What is the equation of a line passing through points (1, 2) and (3, 8)?
A.
y = x + 5
B.
y = 1

3 x – 1
C.
y = 3x – 1
D.
y = 1

5 x – 1
E.
y = x + 1

Answer:

Vertical Reflection Apply a reflection over the line y=-1 The procedure to determine the coordinate points of the image is the same as that of the previous example with minor differences in that the change will be applied to the y-value and the x-value stays the same.

Step-by-step explanation:

[tex]~~~~~\sin 30^{\circ} = \dfrac{x}{6}\\\\\implies \dfrac 12 = \dfrac x6\\\\\implies x = \dfrac 62 \\\\\implies x= 3.0~ \text{cm}[/tex]

[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

The question can be easily solved applying trigonometry ~

We know that ,

[tex]\bold{ \sin(\theta) = \frac{perpendicular}{hypotenuse}} \\ [/tex]

Substituting the values in the formula of sin θ

[tex] \sin(30\degree) = \frac{x}{6} \\ [/tex]

now , we know that sin 30° = 1/2

[tex]\therefore \: \implies \frac{1}{2} = \frac{x}{6} \\ [/tex]

on cross multiplying ,

[tex]\implies \: 2x = 6 \\ [/tex]

dividing both sides of the equation by 2 ,

[tex] \implies \: \cancel \frac{2x}{2} = \cancel\frac{6}{2} \\ \\ \implies \: \boxed{x = 3 \: cm}[/tex]

hope helpful ~

the horizontal axis is the bottom (____), the title is usually hiden in the task name

Answer:

There are 90 students in this school.

Step-by-step explanation:

Answer:

90 students are in the class

Step-by-step explanation:

So basically, you need to make this ration fraction equation:

[tex]\frac{1}{3} \\\\[/tex]  - [tex]\frac{1}{9} \\[/tex] = 20 .

you would come up with 2/9 is 20.

Times it by both sides and you will get 180=2x.

Note this x is added so you will get a variable and not get confused.

Then, your answer would become x=90.

Answer:

607,575 cupcakes

Step-by-step explanation:

Highschool math? haha

609898 - 2323 =

607,575

Answer:

972TT

Step-by-step explanation:

formula for volume of a sphere is

4/3TTr3

input the radius r as 9

4/3TT9 3

4/3TT729

4TT243

972TT

Answer:

1232 square meters

Step-by-step explanation:

The lateral surface area are all the rectangles.

1st rectangle:

A = lw

A = 25(22)

A = 550

2nd rectangle:

A= lw

A = 7(22)

A = 154

3rd rectangle:

A = lw

A = 24(22)

A = 528

Add the areas together.

550 + 154 + 528 = 1232

Answer:

ED = 6.5 cm

BE = 14.4 cm

Step-by-step explanation

AB/BC = AE/ED is less than or eqauls ED = BC×AE/AB

so

ED = 5×26/20 = 130/20 = 6.5 cm

and

AB/AC = BE/CD => BE = AB×CD/AC

so

BE = 20×18/25 = 360/25 = 14.4 cm

Answer:

50 percent, trust me.

Answer: 50%

Step-by-step explanation: 50/100 x 18 = 9

50/100 can also be written as 0.5

0.5 x 18 = 9

of = multiply

Answer:

*speedrunning intensifies*

A:

Min is 15

LQ is 23

Median is 36

UQ is 38

B:

IQR is 38 minus 23, or 15, I guess that the data is not very consistent and it is spread out?

C:

Min is calculated by looking at the end of the far left line

LQ is the far left of the box

Median is the line inside the box

UQ is the the far right of the box

IQR is UQ subtract LQ

I answered because I wanted you to get brainliest!

Answer:

7 + 7 = 14

you have 7 apples and add 7 more thats 14

Step-by-step explanation:

Answer:

m∠K = 36°

m∠L = 54°

m∠M = 90°

Step-by-step explanation:

         A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.

-> The little "box" in angle M means that it is equal to 90°

90° + (2x + 42)° + (4x + 12)° = 180°

90° + 42° + 12° + 2x° + 4x°= 180°

144° + 6x°= 180°

6x° = 36°

x = 6°

[m∠K]

4x + 12

4(6) + 12

36°

[m∠L]

2x + 42

2(6) + 42

54°

Answer:

--------------- HappY LearninG <3 ---------

The maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

We have a rectangular birdbath in his garden. The dimensions are 24, 8, and [tex]1\dfrac{1}{2}[/tex] inches

The maximum amount of water in the birdbath = volume of the birdbath

[tex]\rm = 24 \times 8 \times 1\dfrac{1}{2}[/tex]

[tex]\rm = 24 \times 8 \times \dfrac{3}{2}[/tex]

= 288 cubic in

Thus, the maximum amount of water the birdbath can hold is 288 cubic in which is the volume of the cuboid.

Learn more about the cuboid here:

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Answer:

Sample statistic

Answer:

[tex]\textsf{D)} \quad y=-(x+2)^2-4[/tex]

Step-by-step explanation:

Vertex form of a quadratic equation:  

[tex]y=a(x-h)^2+k[/tex]

where:

From inspection of the graph, the vertex (turning point) is (-2, -4).

Substituting the vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-4)[/tex]

[tex]\implies y=a(x+2)^2-4[/tex]

As the parabola opens downwards, [tex]a < 0[/tex]:

[tex]\implies y=-a(x+2)^2-4[/tex]

The curve intercepts the y-axis at (0, -8).

Inputting this into the equation and solving for [tex]a[/tex]:

[tex]\implies -8=-a(0+2)^2-4[/tex]

[tex]\implies -4=-4a[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the graph is:

[tex]y=-(x+2)^2-4[/tex]

Answer:

y = -(x + 2)² - 4

Step-by-step explanation:

Vertex form of an equation :

y = a(x - h)² + k

Substituting the coordinates of the vertex in the equation :

y = (x -(-2))² + (-4)

y = (x + 2)² - 4

y = -(x + 2)² - 4 (as the graph  opens downwards)

Answer:

50

Step-by-step explanation:

This is the equation:
x = 5 + 3y
We know that:
x - y = 35

Meaning we only need to solve for y now:

(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15

Meaning the final formula is

x = 5 + 3(15)
x = 50

Let's set some variables before we solve:

Okay's lets read the question

           ⇒ [tex]x = 3y +5[/tex]

               ⇒ [tex]x-3y=5[/tex]

           ⇒ [tex]x - y = 35[/tex]

Let's put the two equations together and solve

  [tex]x-3y=5 --equation1\\[/tex]

  [tex]x-y=35 -- equation2[/tex]

 (equation2) - (equation1)

  [tex]2y = 30\\y = 15 -- equation 3[/tex]

  (equation 3)'s value of y into (equation2)

  [tex]x - 15= 35\\x = 50[/tex]

Thus: [tex]x = 50[/tex] and [tex]y = 15[/tex]

The larger number is 50

Answer: 50 or Choice 3

Hope that helps!

Answer: Heyaa! ~

   10. 8√2

   11. 2h²√3

   12. 2h³√5k⁴

Step-by-step explanation:

    - Lets solve it together!

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Hopefully this helps you!

Answer:

85 44/100

Step-by-step explanation:

I think this is the corect anser

Answer:

8 2/5

7 1/2 times 12 divided by 100 = 0.9

7 1/2 + 0.9 = 8.4

as a mixed number it would be 8 2/5

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

It would be negative -22

6*(-4)+2

-24+2

-22

Hope this helps :)

Answer -

[tex]f(x) = 6x + 2 \\ \\ \implies \: f( - 4) = 6( - 4) + 2 \\ \\ \implies \: f( - 4) = - 24 + 2 \\ \\ \implies \: f(x) = - 22[/tex]

hope helpful ~

Answer:

$102.00

Step-by-step explanation:

Simply multiply 68 by 50 percent

68 × 50% or 68 × .5 = 34

so . .

Add 68 + 34 = 102  

Based on the illustration given above, the feet that she now need to ascend to get back to sea level is 40.5.

Note that the first descend was 20.6 - 12.5 =

8.1 feet

Then she drop 32.4 feet again

So to get back up she need to add:

= 32.4 feet + 8.1 feet

= 40.5

Therefore, based on the calculation given above, the feet that she now need to ascend to get back to sea level is 40.5.

Learn more about  sea level  from

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Answer:

2755

Step-by-step explanation:

One cubic foot=145 pounds, so we can do 145x19=2755 lbs.

The required weight of 19  cubic feet of concrete is 2755 pounds.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
One cubic foot of concrete weighs about 145 pounds.
weight of 19 cubic feet of concrete = 19 × 145 = 2755 pounds.

Thus, the required weight of 19  cubic feet of concrete is 2755 pounds.

Learn more about simplification here:

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Answer:

The area of the rectangle is 180 units

Step-by-step explanation:

6 + 2 + 2 = 10

But the areas of each sectioned off shape are

Big rectangle = 180

Small rectangle = 48

2 by 8 triangles = each 8

3 by 8 triangles = each 12

Altogether, it's 268

Answer:

268 square yards

Step-by-step explanation:

small L rectangle   8 x 6 =48

two L triangles   2    * 1/2 * 2 * 8 = 16

Large rectangle 18 x 10 = 180

two R triangles    2    * 1/2 3 x 8 =24    Total = 268 yds^2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:a(1/2 - 1/8)/(2 - 1/2)

a. (4/8 - 1/8)/(4/2 - 1/2)

3/8 / 3/2

3/8 x 2/3 = 2/8 = 1/4

y - 1/8 = 1/4(x - 1/2)

y - 1/8 = 1/4x - 1/8

y = 1/4x

b. (1400 - 1200)/(1000 - 500)

     200/500 = 2/5

y -  1200 = 2/5(x - 500)

y - 1200 = 2/5x - 200

y = 2/5x + 1000

c. (41.85 - 13.95)/(3 - 1)= 27.90/2 = 13.95

 y - 13.95 = 13.95(x - 1)

y - 13.95 = 13.95x - 13.95

y = 13.95x

d. (2.34 - 0)/(15 - 0)= 2.34/15 = .16 or .156

    y = .16(x - 0)

y = .16x

or y = .156x

Step-by-step explanation:

a trapezoid.

the 2 sides on the left and the right are equal (congruent), and so are the diagonals.

but these diagonals are usually not perpendicular (perpendicular = intersecting each other at 90°).

Answer:

B.Courtney’s reasoning about triangle PRS is correct, and the hexagon is equilateral.

Step-by-step explanation:

Answer:

Largest angle is "B" and smallest angle is "A".

Step-by-step explanation:

Given ∆ABC

AB = 10 cm , BC = 8 cm , AC = 15 cm

Angle opposite to side AB is "C"

Angle opposite to side BC is "A"

Angle opposite to side AC is "B"

we know that the angle opposite to largest side is largest angle and smallest side is smallest angle.

Here,∆ABC largest side is AC and smallest side is BC.

Hence,largest angle is "B" and smallest angle is "A".