Write in standard form y=2(x-3)^2+2

Required values:

The length of one side of the garage was originally 17.7 ft long

The length of one of the sides of the garage is now 21.7 ft long

The percentage increase in length is 22.5%.

Given parameters are;

The area of the square garage is 314 ft.²

The area of the new garage has 50% more space

Required;

Initial side length:

The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;

s = √(314 ft.²) ≈ 17.7 ft.

New Side length:

The side was increased by 50%, to give,

314 + 0.5×314 = 471

The new area of the garage = 471 ft.²

The side length of the new garage, s = √(471) ≈ 21.7 ft

The side of the garage now is 21.7 ft.

Percentage increase in length:

The percentage increase is given as follows;

% increase in length

= new side length - old side length / old side length * 100  

= 21.7 - 17.7 / 17.7 *100

= 22.5 %

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Answer:

janice wants to put a fire at the mid point between two of her trees in her backyard. the coordinates of tree A are (3, 5) and the coordinates of tree b are (-3,-3). step by step thinking we want tree A is coordinat at 35. three b coordinate is -3-3 .janice stand between centre that from A mark 6feet so At B is 3

Answer: 5

Step-by-step explanation:

[tex]\sqrt{20+5}[/tex]=

[tex]\sqrt{25}[/tex]=5

Answer:

√(20 + 5) = 5

Step-by-step explanation:

Let's solve the problem,

→ x = √(20 + 5)

→ x = √25

→ [ x = 5 ]

Hence, the answer is 5.

No. of children in lamb, chicken, duck, and turkey category is 66, 24, 18 and 12 respectively.

Percentage is the value per hundredth.

According to the given question a survey was carried out among 120 school children looked at which type of meat they preferred. 55% said they preferred lamb,20% said they preferred chicken, 15% preferred duck and 10% turkey and we have to calculate no. of children in each category.

55% said they preferred lamb, So the no. of students i this category is

= (55/100)×120

= 66 children.

20% said they preferred chicken, So the no. of children in this category is

= (20/100)×120

= 24 children.

15% said they preferred duck, So the no. of children in this category is

= (15/100)×120

= 18 children.

10% said they preferred turkey, So the no. of children in this category is

= (10/100)×120

= 12 children.

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Answer:800

Step-by-step explanation:

2×2×2×10×10=800

Answer:

2^3*3^2=72

Step-by-step explanation:

1. A(2,8)  A'(6,7)

2. B(5,2) B'(9,1)

3. C(2,2) C'(6,1)

4. P(x,y) P'(x ₊ 4 , y ₋ 1)

5. x units to x ₊ 4 units.

   y units to y ₋ 1 units.

6. triangle A'B'C' (6 , 4)

7. triangle A'B'C' (7 , 5)

8. triangle ABC ( 3,2)

9. triangle ABC (4 , 4)

Given,

A set of values called coordinates helps to display a point's precise location in the coordinate plane.

we can observe the points from the graph we get the values for B' and C'.

P(x,y) P'(x₊,y₋)

P(2,5) P'=(6,4) ⇒(2₊4,5₋1)

P(3,6) P' = (3₊x' , 6₋y')  ⇒ (3₊4 , 6₋1) = (7,5)

P'(7,1) P = (x'₋4 , y'₊1)  ⇒ (7₋4 , 1₊1) = (3,2)

P'(8,3) P =  (x'₋4 , y'₊1) ⇒ (8₋4 , 3₊1) = (4,4)

hence we acquired the desired values of the points from the graph given.

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Answer: x = 10

Step-by-step explanation:

3(10) = 30 +2 + 32

Answer:

-53

Step-by-step explanation:

if m = − 4 , n = 1 , p = 2 , q = − 6 , r = 5 , and t = − 2

-| 10 - 7r + 8m + 2p |

Substitute the given values into the equation.

-| 10 - 7(5) + 8(-4) + 2(2) |

Simplify

-| 10 - 35 + -32 + 4) |

-| -53 |

= -53

Absolute value of -53 is 53 however there is a negative sign outside of it, so the answer is -53

Answer: Unable to answer

Step-by-step explanation: If you do not show what the constant rate is, I am unable to solve it for you.

The reciprocal of 150 will be 1/150.

We have a marine center has 150 parking spaces in front of its building.

We have to find the reciprocal of 150.

