please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)

Answer:

36 units

Step-by-step explanation:

Using the coordinates, you can find the length of each leg of the triangle.

Find the distance between the x-coordinates, 2 and 11 by subtracting.

11 - 2 = 9.

Find the distance between the y-coordinates, 7 and -5 by subtracting.

7 - (-5)

7 + 5 = 12

The two legs of the right triangle are 9 and 12.

Use the pythagorean theorom to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +12x^{2} =c^{2} \\81 + 144 = c^{2} \\225 = c^{2} \\\sqrt{225}=\sqrt{c^{2} } \\c = 15[/tex]

The three sides of the triangle are 9, 12, and 15. To find the perimeter, add the sides together.

9 + 12 + 15 = 36

The potential energy of the 10-kg object is 294 joules.

Variation is a mathematical term that shows the relationship between two or more parameters or quantities in an equation.

Analysis:

let potential energy be = P

let mass be = m

let height be = h

P ∝ mh

P = kmh

when P = 784, m = 40kg, h = 2 meters

784 = k x 40 x 2

k = 9.8

P = 9.8mh

when m = 10kg, h = 3 meters

P = 9.8 x 10 x 3 = 294 joules.

In conclusion, the potential energy of the object at 3 meter height is 294 joules.

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Answer:

7

Step-by-step explanation:

Because it is asking what X value are all the functions equal to just find a point that lies on X that they all come to.

In this case it's 7

Answer:

x = 7

Step-by-step explanation:

The functions are equal to each other where the lines of the functions intersect each other.

The intersection point is (7, 3).

The x-value at this point is 7.

Hence, x = 7.

Answer:

32 possible outcomes

Step-by-step explanation:

4 × 2 × 4 = 32

Answer:

reflection in the y- axis

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y )

B (5, - 7 ) → B' (- 5, - 7 ) ← is a reflection in the y- axis

Answer:

Step-by-step explanation:

Answer:

opens upwards

Step-by-step explanation:

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

given

y = 5x² - 17x - 12

with a = 5 > 0

then parabola opens upward

volume = (side length)³

Alternatively we could say that;

Side length = ∛volume

(we have just found the cube root of both sides here, remember we can do what we like to an equation, as long as we do the same to both sides!)

Because we cubed side length to get volume, side length must be the cubic root of the volume, the ∛.

We know that the volume is 1000 cubic feet, so;

Side length = ∛1000

∛1000 = 10

So the length of an edge of the cube is 10 feet.

Answer:

61.90

Step-by-step explanation:

12.2+14+14+6=46.2

of semi circle

circumference of semi circle = [tex]\pi[/tex]d

[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]

semi circle so divide by 2 = 5[tex]\pi[/tex]

5[tex]\pi[/tex] = 15.7

46.2 + 15.7 = 61.9

Step-by-step explanation:

33÷8= 4 with one left over

4 and 1/8 is your mixed number!

Answer:

Step-by-step explanation:

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

a. 5x + 9y = -45

c. -9x + 5y = 45

b. 9x + 5y = -45

d. 5x - 9y = 45

Answer:

: w ≤ - 6

Step-by-step explanation:

Answer:

[tex]A = 66\ yd^2[/tex]

Step-by-step explanation:

You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:

[tex]A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66[/tex]

Answer:

The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

Step-by-step explanation:

Step 1:  Find the area of the front and back

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 2:  Find the area of the top and bottom

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 3\ yd[/tex]

[tex]A = 9\ yd^2 * 2[/tex]

[tex]A = 18\ yd^2[/tex]

Step 3:  Find the area of the left and right sides

[tex]A = l * w[/tex]

[tex]A = 3\ yd * 4\ yd[/tex]

[tex]A = 12\ yd^2 * 2[/tex]

[tex]A = 24\ yd^2[/tex]

Step 4:  Total area

[tex]A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2[/tex]

[tex]A_{total}= 66\ yd^2[/tex]

Answer:  The surface area of the rectangular prism is [tex]66\ yd^2[/tex]

Step-by-step explanation:

y-x+2 =0 is the right answer so try in that way

Answer:

W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)

Kindly check the attached image for more reference

Step-by-step explanation:

Given points of WXYZ ( can be identified by looking at the graph )

Applying translation 3 units left , 15 units down

(Note when shifting left , you subtract from the x value , when shifting down, you subtract from the y value.)

Rule for translation (x,y) ===> ( x - 3 , y - 15 )

Applying translation to given points

Applying rotation 270° counterclockwise around the origin

Rotation 270° clockwise rule : (x,y) ===> (y,-x)

Explanation of rule , change the sign of the x values, then swap the x and y values places.

