Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?

Answer:

sqrt d = 10

d = (10)^2

d = 100

Part b

x^2 = 144

x = 12 or -12

Step-by-step explanation:

Answer:

The slope is 4, and the y-intercept is 12.

Step-by-step explanation:

In the given question, the line goes through points (-3,0) and (-2,4).

We need to find the slope and the y-intercept of the line.

Slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

With points (-3,0) and (-2,4):

[tex]m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4[/tex]

The slope of the line is 4.

An appropriate equation for what we have so far is:

[tex]y=4x+b[/tex]

We can solve for 'b' to get the y-intercept.

Replace 'x' and 'y' with one of the coordinates and solve for 'b':

[tex]4=4(-2)+b\\4*-2=-8 \leftarrow \text {Distribute}\\4=-8+b\\4+8=-8+8+b \leftarrow \text {Addition Property of Equality} \\\boxed {12=b}[/tex]

The y-intercept is 12.

The answer should be: "The slope is 4, and the y-intercept is 12."

Answer:

The answer is d, which is the slope of 4 and the y- intercept is 12.

Step-by-step explanation:

Just took the test.

Correct me if I'm wrong.

Thank you

Tisa B Sora

Answer:

0.2667

Step-by-step explanation:

Answer:

.266 repeating

Step-by-step explanation:

divide 4 by 15 : )

Answer:

1. Arc angle

2. Angle at circumference

3. Base angle of an isosceles triangle

4. Sum interior of angles in a triangle

5. Sum interior of angles in a triangle

6. The sum of angles on a straight line

7. Sum interior of angles in a triangle

8. Sum interior of angles in a triangle

9. Angle from a tangent to the radius of a circle

10. Alternate angles of line crossing two parallel lines

Step-by-step explanation:

Here, we note that, the angles where derived as follows;

1. mBC = 90°, therefore, angle subtended by the arc BC at the center of the circle = 1 = 90°

2. 90° The angle at the center which is the straight line diameter with angle 180° = 2 × angle at the circumference

∴ The angle at the circumference, angle 2 = 180°/2 = 90°

3.  Angle subtended by the sum of arcs CD + DE at the center = 50°, therefore, ∡EOC = 50° and ∡EOA = 180° - 50° = 130° (the sum of angles on a straight line), since ΔAOE is an isosceles triangle, therefore, ∡OAE = ∡OEA = (180° - 130°)/2 = 25°

4. ∡A + ∡E + ∡C = 180° (Sum interior of angles in a triangle)

∴ 25° + 90° + ∡C = 180°

Hence ∡C = 180° - (90° + 25°) = 65°

5. From arc CD = 30°, ∡COD = 30°, ∴ ∡OBD = 30° = base angle of isosceles triangle with sides equal to the radius

Hence ∡8 = 30° from ∡8 + ∡1 + ∡OBD = 180° which gives

∡8 + 90° + 30° = 180°, hence;

∡8 = 180° - (90° + 30°) = 60°

∡8 = opposite ∡8 = 60°

Opposite ∡8 + ∡C + ∡5 = 180° (Sum interior of angles in a triangle)

Therefore ∡5  = 180° - (opposite ∡8 + ∡C) = 180° - (60° + 65°) = 55°

6. Angles 6 plus angle 5 = 180° (The sum of angles on a straight line)

Therefore, ∡6 = 180° - ∡5 = 180° - 55° = 125°

7. ∡7 + opposite ∡5 + ∡E = 180° (Sum interior of angles in a triangle)

∡E + ∡2 = 180° (The sum of angles on a straight line)

∴ ∡E = 180° - ∡2 = 180° - 90° = 90°

Hence, ∡7 + opposite ∡5 + ∡E = 180° = ∡7 + 55° + 90° = 180°

∴ ∡7 = 35°

8. ∡8 = 60° as found above

9. ∡9 = 90° (Angle from a tangent to the radius of a circle)

10. ∡10 = ∡8 = 60° (Alternate angles).

Answer:

A 28 and 45

Step-by-step explanation:

So keep in mind that columns must add up to the total numbers, and rows must add up to their total numbers.

We know that what goes in the box canoeing + swimming is

x + 43 = 71.

It needs to add up to 71!

x = 71 - 43 = 28

We know that what goes in the box no swimming + no canoeing is

34 + y = 79

It needs to add up to 79.

y = 19 - 34 = 45

So the answer is A. 28 and 45.

Now, I did this with the columns, but you could easily do this with the rows and get the same result!

Answer:

the diagonal of the second square = 4.24264068712

Step-by-step explanation:

3^2 + 3^2 = 18 =the diagonal of the second square ^2

the diagonal of the second square = 4.24264068712

Answer:

Step-by-step explanation:

y =  -x + 2 -------(i)

2x - y = -5  -----------(ii)

Substitute y = -x + 2 in equation (ii)

2x - (-x + 2) = -5

2x + x - 2 = - 5

3x - 2 = -5            {add 2 to both side}

3x -2 + 2 = -5 + 2

3x = -3   { divide both sides by 3}

3x/3 = -3/3

x = -1

Plug in the value of x in equation (i)

y  = - (-1) + 2

y = 1 +2

y = 3

Answer:

-129/7

Step-by-step explanation:

The additive inverse of a number is what you add to a number to create the sum of zero

129/7 + x = 0

It is the opposite of 129/7

-129/7

Answer:

For the great pyramid of Cheops, V + F = E + 2 gives 5 + 5 = 8 + 2 which proves Euler-Descartes formula

Step-by-step explanation:

The great pyramid of Cheops is a square based pyramid therefore we have;

V + F = E + 2

Where:

V = Vertices

F = Faces

E = Edges

Hence, we have for a square pyramid;

V = 5 vertices (One at the peak, and four  at the base edges)

F = 5 faces (The four lateral or side faces and the base)

E = 8 edges ( The four lateral edges and the four base edges)

Hence;

5 + 5 = 8 + 2 which proves Euler-Descartes formula.

Answer:

5x

Step-by-step explanation:

Answer:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

Steps to solve:

[tex]\frac{3x}{x^2+5x-14} -\frac{6}{x^2+5x-14}[/tex]

~Apply rule [ a/c ± b/c = a±b/c ]

[tex]\frac{3x-6}{x^2+5x-14}[/tex]

~Factor out [ 3 ]

[tex]\frac{3(x-2)}{x^2+5x-14}[/tex]

~Factor out [ x^2 + 5x - 14 ]

[tex]\frac{3(x-2)}{(x-2)(x+7)}[/tex]

~Cancel common factor [ x - 2 ]

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

The answers are Options 1, 2, and 3

Best of Luck!

Answer:

Your answer is A . 8

Step-by-step explanation:

hope it helps !

Answer:

C. [tex]\frac{21}{25}[/tex]

Step-by-step explanation:

[tex]\frac{8}{10+8+6+9+5+12}[/tex]=[tex]\frac{8}{50} =\frac{4}{25}[/tex]

so to not get a 2, the experimental probability would be [tex]\frac{21}{25}[/tex] or C

Answer:

C 21/25

Step-by-step explanation:

first yo need to add up every single number.

10+8+6+9+5+12=50

than do this

(10+6+9+5+12)/50=42/50=21/25

so the answer will C

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

Answer:

bhbhhbhjb

Step-by-step explanation:

Answer:

A,D, First and Last

Step-by-step explanation:

Answer:

All boxes but the top right box are linear.

Answer:

difference of squares

Step-by-step explanation:

a^2 - b^2 = (a-b)(a+b)

This is the definition of the difference of squares

Answer:

11.76

Step-by-step explanation:

We are given that,

Total number of students = 340

Students that prefer cheese pizza = 40

Students that prefer pepperoni pizza = 28

Thus, we get that,

The proportion of students that prefers cheese pizza =

i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%

Hence, 11.76% of the students prefer cheese pizza.

Answer:

y=3.50x+195

Step-by-step explanation:

y=3.50x+195

let y= total cost and x= square feet of carpet needed.

Answer:

D.

Step-by-step explanation:

Comparing Point P and P' by getting any coordinate.

we will take x coordinate

P has x-coordinate 2 while P' has x-coordinate 8

To find the scale factor, we will divide them

=8/2 gives 4 so the scale factor is 4 this means that rectangle PQRS is dilated 4 times of its perimeter.

So,

Perimeter of P'Q'R'S'= 16 × 6 = 64

Answer: The mean is the average of all the values. The median is the number that falls in the exact center of all the measurements, while the mode is the number that occurs most frequently. ... One way to measure variability, range, is the difference between the highest and lowest values in a data set.

Step-by-step explanation: Ok?

Answer:

d = 45 * t

Step-by-step explanation:

We know the equation as dert

distance equals rate * time

d = 45 * t

Answer:

d = 45 * t

Step-by-step explanation:

Step 1: Ok so for a. we can just need to build a equation representing the space the practice travels in t hours:

We can also recognize that it travels 45 mph, in order that is representing by 45(t).

d is the distance. So the equation is    d = 45(t)

Step 2: For phase b. we change 2.5 with t a the equation. Then we solve  it

d = 45(2.5)

45 * 2.5 = 112.5

Answer:

11x -35

Step-by-step explanation:

5(x – 7) + 6x.

