find three consecutive integers whose sum is 21

Alright, it went 1 to the right and down 2 times.

So for point B, you calculate the opposite.

Point B goes 1 left while going up by 2.

(9 - 1, 3 + 2) = (8, 5)

Pre-image point A is (8, 5)

The preimage of point A before a translation right 1 unit and down 2 units

is (8, 5).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, The image point of A after a translation right 1 unit and down 2 units is point B (9, 3) so we go exact opposite 1 unit left and 2 units up which is

(- 1, 2).

∴ The pre-image point A is (8, 5).

learn more about translations here :

https://brainly.com/question/12463306

#SPJ2

Answer:

65 in and 39 in respectively

Step-by-step explanation:

Let r be the common ratio; when we multiply both L and R by this common ratio, we'll get the actual length and actual width of the rectangle,  Recalling that the formula for the perimeter of a rectangle is P = 2L + 2R, we get:

2(5r) + 2(3r) = 16r = 208 in

Then r = 208/16 = 13

Thus, the actual length is 5(13 in) and the actual width is 3(13 in.),

or 65 in and 39 in respectively.

As a check, calculate 65 in / 39 in; this comes out to 5:3, as required.

Then

Answer:

The sale price is $763.20

The price for club members is $610.56

The current selling price is $763.20, and the cost to members with an additional  10% reduced rate is $686.88.

A percentage is a ratio or number that may be expressed as a fraction of one hundred. And the sign for it is "%."

Given, a computer store buys a computer system at a cost of ​$572.40.

And the selling price was first at $954​, but then the store advertised a 20% markdown on the system.

To find the current sale price:

Current sales price;

use percentage formula,

= $954 - (20% × $954)

= $954 - (0.2 × $954)

= $954 - $190.80

= $763.20

To find the cost to club members at 10% additional reduced price:

use percentage formula,

= $763.20 - (10% × $763.20)

= $763.20 - (0.1 × $763.20)

= $763.20 - $76.32

= $686.88

Therefore, the current sale price is $763.20, and it will cost $686.88 to the members.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Answer:

i think its d

Step-by-step explanation:

not copying i think

Answer:

C - y = 3x - 2

Step-by-step explanation:

I took the test. Hope this helps! :)

Answer:

314 million

Step-by-step explanation:

Given that :

Number of motor vehicle in the U.S for every 1000 people = 828

If the number of motor vehicle in the United States = 260 million

Then,

Let x = number of people Given number of vehicles = 260,000,000

1000 people = 828 vehicles

x = 260,000,000

828x = (260,000,000 * 1000)

828x = 260,000,000,000

x = 314009661. 835

x = 314 million (approx)

Answer:

It is linear because if all x values are different, it makes it linear.

Answer:

12.5 hours

Step-by-step explanation:

[tex]\frac{400}{32}[/tex] = 12.5

Answer:

12 hours and 30 minutes

Step-by-step explanation:

400/32 = 12.5

Answer:

(-3,-6)

Step-by-step explanation:

We know that rectangles are four-sided shapes made up of four parallel lines. Opposite sides are congruent. We can do a quick graph, keeping those criteria in mind, and quickly figure out that the missing point is (-3,-6).

Hope this helped!

Answer:

It’s c my fren its 40 because you are doing the math as in adding and multiplying..... I tried to help lol tell me if I’m wrong.

Step-by-step explanation:

Step-by-step explanation:

95+8x+5=180

100+8x=180

8x=80

X=80/8

x=10

Answer:

You are correct.

Step-by-step explanation:

y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.

Curse at it and move on.

Answer:

was

went

began

did

made

grow

sell

get

rang

I don't know if it's right though?

Answer:

was

went

began

did

made

grew

sold

got

rang

Answer:

7B, 8C, 9D, 10A

Step-by-step explanation:

Answer:

An 11 inch radius pizza costs Php 14.63!

Step-by-step explanation:

We have to find the average cost for each inch radius of pizza!

8/6 = 1 1/3

The average cost is Php 1.33

Now we multiply that by 11

1.33 * 11 = 14.63

An 11 inch radius pizza costs Php 14.63

A pizza with a 6 inch radius costs Php 8.00.

A pizza with 11" radius costs Php 26.88.

Let:-

k = constant

c = cost of a pizza

r = radius of pizza

The cost of a pizza varies directly as the square of its radius.

[tex]c[/tex] ∝ [tex]r^{2}[/tex]

[tex]c=kr^{2}[/tex]

Where: c = 8, r = 6

[tex]8=k(6)^{2} \\k=\frac{8}{36} \\\\k=\frac{2}{9}[/tex]

When r = 11 inch

[tex]c=kr^{2}\\c=(\frac{2}{9})(11)^{2}\\c=26.88[/tex]

Therefore, A pizza with 11" radius costs Php 26.88.

For more information:

https://brainly.com/question/10699272

The probability helps us to know the chances of an event occurring. The number of possible outcomes When Denato pulls a pen from the bag is 29.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that the bag has 8 red pens, 7 blue pens, and 14 black pens. Therefore, if Denato will pull a pen from the bag the number of possibilities will be the sum of all the number of pens.

Number of Possibilities = 8 + 7 + 14 = 29

Thus, the number of possible outcomes When Denato pulls a pen from the bag is 29.

Learn more about Probability:

https://brainly.com/question/795909

Answer:

29

Step-by-step explanation:

There are 9 pens, so 29 outcomes

Answer:

-2

Step-by-step explanation:

1 - 3z ≤ 7

First you subtract 1 from both side, then you should get an answer of 6. After that divided by -3 on both side and you should ended up with a answer of z ≤ -2.

Hope this help!

Answer:

5.00

Step-by-step explanation:

Answer:

Is A

Step-by-step explanation:

(2-4)/(-2--6) = -1/2

And the only answer that has -1/2 as the slope is A

Answer:

- 7n ≤ 77

Step-by-step explanation:

- 7n ≤ 77

n ≥ - 11

Answer:

Y = - 6/5 + 5

Step-by-step explanation:

Go to the point (5,-1) on a graph and use the slope to find the y-intercept (5 to the left, then 6 up)

Answer:

Step-by-step explanation:

b = bouquet c = centerpieces

13b + 4c = 487

6b + 2c = 232

Answer:

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30

Step-by-step explanation:

Answer:

The volume of the geometric solid produced is 391 cubic cm ⇒ A

Step-by-step explanation:

When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle.

The rule of the volume of the cone is V = [tex]\frac{1}{3}[/tex] π r² h, where

∵ Triangle XYZ is rotated 360° about the vertical side YZ

∴ It formed a cone with a radius = XZ and a height = YZ

∵ [tex]\frac{YZ}{XZ}=tan(60)[/tex]

∵ YX = 6√3

∴ [tex]\frac{6\sqrt{3}}{XZ}=tan(60)[/tex]

∵ tan(60) = √3

∴ [tex]\frac{6\sqrt{3}}{XZ}[/tex] = √3

→ By using cross multiplication

∴ 6√3 = XZ(√3)

→ Divide both sides by √3

∴ 6 = XZ

∵ XZ = r and YZ = h

∴ r = 6 and h = 6√3

→ By using the rule of the cone above

∵ V = [tex]\frac{1}{3}[/tex] (π) (6)² (6√3)

∴ V ≅ 391 cm³

∴ The volume of the geometric solid produced is 391 cubic cm

9514 1404 393

Answer:

  (x, y, z) = (8√7/105, 2√7/21, 4√7/35)

Step-by-step explanation:

The algebra is straightforward, if tedious.

We'll define X = x^2, Y = y^2, Z = z^2, -1/16 = a, -1/25 = b, -1/36 = c. Then the equations become ...

  √X = √(Y +a) +√(Z +a) . . . . [eq1]

  √Y = √(Z +b) +√(X +b) . . . . [eq2]

  √Z = √(X +c) +√(Y +c) . . . . [eq3]

__

As with any radical equation, you square both sides, isolate the remaining radical, then square both sides again. Each squaring introduces extraneous solutions.

The equations are symmetrical, so we can do the tedious stuff on the first one, then make the appropriate substitutions to see the other two equations.

  X = Y +a + 2√((Y+a)(Z+a)) +Z +a

  X - Y - Z -2a = 2√((Y+a)(Z+a)) . . . . isolate the remaining radical

  (X -Y -Z -2a)^2 = 4(Y+a)(Z+a) . . . . square both sides again

  X^2 +Y^2 +Z^2 +4a^2 -2XY -2XZ +2YZ -4aX +4aY +4aZ = 4YZ +4aY +4aZ +4a^2

Subtracting the right side gives ...

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4aX = 0 . . . . [eq4]

Then the remaining equations are ...

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4bY = 0 . . . . [eq5]

  X^2 +Y^2 +Z^2 -2XY -2XZ -2YZ -4cZ = 0 . . . . [eq6]

Subtracting [eq6] from [eq5] gives a relation between Y and Z:

  -4bY +4cZ = 0

  Z = bY/c . . . . [eq7]

Substituting this into [eq4], we have ...

  X^2 +Y^2 +(bY/c)^2 -2XY -2X(bY/c) -2Y(bY/c) -4aX = 0

  X^2 +Y^2(1 -2b/c +(b/c)^2) -2XY(1 +b/c) -4aX = 0 . . . . [eq8]

Subtracting [eq5] from [eq4] gives a relation between X and Y:

  -4aX +4bY = 0

  Y = aX/b . . . . [eq9]

Substituting this into [eq8], we have ...

  X^2 +(aX/b(1 -b/c))^2 -2X(aX/b)(1 +b/c) -4aX = 0

Dividing by X* gives a linear equation in X:

  X(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c)) -4a = 0

  X = 4a/(1 +(a/b(1 -b/c))^2 -2a/b(1+b/c))

Substituting the above values for a, b, c, we have ...

  X = 64/1575

  x = √X = √(64/1575) = 8/(15√7)

  Y = X(25/16)

  y = x(5/4) = 2/(3√7)

  Z = Y(36/25)

  z = y(6/5) = 4/(5√7)

The solution is ...

_____

* At this point the equation is of the form pX^2 +qX = 0 or X(pX +q) = 0. One solution is X=0, which is extraneous. The solution of interest is X = -q/p.

Answer:

The answer is 27.25 dollars

Answer:

A. Parallel Lines  (Zero)

B. Intersecting Lines (One)

C. Coincident Lines (Infinitely Many)

Answer:

Step 3 is wrong because the subtraction property of equality was used incorrectly

Step-by-step explanation:

Henry showed all the steps he took to solve the equation.

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15

Step 2

3 x + 28 = 15

Step 3

3 x = 15

Step 4

x = 5

Verifying the steps

The steps as show in the question is

4 (negative one-half x + 7) + 5 x = 15 Step 1

-Negative 2 x + 28 + 5 x = 15 (Distributive property of equality) This is correct

Step 2

3 x + 28 = 15(Addition property of equality this is correct)

Step 3

3 x = 15 (Subtraction property of equality) This is incorrect

The correct form is

3x +28 - 28 = 15 - 28

3x = -13

Step 4

x = -13/3

x = - 4.3333333333

Henry's solution is incorrect because Step 3 is wrong because the subtraction property of equality was used incorrectly.

x = -4.3

Answer:

c

Step-by-step explanation: