What is the equation of the following graph in vertex form?



y = (x − 2)2 + 1
y = (x − 1)2 + 2
y = (x + 2)2 + 1
y = (x + 2)2 − 1

Answer:

boys + girls = 20

boys 2/20 girls 2/20 but if boy and girl are chosen it is a 1/20 chance of boy and girl are chosen so 2/20 =1/10

Step-by-step explanation:

Answer:

the answer os

Step-by-step explanation:

i m only n 5th grade

Answer:

(0, - 3 ) and (2, 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y = x² - 3 → (2)

Substitute y = x² - 3  into (1)

x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

x² - 2x = 0 ← factor out x from each term

x(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x - 2 = 0 ⇒ x = 2

Substitute these values into (1) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )

Answer:

(0, - 3 ) and (2, 1 ) 100% correct

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

If $42 is the amount of 30% of the price of a bycicle, we can quickly find the total amount by dividing 42 by .3.

42/0.3 = 140

$140 is your final answer!

Hope this helps!

Answer:

There are no answer choices

Step-by-step explanation:

I am sorry!

Answer:

What number?

Step-by-step explanation:

Steps to solve:

-3(x + 4) = 15

~Distributive Property

(-3 * x) + (-3 * 4) = 15

~Simplify

-3x - 12 = 15

~Add 12 to both sides

-3x - 12 + 12 = 15 + 12

~Simplify

-3x = 27

~Divide -3 to both sides

-3x/-3 = 27/-3

~Simplify

x = -9

Best of Luck!

Answer:

L = 57 + 4D

After 36 days, the length of the road will be 201 miles.

Step-by-step explanation:

L = 57 + 4(36)

L = 57 + 144

L = 201

Answer:

26.08

Step-by-step explanation:

Answer:

26.08

Step-by-step explanation:

You need to use pythagorean formula. a^2 + b^2 = c^2

since b and c are the farthest you plug in you numbers

22^2 + 14^2 = 680^2

690^2 = about 26.08 miles

hope this helps!

Answer:

The correct answer is 71, correct on        e d g e n u i t y.

Step-by-step explanation:

Can i please get brainlist?

The measure of ∠1 in the diagram is 71 degrees.

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

From the given diagram,

63 + (15x - 3) = 180°          (sum of angles on a straight line)

15x = 120

x = 8

m∠1 = 8x + 7.                       (opposite angles are equal)

m∠1 = 8(8) + 7 = 71°.

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Answer:

210

Step-by-step explanation:

find the area of each rectangle and add it to the area of both the triangles

9(6) +5(9) +9(7)+(6(8))/2 + (6(8))/2

The surface area of the ramp will be 210 square cm. Then the correct option is B.

Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = (h x b) + (L₁ + L₂ + L₃) x W

Sean must determine how much paint he will use to cover all of the edges of his ramp.

The surface area of the ramp is calculated as,

SA = (8 x 6) + (5 + 6 + 7) x 9

SA = 48 + 18 x 9

SA = 48 + 162

SA = 210 square cm

The surface area of the ramp will be 210 square cm. Then the correct option is B.

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Answer:

c

Step-by-step explanation:

moving the figure over 7 units would put it directly over the a'

after that you can reflect the a over the x axis

The correct option is C. Translate [tex]7 \ units[/tex] to the right and then reflect over the x-axis.

To determine the transformations that map triangle [tex]\( A \)[/tex] to triangle [tex]\( A' \)[/tex]

1. Translation:

Observe the horizontal distance between the corresponding points of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].

Triangle [tex]\( A \)[/tex] is initially centered around [tex]\( x = 2 \)[/tex]., while triangle [tex]\( A' \)[/tex] is centered around [tex]\( x = 2 \)[/tex]

The horizontal distance from [tex]\(-5\)[/tex] to [tex]\(2\)[/tex] is [tex]\(7\)[/tex] units to the right.

2. Reflection:

Check the vertical positions of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].

Triangle [tex]\( A \)[/tex] is above the x-axis while triangle [tex]\( A' \)[/tex] is below the x-axis. This indicates a reflection over the x-axis.

Thus, the correct transformation sequence is to translate triangle [tex]\( A \) 7 units[/tex] to the right and then reflect it over the x-axis.

Answer:

the square root of 100 is +-10

Step-by-step explanation:

a square root is the number that when squared makes that number

10 squared =100

Answer:

Plus or minus 10

Step-by-step explanation:

10 times 10 is 100, also, -10 times -10 is 100

Answer:

B) 70

Step-by-step explanation:

Answer:

I think it is 70

Step-by-step explanation:

Answer:

It is 33 on edge 21.

