starts with 47 people:      47

it picks up 20 more:      47 + 20 = 67

p people get off:                            67 - p

52 people are left on train:           67 - p = 52

Answer:

It's B

Step-by-step explanation:

plato

Answer:

Step-by-step explanation:

The ratio of figure A to B is 4:1

That's

[tex] \frac{4}{1} [/tex]

Volume of figure A is 4.023π in³

To find the volume of figure B we compare the volumes of the two figures to the ratio

That's

[tex] \frac{4}{1} = \frac{4032\pi}{B} [/tex]

Cross multiply

That's

4B = 4032π

Divide both sides by 4

B = 1008π

Hope this helps you

Answer:

Proportionality Constant = k = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Equation is:

[tex]y = \frac{x}{9}[/tex]

=> [tex]y = (\frac{1}{9} ) x[/tex]

Comparing it with [tex]y = kx[/tex], where k is the proportionality constant, We get:

Proportionality Constant = k = [tex]\frac{1}{9}[/tex]

Answer:

[tex]{\sf \frac{1}{9}}[/tex]

Step-by-step explanation:

y and x are the directly proportional quantities.

[tex]\sf y=kx[/tex]

The constant of proportionality is k.

The equation is:

[tex]\sf y=\frac{x}{9}[/tex]

[tex]\sf y=\frac{1}{9} x[/tex]

The value of k in this equation is:

[tex]\sf k= \frac{1}{9}[/tex]

Answer:

Whenever a-5<0 or a<5

Step-by-step explanation:

So if you have an absolute value, that turns into two equations. The one we care about is -(a-5)=5-a. After distributing the negative through the left side of the equation, you'll get that 5-a=5-a, which is an identity. But you can only say that abs(a-5)=5-a when a-5<0. To see a visual representation of this, graph both sides of the equation in desmos.

Answer:

a. (True) Since ∠6 and ∠8 are vertical angles, they are congruent.

b. (False) ∠1 and ∠2 are supplementary but 65 + 125 ≠ 190.

c. True

d. True

e. True

Answer:

The answer is Freddy Kruger

Step-by-step explanation:

Elm Street, duh

Answer:

Increasing if X is positive decreasnig if X is negative

Step-by-step explanation:

Answer:

increasing

Step-by-step explanation:

positive slope of 75 so line goes up to the right

Answer:

Variance =10900.00

Standard deviation=104.50

Step by step Explanation:

Admissions Probability for 1100= 0.2

Admissions Probability for 1400=0.3

Admissions Probability for 1300 =0.5

To find the expected value, we will multiply each possibility by its probability and then add.

mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290

To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.

E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000

Variance(X)=E(X²)- [E(X)]²

= 1675000 - (1290)²

=10900

Hence, the Variance(X)=10900

Then to calculate the standard variation , we will use the formular below,

standard variation (X)=√ var(X)= √10900

=104.5

Hence the standard variation=104.5

Answer:

B

Step-by-step explanation:

there is three sections to be fenced using 78 m of fence so it would be letter B.

Answer:

6 weeks

Step-by-step explanation: set the equation to be 1458=2(3^t). Do the division property of equality by 2.

729=3^t

Divide 729 by 3 until you get a 1 as the answer.(Count the number of times that you did it, and that will be your answer)

Answer:

6.5 < 3rd side < 19.9.

Step-by-step explanation:

For a triangle, the third side must be more than the difference between the given side lengths, but less than the total of the given side lengths.

So, the third side must be more than...

13.2 - 6.7 = 6.5.

The third side must be less than...

13.2 + 6.7 = 19.9.

6.5 < 3rd side < 19.9.

Hope this helps!

Answer:

D. The graph of g(x) is horizontal stretched by a factor of 3.

Step-by-step explanation:

Multiplying x by 1/3 stretches the graph horizontally by a factor of 3.

Answer:i think its d too

Step-by-step explanation:

Answer:

[tex]x^\frac{3}{7}[/tex]

Step-by-step explanation:

we can write [tex]\sqrt[7]{x}[/tex] as [tex]x^\dfrac{1}{7}[/tex] and we multiply 1 by 3 to get [tex]x^\frac{3}{7}[/tex]

Answer: C) 12.2

================================================

Explanation:

We have a known adjacent side (10) and an unknown hypotenuse (x). The cosine rule ties the two sides together.

cos(angle) = adjacent/hypotenuse

cos(35) = 10/x

x*cos(35) = 10

x = 10/cos(35)

x = 12.2077458876146 approximately

x = 12.2

Make sure your calculator is in degree mode.

Answer:

[tex]\boxed{12.2}[/tex]

Step-by-step explanation:

cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

The hypotenuse of the triangle is x.

cos (35) = [tex]\frac{10}{x}[/tex]

x = [tex]\frac{10}{cos(35)}[/tex]

x = 12.20774588...

x ≈ 12.2

Answer:

La magnitud del desplazamiento resultante es 2045.463 kilómetros. La dirección absoluta del desplazamiento resultante es 151.055º, el cual corresponde al sentido noroeste.

Step-by-step explanation:

En primer lugar, se construye el triángulo. La figura resultante se encuentra incluida como archivo adjunto. La magnitud del desplazamiento resultante se determina mediante la Ley del Coseno:

[tex]r = \sqrt{(800\,km)^{2}+(1400\,km)^{2}-2\cdot (800\,km)\cdot (1400\,km)\cdot \cos 135^{\circ}}[/tex]

[tex]r \approx 2045.463\,km[/tex]

La magnitud del desplazamiento resultante es 2045.463 kilómetros.

La dirección del desplazamiento resultante es hallada por medio de la Ley del Seno, sabiendo que el ángulo del desplazamiento resultante a la recta de 1400 kilómetros:

[tex]\frac{1400\,km}{\sin \alpha} = \frac{2045.463\,km}{\sin 135^{\circ}}[/tex]

Se despeja el ángulo correspondiente:

[tex]\alpha = \sin^{-1}\left(\frac{1400\,km}{2045.463\,km}\times \sin 135^{\circ} \right)[/tex]

[tex]\alpha \approx 28.945^{\circ}[/tex]

La dirección absoluta del desplazamiento resultante es:

[tex]\alpha' = 180^{\circ}-\alpha[/tex]

[tex]\alpha' = 180^{\circ}-28.945^{\circ}[/tex]

[tex]\alpha' = 151.055^{\circ}[/tex]

La dirección absoluta del desplazamiento resultante es 151.055º, el cual corresponde al sentido noroeste.

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AB = 2 × 44° = 88° → A

Answer:

A

Step-by-step explanation:

The measure of an inscribed angle is half the measure of it's intercepted arc

Answer:

Step-by-step explanation:

Hello

5 * [tex]\boxed{ }[/tex] = 12

so this number is

[tex]\boxed{ \ } = \dfrac{12}{5}[/tex]

Hope this helps

Answer:

[tex]\frac{12}{5}[/tex]  or 2.4

Step-by-step explanation:

→ Form an equation

5 × ? = 12

→ Divide both sides by 5

? =  [tex]\frac{12}{5}[/tex]  or 2.4

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{x}{x+2}[/tex]

multiply numerator/ denominator of [tex]\frac{x}{x+2}[/tex] by 4, thus

[tex]\frac{3}{4(x+2)}[/tex] = [tex]\frac{4x}{4(x+2)}[/tex]

Since the denominators are common , equate the numerators, that is

4x = 3 ( divide both sides by 4 )

x = [tex]\frac{3}{4}[/tex]