The reciprocal of a number is a number such that the product of both the numbers is equal to 1. Mathematically, if the original number is a, then its reciprocal will be 1/a , such that -

a x 1/a = 1

According to the question -

Let us assume that  A = 150

Now, from the definition of reciprocal, the reciprocal of A will be -

1/A. Therefore, the reciprocal of 150 will be = 1/150

Hence, the reciprocal of 150 will be 1/150.

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Answer:c=16

Step-by-step explanation:5c+35=-45=5c=-45-35=5c=-80. C=16

The given table of the values of f(x) is used to complete the table for the function [tex]y = f \left( \frac{1}{5} \cdot x \right) [/tex], to give;

The following values of x and y as follows;

x: -0.8, -0.2, 0, 0.6, 1.2

y: 7, -2, 3, -4, 5

Please also see the attached table

The question is with regards to scaling a graph horizontally.

Using the rule of scaling a graph, we have;

Given that a point on the graph of f(x) is (x, y), the corresponding point in the graph of f(C•x) is (C•x, y).

The given modification of the function is presented as follows;

[tex]y = f \left( \frac{1}{5} \cdot x \right) = f \left( 0.2 \cdot x \right)[/tex]

The points on the graph that completes the table are therefore;

The completed table is therefore;

x y

-0.8 7

-0.2. -2

0 3

0.6. -4

1.2. 5

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The magnification scale  used was 450:1

Saturn from Earth, it looks like it has a diameter of 20 μm.

d₁=20μm

Through a telescope, the diameter looks 9,000 μm long.

d₂= 9,000 μm

magnification scale = d₂/d₁

                                =  9,000 μm/20μm

                                =  450/1

magnification scale  used was 450:1

A scale factor is a number that can be used to adjust the size of any geometrical figure or object in relation to its original size. It's used to draw the enlarged or reduced shape of any given figure, as well as to calculate the missing length, area, or volume of an enlarged or reduced figure. It should be noted that the scale factor only affects the figure's size and not its shape.

A scale factor is a number or conversion factor used to adjust the size of a figure without changing its shape. It is used to enlarge or reduce the size of an object. If the dimensions of the original figure and the dimensions of the dilated (increased or lowered) figure are known, the scale factor can be determined. A rectangle, for example, has a length of 5 units and a width of 2 units. If we raise the size of this rectangle by a factor of two, the sides will become 10 and 4, respectively. As a result, we can use the scale factor to determine the dimensions of the altered figures.

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Answer:

-34.5

Step-by-step explanation:

Put together like terms:

-7x-6.5

-28-6.5

-34.5

Answer:

False

Step-by-step explanation:

The scale is for length only, when converting to area scale, you have to square both sides of the scale.

1 in² = 144 ft²

Answer: 35.

Step-by-step explanation: 33 + 34 + 35 is 102. Your 35 is the largest of the three.

The value of the square root of 64 is -8

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

The square root of a number is the values that will can multiply twice to give the resulting value in the root.

Given the expression below:

- √64

Since the square root of 64 is 8, hence;

-√64 = -1 * √64

-√64 = -8

Hence the value of the square root of 64 is -8

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The two column proof is completed by the substitution property of equality, which gives;

WX = XZ

XY = XZ

The completed two column table is presented as follows;

Statement. Reasons

1. X is the midpoint of [tex] \overline{WY}[/tex]. 1. Given

2. WX = XY 2. Definition of midpoint

3. [tex] \overline{WX} \cong \overline{XZ}[/tex]. 3. Given

4. WX = XZ 4. Definition of midpoint

5. XY = XZ 5. Substitution property of equality

6. [tex] \overline{XY} \cong \overline{XZ}[/tex] 6. Definition of congruency

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Answer:

[tex]\frac{211}{500}[/tex]

Step-by-step explanation:

[tex].4\bar{2}[/tex]  means the 2 repeats till infinity
[tex].4\bar{2}[/tex]  = .4222222222.....

To convert to fraction just take the first three decimal place digits 422 and divide by 1000 to convert to fraction

[tex].4\bar{2} = \frac{422}{1000}[/tex]

Dividing numerator and denominator of this fraction by 2 gives
[tex]\frac{422/2}{1000/2} =\frac{211}{500}[/tex]

This cannot be simplified further and therefore
[tex].4\bar{2} = \frac{211}{500}[/tex]

If we had chosen first 4 decimal digits then it would be[tex].4\bar{2} = \frac{4222}{10000} = \frac{2111}{5000}[/tex]
i.e. we divide by 10,000

Answer:

y = -4/3x + 2

Step-by-step explanation:

Point slope form is this:

y - y1 = m (x - x1)