Applying rotation rule to points

So the final points of square WXYZ after the two transformations would be W'' (-5,-11) , X'' (-11,-9) , Y'' (-9,-3) and Z'' (-3,-5)

To see this graphed, kindly view the attached image.

The red square represents the square before any transformations

The blue square represents the square following the translation

And the black square represents the coordinates of the square after the full transformation including both the translation and the rotation .

Answer:

Original image:

W = (14, 10)

X = (12, 4)

Y = (6, 6)

Z = (8, 12)

To translate 3 units left, subtract 3 from the x-values (x - 3)

To translate 15 units down, subtract 15 from the y-values (y - 15)

W' = (14 - 3, 10 - 15) = (11, -5)

X' = (12 - 3, 4 - 15) = (9, -11)

Y' = (6 - 3, 6 - 15) = (3, -9)

Z' = (8 - 3, 12 - 15) = (5, -3)

(red square on attachment)

To rotate 270° counterclockwise around the origin (0, 0),

the point (x, y) becomes (y, -x). So, switch x and y and make x negative.

W'' = (-5, -11)

X'' = (-11, -9)

Y'' = (-9, -3)

Z'' = (-3, -5)

(green square on attachment)

Answer:

See below ~

Step-by-step explanation:

The true statements based on the graph :

Answer:

8 ounces

Step-by-step explanation:

50×2=100

100-92=8

there ya go

#1

The line should start just over origin

#2

Line should step downwards to contain moSt dots

#3

Quite above origin and half steadier (angle about 30-45)

#4

Almost staright line and almost parallel to x axis

Answer:

1/3

Step-by-step explanation:

2 divided by 1/6

2/1 divided by 1/6

2/6 ---> Simplify: 1/3

Answer:

12

Step-by-step explanation:

the answer is 12 because 2 dived by 1/6 is 12 i used a calculator to fund the answer btw

The coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

Line segment EF begins at (-1, 5) and ends at (-1, -3). The segment is translated right 4 units and down 2 units to form line segment E'F'. Then the coordinate of E' and F' will be:

E' = (-1 + 4, 5 – 2) = (3, 3)

F' = (-1 + 4, -3 - 2) = (3, -5)

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The length of the E'F' = √(0 + 64) = 8 units

Thus, the coordinates for the line segment E'F' are (3, 3) and (3, -5) and the length of the segment E'F' is 8 units.

Learn more about the geometric transformation here:

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Answer:

yes

Step-by-step explanation:

because a shadow cab be expressed by a two dimension

at first glance, you'll see that there is a negative beside the stretch factor of 2 which suggests that the function will be opening downwards, which means that we can eliminate g.

the vertex is then at (-3, 5) which narrows down the answer to F.

Answer:

it's orange

Step-by-step explanation:

because black is (x-<+17)

and yellow is 61 that means that y =orange

Answer:

Step-by-step explanation:

Answer:

Check Below

Step-by-step explanation:

given things  : 1. height of cone  = 22* 1/4 feet or  89/4 feet

                       2.  diameter of cylinder = 2* 2/5 times of height

                                                          =  12/5 times of height or 12/5 * 89/4

                                                           = 89*3/5 feet

now formula of volume of cone =  Pi R² * H

                                                       = (3.14) ( D/2)² * H

                                                       = (3.14)*  (89*3/10)² * 89/4

                                                       = (3.14) * (26.7)² * 22.25

                                                       = (3.14) * 712.89 * 22.25

                                                       =  (49806.06)

Hope u find this answer Helpful !

Answer:

18√5  or Decimal Form: 40.24922359…

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. (6)^(4*2) or (6^4)(6^4)(6^4)(6^4)

b. 6^8

The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.

An equation is an expression that shows the relationship between two or more numbers and variables.

From the graph using points (0, 12) and (4, 0):

y intercept = 12; slope = (0 - 12)/(4 - 0) = -3

The scenario that match this graph is 12 gallons are presently in the bath tube draining at 3 gallons per minute.

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Answer:

P = 12 + 2π cm

Step-by-step explanation:

arc length is calculated as

arc = circumference × fraction of circle

the angle subtended at the centre of the sector = 360° - 300° = 60° , then

arc = 2πr × [tex]\frac{60}{360}[/tex]

      = 2π × 6 × [tex]\frac{1}{6}[/tex]

      = 2π

the perimeter (P) = 6 + 6 + 2π = 12 + 2π

Answer:

please make the image less blurry

Step-by-step explanation: