a)The equation of a line β is 2x-3y=6
find the gradient of β
b) find the equation of the line which is parallel to β and passes through the point (6,9)

Answer:

11/3

Step-by-step explanation:

Answer:

[tex]900[/tex]

Step-by-step explanation:

Step 1:  Make an expression

What is 111% of 800

[tex]800 * (1 + 0.11) = x[/tex]

[tex]800 * (1.11) = x[/tex]

Step 2:  Multiply

[tex]800 * (1.11) = x[/tex]

[tex]888 = x[/tex]

Step 3:  Round to the nearest hundred

888

Since the tens place is greater than 5, we round up.

[tex]900[/tex]

Answer:  [tex]900[/tex]

Answer: Simplify 8/10 which is 4/5.

Step-by-step explanation:

Answer:

it depends on how big the floors are.

Step-by-step explanation:

Answer:

286

Step-by-step explanation:

1,144÷4=286

Answer:

25 in

Step-by-step explanation:

Answer:

25 miles

Step-by-step explanation:

If 1 inch equals 5 miles, which I wrote like 1in/5mi = 5in/x.

To find our answer we just multiply 5 miles by 5 inches to get 25 miles.

Answer:

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Answer:

A

Step-by-step explanation:

it is the cost  in dollars to rent the bowling lane for 14 hrs.

The function f(14) represents that the number of dollars it costs to rent the bowling lane for 14 hours and this can be determined by using the given data.

Given :

The total cost f(x), in dollars, for renting a bowling lane for x hours is shown:  f(x) = 2x + 12.

The following steps can be used in order to determine the correct statement:

Step 1 - The arithmetic operations can be used in order to determine the value of f(14).

Step 2 - Write the given function.

f(x) = 2x + 12

Step 3 - Substitute the value of 'x' in the above function.

f(14) = 2(14) + 12

f(14) = 40

Therefore, the correct option is A) The number of dollars it costs to rent the bowling lane for 14 hours.

For more information, refer to the link given below:

https://brainly.com/question/5245372

Answer: the guniuea pig is bigger by 25 centimeters!

Step-by-step explanation:

Fish= 40 milimeters = 4 centimeters

Guniuea pig= 25 centimeters

Answer:

the guniuea pig is bigger by 25 centimeters!

just easy

C. Coordinates of D' (-6,3)

Step-by-step explanation:

When any figure is rotated 180° in the counterclockwise direction, then the coordinates of the vertices is changed into its opposite sign.

(x, y) → (-x, -y)

The coordinates of the vertices of quadrilateral ABCD is changed when it is rotated 180 degrees counterclockwise about the origin as,

A (7,-7) → A'(-7,7)

B (4,-10) → B' (-4,10)

C (1.5, -2.5) → C' (-1.5, 2.5)

D (6, -3) → D'(-6,3)

So the coordinates of D' will be (-6,3)

Answer:

x > -3/14

Step-by-step explanation:

Step 1:  Subtract 2x from both sides

16x - 2x > 2x - 3 - 2x

14x > -3

Step 2:  Divide both sides by 14

14x / 14 > -3 / 14

x > -3/14

Answer:  x > -3/14

Answer:

4a² + 4ab + b² units²

Step-by-step explanation:

Area of a square = Length²

ER is a length of the square

ER = (2a + b)

Area of a square = (2a + b)² = (2a + b)(2a + b) = (2a)(2a) + (2a)(b) + (2a)(b) + (b)(b) = 4a² + 4ab + b²

The area of the square OSER = [tex]4a^{2}+4ab+b^{2}[/tex] sq unit

Step-by-step explanation:

Given,

Length of each side(ER) = (2a+b) unit

To find the area of the square OSER.

Formula

The area of a square with each side a unit is [tex]a^{2}[/tex] sq unit

[tex](a+b)^{2}= a^{2} +b^{2} +2ab[/tex]

Now,

The area of the square OSER = [tex](2a+b)^{2}[/tex] sq unit

= [tex]4a^{2}+4ab+b^{2}[/tex] sq unit [ by using the formula of ([tex]a+b)^{2}[/tex]]

=

1 /8  / 1 /4

=( 1/ 8 )( 4 /1 )

= (1)(4)/ (8)(1)

= 4 /8

= 1 /2  or 0.5

Answer:

1/2

Step-by-step explanation:

To multiply fractions we do keep change flip, keeping the first fraction, changeing the division into multiplication and flipping the last fraction so we don't have to go into decimals   so 1/8 divded by 1/4 becomes

1/8 * 4/1

Now we multiply the numerators together and the denominators together and then put it back in fraction form. Another option is to cross reduce, both will be shown.

Multiplying numerators and denominators

1 * 4 = 4

8 * 1 = 8

Put it into fraction form;

4/8          Now simplify

1/2

Cross Reducing

To cross reduce you can divde two numbers that are accross from each other in a fraction equation (Multiplication only) by the same number

1/8 * 4/1      The four and eight are across from each other so we can cross reduce by 4 because that is there gcf

then we have

1/2 * 1/1       now we multiply the numerators by numerators and the denominators by denominators in this case we don't have to go that far though because 1/1 is 1 and anything times one is itself, therefore the awnser is

1/2

Answer:

(a):  4(8x - 3)

Option B, 32x - 12 because 4(8x - 3) distributes as 4*8x + 4*-3 = 32x - 12

Option D, 4*8x - 4*3 because it simplifies into 32x - 12

(b):  7y + 2y + 8y

Option C, 17y because 7 + 2 + 8 = 17

Option A, 7y + 10y because it adds to 17y

Answer:

Step-by-step explanation:

Given that,

x^8/x^a=x²

Applying indices

Division rule a^m ÷ a^n = a^(m-n)

Then,

x^8/x^a=x²

x^(8-a)=x²

For this to be equal means that, the power are equals since they have the same base

Then, 8-a=2

8+2=a

So, a=10

Taking the second equation

(x^6)^b=x¹²

Using indices again

x^(6b)=x¹²

Also, for this to be equal

6b=12

Then, b=12/6

b=2

Then, b=2 and =10

We need to find b-a.

b-a=2-10=-8

Then, the answer to b-a is -8

Answer:

1) A - 42°

2) 74°

3) B - 45°

4) B - 66°

Step-by-step explanation:

1) E = D+H

87 = 45 + H

H = 42°

2) 180 - 50 - D

D = 180 - 44 - 62 = 74°

3) F = 105

H = 180-105 = 75

I + H = C + E

I + 75 = 83 + 37

I = 45°

4) D = 180 - (E + F)

D = 180 - (30 + 57) = 93°

93 = A + 27

A = 66°

Answer: In figure 1, angle H = 42°. In figure 2, angle F = 56°. In figure 3, angle I = 45° and in figure 4, angle A = 66°

Step-by-step explanation: Please refer to the attached diagram for details.

From figure 1, if angle E measures 87, then angle F would be calculated as

Angle F = 180 - 87 {Sum of angles on a straight line equals 180}

Angle F = 93

Then looking at triangle FHD, we have angles D and F as 45 and 93. Angle H = 180 - (45 + 93) {Sum of angles in a triangle equals 180}

Angle H = 180 - 138

Angle H = 42

From figure 2, if triangle ACB has two angles given as 44 and 62, then the third angle C, would be calculated as

Angle C = 180 - (44 + 62) {Sum of angles in a triangle equals 180}

Angle C = 180 - 106

Angle C = 74

Note that angle D equals angle C {Opposite angles are equal}. So if angle D measures 74, then looking at triangle FED, we have two angles already, E and D which are 50 and 74. To calculate angle F, the equation would be

f = 180 - 50 - 74

f = 56

That is, angle F = 56.

From figure 3, we have angles C and E given as 83 and 37. To calculate angle G

Angle G = 180 - (83 + 37) {Sum of angles on a straight line equals 180}

Angle G = 180 - 120

Angle G = 60

Also, to calculate angle H,

Angle H = 180 - 105 {Sum of angles on a straight line equals 180}

Angle H = 75

Looking at triangle GHI, we have identified two angles which are 60 and 75. To calculate the third angle which is angle I,

Angle I = 180 - (60 + 75) {Sum of angles in a triangle equals 180}

Angle I = 180 - 135

Angle I = 45

From figure 4, if angles B and E measure 27 and 30 respectively then the whole of that angle measures 27 + 30 which equals 57.

So looking at the biggest of all three triangles, two angles have been identified which are angles F and {B + E}

To calculate angle A

Angle A = 180 - (57 + 57) {Sum of angles in a triangle equals 180}

Angle A = 180 - 114

Angle A = 66.

Answer:

36 cubed pieces of fudge

Step-by-step explanation:

9 x 12 = 108

108 ÷ 3 = 36

Answer:

2/3

Step-by-step explanation:

i don't know how to explain it, but this is the answer :) good luck

Answer:

The dryer would cost 318 and the washer would cost 636

Step-by-step explanation:

954 divided by 3 = 318  318x2=636     318+638=954

Answer:

y = -5x + 9

Step-by-step explanation:

Hello!

Here is a chart on the slope intercept.

Hope This Helps!

Answer:

x = 2 , y = -3

Step-by-step explanation by elimination:

Solve the following system:

{3 x - y = 9 | (equation 1)

2 x - y = 7 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{3 x - y = 9 | (equation 1)

0 x - y/3 = 1 | (equation 2)

Multiply equation 2 by 3:

{3 x - y = 9 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{3 x - y = 9 | (equation 1)

0 x+y = -3 | (equation 2)

Add equation 2 to equation 1:

{3 x+0 y = 6 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 3:

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

0 x+y = -3 | (equation 2)

Collect results:

Answer: {x = 2 , y = -3

Answer:

x=2 y=7.

Step-by-step explanation:

3x-y=9

-2x+y=7

x=2

2(2)+y=7

4+y=7

-4. -4

y=7

Answer:

Step-by-step explanation:

24

Answer:

80%

Step-by-step explanation:

Answer:78

Step-by-step explanation:

77+67+99+79+100+65+79+89+58+67 = 780

Divide this number by the toal number of factor,which here is 10:

780/10 = 78

Answer:

Real number is any number. This includes integers, rational, and irrational numbers.

While integers are just positive or negative whole numbers that also includes 0.

Hope this helps!

Answer:

2000

Step-by-step explanation:

Answer:

it is 18

Step-by-step explanation:

that the ansewer if you divid

Final answer:

The length of the rectangle with a perimeter of 60 inches and a width of 12 inches is 18 inches, calculated using the perimeter formula for rectangles and solving for the length.

Explanation:

The question asks us to find the length of a rectangle given its perimeter and width. To solve this, we use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. In this case, we have P = 60 inches and w = 12 inches.

So, substituting the given values into the formula, we get:

60 = 2l + 2(12)

First, calculate the double of the width:

2(12) = 24 inches

Now, subtract this value from the total perimeter to find the double of the length:

60 - 24 = 36 inches

Finally, divide by 2 to find the length of the rectangle:

36 / 2 = 18 inches

Therefore, option B, 18 inches, is the correct answer for the length of the rectangle.