Which of the following is the graph of the function y = (x – 3)2 – 2?

Answer:

The area of the square ABCD is 25 square units

Step-by-step explanation:

The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.

The area of the square is

[tex]A = a^2[/tex]

Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):

[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]

[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]

a = 5

Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:

[tex]A = 5^2 = 25[/tex]

The area of the square ABCD is 25 square units

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Answer:

170 peanuts I believe

Step-by-step explanation:

just did mental math, not sure if it's the right way

Answer:

there are 84 pages in the book.

Step-by-step explanation:

let's call the pages in the book b.

1/3b + 1/3b + 28 = b

2/3b + 28 = b

subtract 2/3b from both sides of the equation

2/3b - 2/3b + 28 = b - 2/3b

28 = b - 2/3b

28 = b/3

multiply both sides of the equation by 3

28 * 3 = b/3 * 3

28 * 3 = b

84 = b

Answer:

The book has 84 pages

Step-by-step explanation:

Equations

Let's make:

x = number of pages of the book

Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:

[tex]\displaystyle \frac{x}{3}+28+\frac{x}{3}=x[/tex]

Multiplying by 3:

[tex]x+84+x=3x[/tex]

Simplifying:

x = 84

The book has 84 pages

Answer:

it's b

Step-by-step explanation:

literally twelve minus m

Answer:

B

Step-by-step explanation:

12 minus m is, 12 - m

Answer:

x=45

Step-by-step explanation:

An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.

You then divide each side by 2 to get the x by itself which leaves you with x=45.

Answer:

if I did my math right it's 45 if not please fix me

Step-by-step explanation:

First thing is the the sides are congruent meant the angles have to be the same.

Next is the box indicates 90°.

Last thing is that every triangle is 180°

so if I did this right the equation is 2x+90=180

and using algebra in this you eliminate the 90 by subtract because - is the opposite of + which cancels itself and leaving the total with 90.

Then divide the 90 by 2 as it cancels out 2x leaving the answer with x=45

I hope this helps you

Answer:

y = 9x - 34

Step-by-step explanation:

(3 , -7) ; slope (m) = 9

Slope intercept form:

y - y1 = m(x -x1)

y - [-7] = 9 (x - 3)

y + 7  = 9*x - 9*3

y + 7 = 9x - 27

    y = 9x - 27 - 7

    y = 9x - 34

Answer:

-5/24

Step-by-step explanation:

-3/4 = -6/8

-6/8 + 1/8 = -5/8

|-5/8| = 5/8

2/3 = 4/6

4/6 + 1/6 = 5/6

5/8 - 5/6  =  15/24 - 20/24

15/24 + (-20/24) = -5/24

The question is incomplete. Here is the complete question.

Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?

A. [tex]2+12\sqrt{2}[/tex] units

B. [tex]7+2\sqrt{2}[/tex] units

C. [tex]10+4\sqrt{2}[/tex] units

D. [tex]12+2\sqrt{2}[/tex] units

E. [tex]12+4\sqrt{2}[/tex] units

Answer: E. [tex]12+4\sqrt{2}[/tex] units

Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.

The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.

Distance of two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Segment MN:

Coordinates: M (2,4) and N (5,8)

[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment ML:

Coordinates: M (2,4) and L (4,2)

[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment NP:

Coordinates: N (5,8) and P (8,4)

[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment PQ:

Coordinates: P (8,4) and Q (6,2)

[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment LQ:

Coordinates: L (4,2) and Q (6,2)

[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]

d = 2

Calculating perimeter (P):

P = MN + ML + NP + PQ + LQ

P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]

P = [tex]12+4\sqrt{2}[/tex]

Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units

Answer:

y=5/3x+5

Step-by-step explanation:

change slope in equation given to the negative reciprocal since the line is perpendicular:

-3/5 to 5/3

put values into point slope form y-y1=m(x-x1)

     y1 = y in the point given, which is 25

     m = slope, which is 5/3

     x1 = x in point given, which is 12

y-25=5/3(x-12)

then solve for slope intercept form y=mx+b to get

y=5/3x+5

Simple answer.

-1 x 3 = -3

3 is your x and -3 is your y.

Answer:

2 1/4 pints

Step-by-step explanation:

create a ratio with the fact there are 16 ounces in 1 cup

let 'p' = number of pints

16 = 36

 1         p

cross-multiply:  16p = 36

                            p = 36/ 16, which is 9/ 4, or 2 1/4

Answer: the square root of 9 is 3.

Answer:

You have two brackets..divide them as

x-3=0 and x-2=0

so x=3, x=2

The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.

To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.

Setting ( x – 3 ) = 0:

x – 3 = 0

x = 3

Setting ( x − 2 ) = 0:

x − 2 = 0

x = 2

Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.

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Answer:

110, 880 feet

Step-by-step explanation:

5,280 feet in one mile x 21 miles

Answer:

110, 880 feet

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: C. $6.00 monthly fee and $1.25 per video game

Step-by-step explanation:

I did the test

Answer:

so what is the question?

Answer:

Gordon types at 76 wpm

Step-by-step explanation:

You can find this by dividing the number of words typed by the number of minutes:

[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]

Answer:

78 Words per minute

Step-by-step explanation:

Unit Rate = 3666 Words in 47 minutes

Unit Rate = 78 Words per minute

Answer:

0.0006

Step-by-step explanation:

Answer:

(6x^(3)+11x^(2)-19x+5)-:-(3x-2)

Step-by-step explanation:[tex]63+112+32+1[/tex]

for some reason it showed that but yeah hope this helps!

Answer:

A

Step-by-step explanation:

48x^2-8x-18x=3

8x(6x-1)-3(6x-1)

(8x-3)(6x-1)

8x-3

Answer:

Step-by-step explanation:

48x2 - 26x + 3

48x2 - 18x - 8x + 3

6x( 8x - 3) - 1(8x - 3)

(8x - 3) and (6x - 1) are the factors

Option A is the correct answer

Answer:

D. (2, -3) and E. (4,-1)

Step-by-step explanation:

In quadrant IV, the possible x-coordinate that can be gotten can only be positive, while the possible y-coordinate can only be a negative value. Thus, the coordinate pair we can get is a positive x-coory and a negative y-coordinate (x, -y).

Therefore, from the list of options given, the two ordered pairs that belong in Quadrant IV are D. (2, -3) and E. (4,-1)

The answer fam is......... 38%

Answer: 38%

Step-by-step explanation:

80x0.62=49.60

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

Answer:

y=6

Step-by-step explanation:

y=3x     x=2

y=3(2)

y=6

For the given expression, the value of y is 6.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ y = 3x

Now, For value of x = 2;

The value of y is,

⇒ y = 3x

Substitute x = 2;

⇒ y = 3 × 2

⇒ y = 6

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Answer:

n=21

Step-by-step explanation:

Subtract 46 from both sides.

n+46−46=67−46

n=21

Answer:

n=21

Step-by-step explanation:

46-67=21

21=n

So the answer is 21.