Debra walked her dog to the south. They walked 50 meters in 150 seconds.
What was their velocity?
A. 12 m/s south
B. 3 m/s south
O c. 100 m/s south
D. 0.3 m/s south

Answer:

The answer is "10.25"

Step-by-step explanation:

Please find the graph in the attachment:

In the given kite diagram the PT= TR so,

in  [tex]\Delta QTR[/tex] we applying the Pythagoras theory:

[tex]\to QR^2=QT^2+TR^2\\\\\to 13^2=QT^2+8^2\\\\\to QT^2= 13^2-8^2\\\\\to QT^2= 169-64\\\\\to QT^2=105\\\\\to QT=\sqrt{105}\\\\\to QT= 10.2469508\\\\ \to QT= 10.25[/tex]

The parent function is y = x²

If we vertically stretch it by a factor of 3, then we get to y = 3x²

So it's 3 times taller than it used to be. A point like (2,4) moves to (2,12) after applying this vertical stretch. Because it's stretched vertically, it becomes more narrow in the horizontal direction.

If we then shift that down by 2 units, then we arrive at the equation y = 3x²-2

So to summarize, we applied these two transformations:

The graph is shown below.

Step-by-step explanation:

You can put the value of x into the equation to solve for y. Hopes this works.

Answer:

The value of x is 7

Hope it helps! :)

Answer:

1) 5

2) -4

3) 12

4) -10

5) 2.8

6)-2

7) 2

8) -6

9) -1

For a 2 step equation, I'm guessing you are talking about this kind of equations.

2x+3=5

In these equations you solve it first.

2x=2

x=1

Now to check your work you simply substitute it back in to see if the equation stands.

2*1+3=?=5

2+3=5

This equal sign stands when I substitute it back so therefore its correct.

That's what checking your work means, this is how you check your work for most solve for x problems :)

Answer:

Height of the tree = 6 meters.

Step-by-step explanation:

P.S - The exact question is -

The graph is as follows :

Here Base = 8 m , Hypotenuse = 10 m

As, we know that By Pythagoras theorem,

( Hypotenuse )² = ( Base )² + ( Perpendicular )²

⇒(10)² = (8)² +  ( Perpendicular )²

Let the height of the tree = x

∴ we get

(10)² = (8)² +  ( x )²

⇒100 = 64 + x²

⇒100 - 64 = x²

⇒36 = x²

⇒x = √36

⇒x = 6

∴ we get

Height of the tree = 6 meters.

Answer: -2.5

Step-by-step explanation:

-15 divided by 1/2= -30

-30 times by 1/4= -2.5

Answer:

y=10x+9

after 4 years the gator will be 49 in long

Step-by-step explanation:

Answer:

y = 5/6x + 3/4.

At 4 years old,  the length y = 49/12 feet = 4 feet 1 inch.

Step-by-step explanation:

9 inches = 3/4 feet.

10 inches =  5/6 feet

So our equations is

y = 5/6x + 3/4.

When it is 4 years old:

y  = 5/6(4) + 3/4

= 20/6 + 3/4

= 49/12 feet

Answer:

The answer is "40 nickels/standard coins"

Step-by-step explanation:

The ratio of 40 nickels/standard coins is constant, that is 1 roll with coins per 40 nickels, that's why the equation is y = 40 [tex]\frac{nickels}{standard \ coins}[/tex]

Answer:

what to find?

Step-by-step explanation:

what to find?

Answer:

Could you clarify please?

Step-by-step explanation:

Like edit it to have an image or explanation

Answer:

TILE SIZES

Contemporary tiles are available in a variety of colors, styles, tile sizes, and shapes, which allows you to create a truly personalized space. Tile sizes are dependent on materials and intended uses, and they have increased dramatically over the years. But while there are some standard tile sizes, there are also a lot of manufacturers that make tiles in sizes specific to their in-house designs. Producers offer an enormous variety of products from very small 0.5” x 0.5” mosaic to large 24” x 24” tiles to suit in any house design and satisfy any customer needs.

Step-by-step explanation:

5/2K+1+1/3K-3/4= 17/6K + 1/4

-Plug in the rest of the equations to check if they are the same.

1. equivalent

2.Not

3.Not

4.Not

5.Not

Answer:

[tex]y^2+28y+196[/tex]

Step-by-step explanation:

We are given that

[tex]y^2+28y+..[/tex]

We have to fill in the number that makes the polynomial a perfect square quadratic.

We know that

[tex](a+b)^2=a^2+2\times a\times b+b^2[/tex]

Using the formula

Expand the expression

[tex](y)^2+2\times y\times 14+(14)^2[/tex]

[tex](y+14)^2[/tex]

[tex]=y^2+28y+196[/tex]

Answer:

x=10.25

Step-by-step explanation: since they're congruent, that's mean they're equal. Set both of the equation equal to each other and solve for x

5x+24=9x-17

24=4x-17

41=4x

x=10.25

Step-by-step explanation:

x - 9 = 23

(14) - 9 = 5

So the answer is no.

