The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 and 5. A larger triangle has side lengths of 9 and x + 1.

Answer:

y=4

Step-by-step explanation:

hello :

Y-3 (4-2Y) = 16​

y-12+6y = 16​

7y-12=16

so :7y =12+16

7y=28

y=28/7 =4

Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6

Answer:

-9 and 2

Step-by-step explanation:

plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.

To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, we can follow these steps:

1. Complete the square for the x-terms:

  Rearrange the equation to group the x-terms together:

  x^2 + 2x + y^2 + 4y = 44

  To complete the square for the x-terms, add (2/2)^2 = 1 to both sides of the equation:

  x^2 + 2x + 1 + y^2 + 4y = 44 + 1

  Simplify:

  (x + 1)^2 + y^2 + 4y = 45

2. Complete the square for the y-terms:

  To complete the square for the y-terms, add (4/2)^2 = 4 to both sides of the equation:

  (x + 1)^2 + y^2 + 4y + 4 = 45 + 4

  Simplify:

  (x + 1)^2 + (y + 2)^2 = 49

3. Identify the center and radius:

  The equation is now in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2

  Comparing this with our equation, we can see that the center of the circle is (-1, -2) and the radius is √49 = 7.

4. Plot the graph:

  The center of the circle is (-1, -2), which represents the point where the circle is centered. From this point, we can draw a circle with a radius of 7 units in all directions.

By following these steps, we can plot the circle on a coordinate plane, with the center at (-1, -2) and a radius of 7 units.

For more questions on circle .

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Note the full question may be:

To graph the equation of the circle x^2 + y^2 + 2x + 4y - 44 = 0, first rewrite it in standard form by completing the square for both x and y terms. Then identify the center and radius of the circle and plot the corresponding points to draw the graph.

Answer:

...

Step-by-step explanation:

Answer: the cost of admission

Step-by-step

answer:  the answer is

1/72

Answer:

Step-by-step explanation:

25b * (3a² - 1) = 25b * 3a² - 25b * 1

                     = 75ba² - 25b

Distributive law upon subtraction:

a(x - y) = ax - ay

Answer:

[tex]25b(3a*2-1)=25b(6a-1)[/tex]

Step-by-step explanation:

[tex]25b(3a*2-1)[/tex]

Multiply the numbers: [tex]3 * 2 = 6[/tex]

[tex]=25b(6a-1)[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Answer:

Step-by-step explanation:

35

Step-by-step explanation:

They told you that the mean is 7.

You know there are 5 numbers

Mean = (number 1 + number 2 + number 3 + number 4 + number 5) / 5 = 7

Sum = 7 x 5

= 35.

To fill one water cooler, we need 288 cups of water.

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given that a cylindrical water cooler can hold approximately 6104 in cubic of water.

And cylindrical cup with the height of 3 inches and diameter of 3 inches.

So let r be the radius of cup is 3/2 = 1.5 inch.

And we know that the volume of cylinder is given below by the formula;

volume of cylinder = π  r² h

So now the volume of cylindrical cup = (3.14) (1.5)² (3) = 21.195

That means one cup can only fill 21.195 cubic of water to the water cooler.

To find the how many cups can fill the water cooler,

we will divide the volume of water cooler by volume of cup.

That means, 6104 / 21.195 = 287.99

Approximating the value,

6104 / 21.195 = 288 cups of water.

Therefore the 288 cups of water can fill the water cooler.

To learn more about the cylinder;

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Answer:

1. 1.55π,

2. 16π,

3. 2.45π,

4. ( About ) 5.56π,

5. 13.7π

6. ( About ) 1.78π

Step-by-step explanation:

1. Let us keep the answer in terms of π, for the simplicity;

Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

62 / 360 = Area of sector / 9π,

62 * ( 9π ) = 360 * Area of sector,

558π = 360 * Area of sector,

Area of sector; 1.55π

2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,

Area of sector ⇒ 1 / 4 * 64π = 16π,

Area of sector; 16π

3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

98 / 360 = Area of sector / 9π,

98 * ( 9π ) = 360 * Area of sector,

882π = 360 * Area of sector,

Area of sector; 2.45π

4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

125 / 360 = Area of sector / 16π,

125 * ( 16π ) = 360 * Area of sector,

2000π = 360 * Area of sector,

Area of sector; ( About ) 5.56π

5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

137 / 360 = Area of sector / 36π,

137 * ( 36π ) = 360 * Area of sector,

4932π = 360 * Area of sector,

Area of sector; 13.7π

6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

160 / 360 = Area of sector / 4π,

160 * ( 4π ) = 360 * Area of sector,

640π = 360 * Area of sector,

Area of sector; ( About ) 1.78π

Answer: 54%

Step-by-step explanation:

In probability and logic theory, two events are said to be mutually exclusive or disjoint when both events cannot occur or happen at the same time.

