write and equation in slope-intercept form for the line that passes through (-3,2) and is perpendicular to y=1/2x+9

Angle 2 and angle 4 are congruent.

What are vertical angles?

When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

Given,

∠2 and ∠4 are vertical angles as shown in fig.

We know that Vertical angles are formed when two straight lines intersect at a point. Vertical angles are two angles that are vertically opposite and have the same measure. So, the two angles are to be congruent.

We have to prove that angles 2 and angle 4 are congruent.

Given ∠2 and ∠3  makes linear pair so,

∠2 + ∠3 = 180

∠3 = 180 - ∠2....(1)

Again, ∠3 and ∠4 make linear pair

∠3 + ∠4 = 180

∠3 = 180 - ∠4....(2)

From (1) and (2) we get,

180 - ∠2 = 180 - ∠4

Subtracting 180 from both sides we get,

- ∠2 =  - ∠4

∠2 =   ∠4

Hence, angle 2 and angle 4 are congruent.

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The energy is converted from one form to another, the evidence is the law of conservation of energy.

As given in the question, that,

On a pool table, one billiard ball strikes another.
There is a law called the law of conservation of energy. which tells that energy in the system is always conserved. for the system of billiard balls energy of the one transfer to another ball and the energy gets converted from potential energy into kinetic energy, but the sum of the energy before the collision and after the collision is constant.

Thus, the energy is converted from one form to another, the evidence is the law of conservation of energy.

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Answer:

the second

Step-by-step explanation:

refers to well-founded standards of right and wrong that prescribe what humans should do, usually in terms of rights, obligations, benefits to society, justice

Answer:

A. 400*45.2=400*45+400*0.2=18000+80=18080

B. 14.9*100=15*100-0.1*100=1500-1=1490

C. 76.2*200=76*200+0.2*200=15200+4=15204

Step-by-step explanation:

Answer:

$38.59

Step-by-step explanation:

Just plug it into the formula and then divide.

Answer:

i may be wrong but itcould be 1/3 butt i dont know ur A.B.C.D

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

First, find 5/8 of 48

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

48

1

So now that we've converted 48 into a fraction, to work out the answer, we put the fraction 5/8 side by side with our new fraction, 48/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

5 x 48/8 x 1 = 240/8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 240 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

240/8 = 30

8/8 = 1

When we put that together, we can see that our complete answer is:

30/1

The complete and simplified answer to the question what is 5/8 of 48 is:

Now that we have found 5/8 of 48. It can be confirmed that Sue gave her sister 30 dolls.

Answer:

Step-by-step explanation: a=4, b=2.

Answer:

b = 39

Step-by-step explanation:

\(a-6=b\)

if a = 45:

\(45-6=b\\39=b\)

Hope this helps

Answer:

24

Step-by-step explanation:

15 =4

15x 6=90

4x6=24

Answer:

15 foot tree = 4 foot shadow

90 foot telephone pole

Setting up a proportion:

15 / 4 = 90 / x

15x = 360

x = 24 feet (telephone pole shadow)

Step-by-step explanation:

The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.

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Answer:

1.5 x -0.4 = -0.6 or -6/10 or -3/5

Step-by-step explanation:

1 1/2= 3/2x(-6/15)

3/2 = 1.5  -6/15 = 0.4

1.5 x -0.4 = -0.6 or -6/10 or -3/5

The maximum value of the periodic function is 11.

The amplitude of a periodic function represents the maximum distance from the average value or the midline. In this case, the given function has an amplitude of 14, which means it oscillates between a maximum value and a minimum value, each differing by 14 units.

The minimum value of the function is -3. Since the amplitude is 14, we can determine the maximum value by adding the amplitude to the minimum value. Thus, the maximum value is obtained by adding 14 to -3:

Maximum value = -3 + 14 = 11

Therefore, the maximum value of the periodic function is 11.

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Answer:

144

Step-by-step explanation:

12 inches by 12 inches is 144. quick mafs

Answer:

144

Step-by-step explanation:

The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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Answer:

-6

Step-by-step explanation:

it is going through the y axis

The surface area of the triangular prism is 2016 \(feet ^2\), we get to the answer by adding area of all faces in this prism.

What is surface area ?