Answer:

No

Step-by-step explanation:

X will be equal to 32

If X is equal to 14 the answer will be 5

Answer:

122

Step-by-step explanation:

The nth term for this sequence is 3n - 1.

3 x 41 = 123

123 - 1 = 122

I only know what in the picture which is the letter A

Answer:

lifes hard man its whateva

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

A parallelogram is a quadrilateral (has 4 sides and 4 angle) with two pair of parallel and opposite sides. Opposite sides of a parallelogram are parallel and equal.

Given parallelogram ABCD:

AB = CD = 18 cm; BC = AD = 8 cm

∠P = ∠P, ∠PDA = ∠PCQ (corresponding angles are equal).

Hence ΔPCQ and ΔPDA are similar by angle-angle similarity theorem. For similar triangles, the ratio of their corresponding sides equal. Therefore:

[tex]\frac{CD}{PC}= \frac{AD}{CQ}\\\\\frac{18}{6}=\frac{8}{x} \\\\x=\frac{6*8}{18}=\frac{8}{3}\ cm[/tex]

Perimeter of CPQ = CP + CQ + PQ

15 = 6 + 8/3 + PQ

PQ = 15 - (6 + 8/3)

PQ = 6.33

∠CQP = ∠AQB (vertical angles), ∠QCP = ∠QBA (alternate angles are equal).

Hence ΔCPQ and ΔABQ are similar by angle-angle similarity theorem

[tex]\frac{AQ}{QP}=\frac{AB}{CP} \\\\\frac{AQ}{6.33} =\frac{18}{6} \\\\AQ=\frac{18}{6}*6.33\\\\AQ = 19[/tex]

[tex]\frac{BQ}{CQ}=\frac{AB}{CP} \\\\\frac{BQ}{8/3} =\frac{18}{6} \\\\BQ=\frac{18}{6}*\frac{8}{3} \\\\BQ =8[/tex]

Perimeter of BAQ = AB + BQ + AQ = 18 + 8 + 19 = 45cm

PA = AQ + PQ = 19 + 6.33 = 25.33

PD = CD + DP = 18 + 6 = 24

Perimeter of PDA = PA + PD + AD = 24 + 25.33 + 8 = 57.33 cm

Answer:

-0.78125

Step-by-step explanation:

-6000÷7680= -0.78125

Answer:

Step-by-step explanation:

Draw a picture. You have a 30-60-90 triangle, so the sides are in the ratio 1:√3:2.

The string of the kite is the side opposite the 90° angle. The side opposite the 30° angle is 25 ft.

The vertical leg of the triangle is 25√3 ≈ 43.3 ft

Answer:

∠GJK is 22°

Step-by-step explanation:

Because the shape is a rectangle we know that GH is parallel to JI

This means that because of the alternate angle rule we know that

5x+8 = 7x-16

Then we solve for x

5x+8-5x = 7x-16-5x

8+16=2x-16+16

[tex]\frac{24}{2}[/tex]=[tex]\frac{2x}{2}[/tex]

x=16

So this means that ∠HJI is 68°

Because the shape is a rectangle we know that ∠GJI is a right angle

This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule

90-68 =22

∴∠GJK is 22°

Answer:

1   15 x 9 x 14 = 1890

2   10 x 17 x 24 x 21 =85680

Step-by-step explanation:

Answer:

803.84 ft ²

:)

The area of the circle is given by the equation A = 803.84 feet²

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the area of the circle be represented as A

Now , the equation will be

The radius of the circle r = 16 feet

So , area of the circle = πr²

Substituting the values in the equation , we get

Area of the circle A = π x ( 16 )²

Area of the circle A = π x 256

Area of the circle A = 3.14 x 256

Area of the circle A = 803.84 feet²

Therefore , the value of A is 803.84 feet²

Hence , the area of circle is 803.84 feet²

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

Answer:

0.33

Step-by-step explanation:

5.11-3.79=1.32

1.32÷4=0.33

After solving the equation, the price of each postcard will be equal to $0.33.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per information in the question,

Price of greeting card = $3.79

Total cost of greeting card as well as greeting card is $5.11

Let the price of each postcard is x.

Then, the equation will be,

$3.79 + 4x = $5.11

4x = $5.11 - $3.79

x = 1.32/4

x = $0.33

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

Answer:

94

Step-by-step explanation:

i might be wrong

9514 1404 393

Answer:

  a. (5x+2)(5x+2)

Step-by-step explanation:

You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:

  2(5x)(2) = 20x

This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.

  25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)

_____

Generically, ...

  (a +b)^2 = a^2 +2ab +b^2

Here, we have a=5x, b=2.

Answer:

Hey! here is the answer!

Step-by-step explanation:

C! 10 = ∎ × 60

i know this becuase i did the equation in reverse, then used my calculator to make sure all the numbers added up.

Answer: B)

Step-by-step explanation:

First we need to find the value of the black sqaure. The value of the black square is 6 because 60 / 10 = 6. A) cannot be the answer because 6 does not equal 60. C) cannot be the answer because 10 does not equal 360. The only answer can be B) because 6 x 10 does equal 60.