A clear example of mutually exclusive event is the set of outcomes of a single toss of a coin which can either result in heads or tails, but can not be both.

P(S) = 30%, and P(T) = 24%

P(S or T) = P(S) or P(T) = 30% + 24%

= 54%

Answer: 6%

Step-by-step explanation:

Principal= $1875

Time= 10 years

Interest= $1125

Rate = Unknown

Recall that,

Interest= (Principal×Rate×Time)/100

I = PRT/100

100I = PRT

R= (100×I)/PT

Rate = (100 × 1125)/(1875 × 10)

Rate = 112500/18750

Rate= 6%

The rate is 6%

Answer:

80

Step-by-step explanation:

BECAUSE ON THE BOX PLOT ON HOW IT IS LOOK AT THAT LAST LINE AND LOOK HOW FAR IT GOES THATS HOW MUCH IT WOULD BE

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

Answer:

<LKH and <JKM

Step-by-step explanation:

<LKH and <JKM are vertical angles because they are vertically opposite.

Answer:

The answers are:

9 feet and 4 feet

3 feet and 12 feet

6 feet and 6 feet

Answer:

[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]

And replacing the value of [tex]\pi =3.14[/tex] we got:

[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]

Step-by-step explanation:

For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

[tex] r = \frac{D}{2}= \frac{6cm}{2}= 3cm[/tex]

And the surface area for a cylinder is given by this formula:

[tex]A= 2\pi r^2 +2 \pi rh[/tex]

And replacing the info given we got:

[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]

And replacing the value of [tex]\pi =3.14[/tex] we got:

[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]

Answer:

y = 1.3

Step-by-step explanation:

18y - 17 = 7

18y = 7 + 17

18y = 24

y = 24/18

y = 1.3

hope it helps!

Answer:

y=4/3

Step-by-step explanation:

To solve for y, we need to isolate it.

18y-17=7

Let's start by adding 17 to both sides.

18y=24

Next, we can divide both sides by 18.

y=24/18

Simplify.

y=4/3

Answer:

A constant rate of flow, that would be 40/18 = 2.2 gallon per minute

Hope this helps!

:)

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

Answer: Sandy.

Step-by-step explanation:

Elaine has 16 tablespoons of lemonade, and uses 2 per glass.

then she can make 16/2 = 8 glasses of lemonade.

Sandy has 18 tablespoons of lemonade, and she uses 3 per glass,

then she can make 18/3 = 6 glasses of lemonade.

Then Sandy can make less glasses of lemonade than Elaine, this means that Sandy runs out of mixt first.

Answer:

80

Step-by-step explanation:

you can take the ratio 2:3:4 as

2x + 3x + 4x = 180

9x = 180

x= 20

4(20) = 80

Answer:

D) 20

Step-by-step explanation:

Set up an equation: 2x+3x+4x=180

9x=180

180/9=20

Answer: D) 20degrees

Answer:

60 millimeters

Step-by-step explanation:

1 centimeter is 10 milimeters. So, 6 centimeters is 60 millimeters.

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Answer:

taco

Step-by-step explanation:

Answer:

(x,y) = (-6,-5)

Step-by-step explanation:

If you need the explanation let me know.

Answer:

x = -6

y = -5

Step-by-step explanation:

5x - 4y = -10

5x - 5y = -5

__________--

y = -5

5x - 4y = -10

5x - 4(-5) = -10

5x + 20 = -10

5x = -10 - 20

5x = -30

x = -30/5

x = -6

Answer:

the number is 5

Step-by-step explanation:

in an equation it will be 4x-3=17

4x=17+3

4x=20

x=20/4

x=5

hope this helps plzz mark me brainliest

Step-by-step explanation:

if you do the equation backwards you get your answer. add 3 to 17 . you get 20. then divide 20 by 4. your number would be 5.

Answer: ph+2b

Step-by-step explanation:

Answer:

920 ft²

Step-by-step explanation:

2 triangles + 3 rectangles

2(½×15×8) + 20(17+8+15)

120 + 800

920

Answer:

19

Step-by-step explanation:

plug both values in

Answer:

19

Step-by-step explanation:

Since it gives you the values of x and y, all you need to do is plug in the numbers, like so:

9x - 4y

9(3) - 4(2)

27 - 8

19

Answer:

Interest earned is $90

balance is $290

Step-by-step explanation:

[tex]\text{Plug in and solve:}\\\\3z\\\\3(9)\\\\\boxed{27}[/tex]

Answer:

27

Step-by-step explanation:

3z       z=9

3 times 9

27