Where m is the slope. y1 and x1 are where you put your coordinates.

so now we just plug it in.

y - (-2) = -4/3 (x - 3)

We should clean it up in order to make it look like this equation:  y = mx + b

y + 2 = -4/3x -4/3(-3)

y + 2 = -4/3x + 4

y = -4/3x + 2

Answer:

The equation for this question should be n+7=25

where n=18

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

80 /7=11.428

so each gets 11 so 77 so u do 80-77=3 so u would have 3 left over

Answer:

-0.28

Step-by-step explanation:

4 ÷ 8/9 -1/2

BODMAS

8/9 ÷ 4

8/9 x 1/4

2/9 x 1

2/9 - 1/2

= -0.2777

= -0.28

[tex] \: \: \: \: \: \: \: \bf\implies \: x > \frac{7}{2} [/tex]

[tex] \tt \mapsto2x > 7 \\ \tt \mapsto 2x = 7 \\ \ \ \tt \mapsto x = \frac{7}{2} \\ \tt \mapsto x > \frac{7}{2} [/tex]

Step-by-step explanation:

find the value of 8x³-y³if 2x-y and xy=-1

Answer:

-1 31/65

Step-by-step explanation:

I did this before trust me

Answer:

[tex] \sf \large - 1 \frac{31}{65} [/tex]

Step-by-step explanation:

6 2/5/-4 1/3

6 2/5/−4 1/3

=32/5/−4 1/3

= 32/5 −13/3

=32/5/−13/3

=−96/65

= −1 /31/65

Answer:

9 u^2

Step-by-step explanation:

there's 2 ways to solve this problem

easy way

plot every coordinate and youll see it's a square

square area = side^2

3^2 = 9 answer

and this method

working with 3 points (triangle)

W - X - Y

0       0                

0       3

-3       3

0       0

--------------

    2

--------------------------------------

0      0

0      -9

0      0

-----------

l-9/2l

4.5

since a square is made of 2 triangles

4.5 * 2 = 9 u^2

Answer:

1)x=20

3)p=−12

5)n=−9

7)r=−18

9)x=−2

11)n=46

2)n = 3

4)v=9

6)n=−6

8)k=−17

10)x=12

12)x=−32

Step-by-step explanation:

Let's solve your equation step-by-step.

1) 2+x=22

Step 1: Simplify both sides of the equation.

x+2=22

Step 2: Subtract 2 from both sides.

x+2−2=22−2

x=20

3) −6+p=−18

Step 1: Simplify both sides of the equation.

p−6=−18

Step 2: Add 6 to both sides.

p−6+6=−18+6

p=−12

5) −29=−20+n

Step 1: Simplify both sides of the equation.

−29=n−20

Step 2: Flip the equation.

n−20=−29

Step 3: Add 20 to both sides.

n−20+20=−29+20

n=−9

7) −5+r=−23

Step 1: Simplify both sides of the equation.

r−5=−23

Step 2: Add 5 to both sides.

r−5+5=−23+5

r=−18

9) 11=x+13

Step 1: Flip the equation.

x+13=11

Step 2: Subtract 13 from both sides.

x+13−13=11−13

x=−2

11) 101=n+55

Step 1: Flip the equation.

n+55=101

Step 2: Subtract 55 from both sides.

n+55−55=101−55

n=46

2) −15=−18+n

Step 1: Simplify both sides of the equation.

−15=n−18

Step 2: Flip the equation.

n−18=−15

Step 3: Add 18 to both sides.

n−18+18=−15+18

n=3

4) −18+v=−9

Step 1: Simplify both sides of the equation.

v−18=−9

Step 2: Add 18 to both sides.

v−18+18=−9+18

v=9

6) −19=n−13

Step 1: Flip the equation.

n−13=−19

Step 2: Add 13 to both sides.

n−13+13=−19+13

n=−6

8) −12=k+5

Step 1: Flip the equation.

k+5=−12

Step 2: Subtract 5 from both sides.

k+5−5=−12−5

k=−17

10) 11=−1+x

Step 1: Simplify both sides of the equation.

11=x−1

Step 2: Flip the equation.

x−1=11

Step 3: Add 1 to both sides.

x−1+1=11+1

x=12

12) x−36=−68

Step 1: Add 36 to both sides.

x−36+36=−68+36

x=−32

i think its 8. is the x days and y money?

Answer:

length x width x height (or depth) = volume

Step-by-step explanation:

761.25 or 761 1/4 is the answer