Distribute

5x - 35 +6x

Combine like terms

11x -35

Answer:

11x-35

is the answer

Answer:

about 196

Step-by-step explanation:

Area= pi x radius squared.

If the area is 615, then you plug that into the formula

A=3.14x r squared= 615

Divide 615/3.14= about 195.54

Find the square root of 195.54 it equals about 14,

Multiply by two, about 196

Answer:

x=-8, y= -43

Step-by-step explanation:

y = 6x + 5

y= 4x - 11

Since both equations are equal to y, we can set them equal to each other

6x + 5= 4x - 11

Subtract 4x from each side

6x-4x+5 = 4x-4x-11

2x+5 = -11

Subtract 5 from each side

2x+5-5 = -11-5

2x = -16

Divide each side by 2

2x/2 = -16/2

x = -8

Now we need to find y

y = 6x+5

y = 6(-8) +5

   -48+5

   -43

Answer:

x = -8 y = -43

Step-by-step explanation:

y = 6x + 5

y= 4x - 11

6x + 5 = 4x - 11

2x = -16

x = -8

y = 4(-8) - 11

y = -32 - 11

y = -43

Answer:

The area of the circle is 314 in^2.

Step-by-step explanation:

10 inches is the radius.

The formula for the area of a circle is pi times radius squared.

So your equation would be: [tex]A=\pi (10)^2[/tex]

10^2 = 100

Then you do [tex]\pi[/tex] or 3.14 times 10 = 314.1592654 or just 314.

Hope I helped ya.

< Sarah >

The Area of Circle whose radius is 10 inch is 314 inch².

The area of a circle is the region of two-dimensional space occupied by a circle.

The area of a circle is pi times the radius squared (A = π r²).

i.e., Area of Circle = πr²

We have radius of Circle as

r = 10 inch

Using the Formula

Area of Circle = πr²

                       = 3.14 x (10)²

                       = 3.14 x 100

                       = 314 inch².

Thus, the Area of Circle is 314 inch².

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Answer: B 6400 m

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

We want to find a sine function such that:

The given options are:

Notice that the first information that we have, implies that y must be equal to 2 when x = 0.

Knowing that we can discard the third option which has a y-intercept of 4.

Now the second. Remember that for a general function:

y = A*sin(k*x) + M

Where A is the amplitude and M is the midline, the maximum and minimum are given by:

A + M

-A + M

In all the remaining options we have:

A  = ± 3

M = 2

We can see that with these we get the maximum and minimum of 5 and -1.

Finally, we know that it goes through one cycle at pi.

This means that if f(x) is the function, then:

f(x) = f(x + pi)

Also remember that for a general sine function, we have:

sin(x) = sin(x + 2*pi)

Ok, now let's analyze the options (only the sine part)

1) sin(2*(x + pi)) = sin( 2*x + 2*pi) = sin(2*x)

if we evaluate this in x + pi, we will get:

sin(2*( x + pi + pi)) = sin(2*(x + 2*pi)) = sin( 2*x + 4*pi) = sin(2*x)

So yes, option 1 is a correct option (you also can see that option 4 has the exact same sine part, so that option is also correct.)

2) for the second option the sine part is:

sin(x + pi)

if we evaluate this in x + pi we get:

sin(x + pi + pi) = sin(x + 2*pi) = sin(x)

and we have:

sin(x +pi) ≠ sin(x)

Then this function does not go through one cycle at pi.

We can conclude that the two options that meet all the conditions are the first one and fourth one:

1) y = -3*sin(2*(x + pi)) + 2

4) y = 3*sin(2*(x + pi)) + 2

We can't say which one is correct if we do not look at the graph.

If the function starts increasing, then (2) is the correct one, if the graph starts decreasing, then (1) is the correct one.

Below, you can see a graph of both functions:

The green one is y = 3*sin(2*(x + pi)) + 2,  the blue one is y = -3*sin(2*(x + pi)) + 2

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The total value of his large assets is $53,900.

Assets are defined as the possessions that a person or the company holds which has a value which affects positively for the person or the company.

Given that,

Amount in a checking account = $900

Amount as investments = $15,000

Amount for the car = $8000

Amount for the house = $30,000

Total value for the assets = $900 + $15,000 + $8000 + $30,000

                                           = $53,900

Hence the total value of the asset is $53,900.

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