Step-by-step explanation:

trust me :)

A. Always

Two lines don't always intersect, but the solutions are always where they intersect.

Answer:

The cook CANNOT make 12 pizzas without refilling the canister

Step-by-step explanation:

Please see the attached files for explanation

The pizzeria cook can make 12 pizzas without refilling the flour container.

The pizzeria stores flour in a 5-gallon container. Each pizza uses 7 cups of flour. To determine if the cook can make 12 pizzas without refilling, we need to calculate if 5 gallons of flour is enough.

Calculation:

5 gallons = 640 cups (since 1 gallon = 128 cups)

12 pizzas x 7 cups/pizza = 84 cups needed for 12 pizzas

Since the canister holds 640 cups and only 84 cups are needed for 12 pizzas, the cook can indeed make 12 pizzas without refilling.

Answer:

[tex] 10 {x}^{2} + 2x - 9[/tex]

Step-by-step explanation:

[tex](3 {x}^{2} + 2x - 5) + ( - 4 + 7 {x}^{2}) \\ = 3 {x}^{2} + 2x - 5+ 7 {x}^{2} - 4 \\ = 3 {x}^{2} + 7 {x}^{2} + 2x - 5- 4 \\ = 10 {x}^{2} + 2x - 9[/tex]

Answer:

I need an angle to find the degrase.

Answer:

D)151

Step-by-step explanation:

61° + 90° = 151°

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Answer:

1240 cm

Step-by-step explanation:

Diameter = 2 * radius

The radius is 620, making the diameter 620 * 2 = 1240

Answer:

the last option =  103 ft

Step-by-step explanation:

It is in the ratio of

1  :  30

Multiply each side by 5.5

5.5  :  165

convert 165 inches to feet

13.75

1  :  30

multiply each side by 3

3  :  90

convert 90 inches to feet

7.5

since it is asking for the area multiply 13.75 ft and 7.5 feet

13.75 * 7.5 = 103 ft

Answer:

daaang thats hard

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

in the november section, 25% is cut.

hope this helps :)

Answer:

Its 15, just trust me on this one

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

if b is less than 1, it is a decreasing function; if b is more than 1, it is an increasing function

Answer:

In parasitic relationships, the parasite is a term for a parasitic organism - it leeches substance from its host. In this case, the host is the dog.

Answer:

12. 268

13. 417

14. 83

Step-by-step explanation:

Answer:

18.8495559215 m

Step-by-step explanation:

It is 6 times pi.

Answer:

113.04

Step-by-step explanation:

30 gallons of water weighs 250 pounds.

To find the weight of 30 gallons of water, we can use the given conversion factor that 1 gallon of water weighs 8 1/3 pounds.

First, let's find the weight of 1 gallon of water in pounds:

1 gallon = 8 1/3 pounds

Now, we can calculate the weight of 30 gallons of water:

30 gallons = 30 x (8 1/3 pounds)

= 30 x (25/3 pounds)

= 250 pounds

Therefore, 30 gallons of water weighs 250 pounds.

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Answer:

33

Step-by-step explanation:

Usatestprep

The length of AC is 33. The correct option is B) 33

The diagram that illustrates the question is shown in the attachment below:

From the question,

We are to determine the length of AC.

To determine the length of AC,

First, we will determine the value of x.

From Triangle proportionality theorem,

We have that

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Then, from the diagram, we can write that

[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]

Now, we will solve for x

[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]

This becomes

[tex]x(x-3) = (x-7)(x+12)[/tex]

Clearing the brackets

[tex]x^{2} -3x = x^{2} +12x-7x-84[/tex]

Simplifying, we get

[tex]x^{2} -3x = x^{2} +5x-84[/tex]

Subtract x² from both sides

[tex]x^{2}-x^{2} -3x = x^{2}-x^{2} +5x-84[/tex]

[tex]-3x = 5x-84[/tex]

Then, subtract and 5x from both sides

[tex]-3x-5x = 5x-5x-84[/tex]

[tex]-8x = -84[/tex]

Now, divide both sides by -8

[tex]\frac{-8x}{-8}=\frac{-84}{-8}[/tex]

∴ [tex]x = 10.5[/tex]

From the diagram, we can observe that the length of AC is

AC = x +12 +x

Put the value of x into the above equation

That is,

AC = 10.5 + 12 + 10.5

∴ AC = 33

Hence, the length of AC is 33. The correct option is B) 33

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