Surface area is the sum of the areas of all the faces or surfaces of a 3D object, measured in square units.

To find the surface area of the triangular prism, we need to calculate the area of each of its faces and then add them up.

First, let's find the area of the triangular base.

Area of triangle = (1/2) x base x height

Area of triangle = (1/2) x 18 x 24

Area of triangle = 216 \(feet ^2\)

Next, let's find the area of each rectangular face.

Area of rectangle = length x width

Area of rectangle 1 = 24 x 22 = 528 \(feet ^2\)

Area of rectangle 2 = 18 x 22 = 396 \(feet ^2\)

Area of rectangle 3 =  22 x 30 = 660 \(feet ^2\)

Now, we can add up the areas of all three faces to get the total surface area of the prism:

Surface area = area of rectangle (1+2+3) + 2 x area of triangle

Surface area = 528 + 396 + 660 + 2(216)

Surface area = 2016 \(feet ^2\)

Therefore, the surface area of the triangular prism is 2016 \(feet ^2\).

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Answer:

x = 12

Step-by-step explanation:

sqrt(x+4) - 3 = 1

First get the sqrt all by itself on one side of the equation. Add 3 to both sides of the equation.

sqrt(x+4) = 1 + 3

sqrt(x+4) = 4

To "fix" the sqrt, that is, "undo it" and get rid of it, you have to SQUARE both sides of the equation.

(sqrt(x+4))^2 = 4^2

x + 4 = 16

subtract 4 to finish up.

x = 12

Check:

sqrt(12 + 4) - 3 = 1

sqrt16 - 3 = 1

4 - 3 = 1

1 = 1 Check!

Answer:

y = -5/3x + 5 The last option or D

Step-by-step explanation:

took the unit test

Answer:

Where is the question? Did you forget to attach the image, or did you need to create several possibilities?

Step-by-step explanation:

If you wanted several possibilities:

The approximate distance between Khloe and school is given by 18.78 miles.

Representing Khloe's movements on a coordinate plane.

Let us assume that Khloe's starting point (her school) is at the origin (0,0).

She walks 20 miles due west,

which means she moves 20 units to the left on the x-axis. Her new position is (-20,0).

She then walks 8 miles due north,

which means she moves 8 units up on the y-axis.

Her new position is (-20,8).

Finally, she walks 3 miles due east,

which means she moves 3 units to the right on the x-axis.

Her new position is (-17,8).

Distance between Khloe's final position and her starting point (the school),

Use the Pythagorean theorem,

Distance = √((change in x)^2 + (change in y)^2)

⇒Distance = √((-17-0)^2 + (8-0)^2)

⇒Distance = √(289 + 64)

⇒Distance = √353

⇒Distance ≈ 18.78 miles

Therefore, Khloe is approximately 18.78 miles away from her school.

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Answer:x=2+2√3 OR x=2−2√3

Step-by-step explanation: The answer is too long to write down. For complete step-by-step, go to mathpapa algebra calculator and type in your question. It would be a bit too long and difficult to write down.

Hope this helps

BRAINLIEST please?

The vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

To find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7, we first need to find the direction vector of the line of intersection.

We can find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the plane 2x - 3y + 5z = 2 is <2, -3, 5>, and the normal vector of the plane 4x + y - 3z = 7 is <4, 1, -3>. Taking the cross product of these two vectors, we get:

<2, -3, 5> × <4, 1, -3> = <-16, 22, 11>

This vector <-16, 22, 11> is the direction vector of the line of intersection of the two planes.

To find a vector parallel to this line, we can simply multiply the direction vector by a scalar. For example, we can choose a scalar of 2 to get:

2<-16, 22, 11> = <-32, 44, 22>

Therefore, the vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

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The missing number in the unit conversion problem is composed as follows:

9 ft = 108 inches.

The missing number is obtained applying the proportions in the context of the problem.

The unit conversion rate between ft and inches is given as follows:

1 feet = 12 inches.

Hence the number of inches in 9 feet is obtained multiplying 9 by 12, as follows:

9 x 12 = 108 inches.

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Answer:

3D

Step-by-step explanation:

36 to air plain crashes

d

d

d

d

Answer:

x^10

Step-by-step explanation:

when u mulitply exponets you add them.. i would look up on google tho the rules of exponents so you know them.