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The slope of the line that contains the given points E(6,3) and, F(-6,3) is 0.

It is given in the question that the line contains the points E(6,3) and F(-6,3).

We know that:-

The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-

m = (d-b)/(c-a)

Here, we have

m = slope of the line

(a,b) = (6,3)

(c,d) = (-6,3)

Hence, putting the values of (a,b) and (c,d) , we get

Slope of the line that contains the given points E(6,3) and, F(-6,3) is given by:-

(3-3)/(-6-6) = 0/-12= 0

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Answer:

[tex]2 \sqrt{45} [/tex]

Answer: (1) y= 2*4-1

(2) y= 2*0-1

Step-by-step explanation:(1) y=8-1

y=7

(2) y=0-1

y= -1

f (0) = 1 is the output for the given input .

What is  linear function ?

f(x)= -4 x+1

Put x = 0    ⇒   - 4 × 0 + 1

                  ⇒   0 + 1

                  ⇒   1

Therefore f (0) = 1

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Here we can conjecture that :

The measure of an exterior angle is equal to the sum of measures of its nonadjacent interior angles.

The exterior angle of any polygon is defined as the angle which is at the outside boundaries of that polygon. whereas, the interior angle is defined as the angle which is inside the polygon. In the other words if the polygon has the point within the angle it is in the interior of the angle , but if the point is outside then is it said to be in the exterior of the angle.

Non adjacent angles are those angles which are not adjacent to each other. The non adjacent angles follow one of the  properties which are listed below:

In the given question,

taking a example say a triangle ABC with  ∠A=64,  ∠B = 45 and an external angle x to the side AC.

as sum of angles equal to 180

thus,  ∠A +  ∠B +  ∠C = 180

         64 + 45 +  ∠C = 180

          ∠C = 180-109 = 71

now as x is external to  ∠C,

therefore x = 180 -  ∠C = 180 - 71

                x = 109 =  ∠A +  ∠B

Hence we can make the conjecture that, the measure of an exterior angle is equal to the sum of measures of its nonadjacent interior angles.

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3*3=9

4*3=12

9*12=108 sq feet

Answer:

Step-by-step explanation:

10² + 2(6 - 3)²

100 + 2 (3)²

100 + 2(9)

100 + 18

118

Answer:

the midpoint is (-5,1)

Step-by-step explanation:

Answer:

316 or -316.

Step-by-step explanation:

x^3 - y^3 = (x - y)(x^2 + xy + y^2)

               = 4(x^2 + y^2 + 21)

x - y = 4

xy = 21

Substitute x = 4 + y in the last equation

(4 + y) y = 21

y^2 + 4y - 21 = 0

(y + 7)(y - 3) = 0

y = 3, -7.

So, x = 7, - 3.

So,  x and y are 7 and 3 or -7 and -3.

But x^2 + y^2 = 9 + 49 = 58 whichever is true,

So, x^3 - y^3

= 4(x^2 + y^2 + 21)

= 4 (58 + 21)

= 316,

If x = -3 and y = -7 , then the answer is

-316.

Answer:

7.5 hours

Step-by-step explanation:

Answer:

7.5 hours

Step-by-step explanation:

A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 km? 750km ÷ 100km/hr = 7.5 hrs.

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The algebraic expression of the mathematical statement is given as "The sum of k and 8" is k + 8

The mathematical statement is given as:

The sum of k and 8

In algebraic expression, "Sum" means +

This means that, the interpretation of the question is that we add k and 8

So, we have the following algebraic representation:

The sum of k and 8 ⇒ k + 8

Remove the mathematical statement in the above algebraic representation

i.e. k + 8

Hence, the algebraic expression of the mathematical statement is given as "The sum of k and 8" is k + 8

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The length of the third side of the right triangular flower bed is 10 feet.

A right-angled triangle is a triangle with one of its interior angles equal to 90°. The side opposite to the right angle is the largest side and is referred to as the hypotenuse. Hypotenuse is always greater than any of the other two sides.

If two of the sides of the flower bed are 7 feet long each, then these are the sides adjacent to the right angle. We are to find the length of the third side, which is the hypotenuse, using the Pythagorean theorem.

Pythagorean Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the two other sides.

c^2 = a^2 + b^2

where a and b are the adjacent sides to the right angle

c is the hypotenuse

c^2 = 7^2 + 7^2

c^2 = 49 + 49

c^2 = 94

c = 9.899

Hence, he length of the third side of the right-angled triangular flower bed is 10 feet.

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The required equation is 6x+7=331 and the no. of students traveling on each bus is 54.

A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. One or more variables are used in the most basic and simple algebraic equations in mathematics.

Given data:

Total no. of students: 331

Number of students on bus = 7

No. of buses = 6

Let the no. of the students on each bus be x.

So according to the given condition,
6x+7=331

6x=331-7

6x=324

x=324/6

x=54

Therefore, the required equation is 6x+7=331 and the no. of students travelling on each bus is 54.

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Answer: C

Step-by-step explanation:

6 planes

Answer: C, 6)

Step-by-step explanation: Area of square = a2 Square units, where a is the side length of square.

Area of rectangle = l × b Square units, where l is the length, b is the breadth.

Area of circle = π × r2 Square units, where r is the radius of a circle.

The number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Aisha is working two summer jobs, making $7 per hour babysitting and $8 per hour landscaping

Let the number of hours babysitting would be x

And the number of hours landscaping would be y

Last week Aisha worked 2 more hours babysitting than hours landscaping and earned a total of $134.

y = x + 2

7x + 8y = 134

Substitute the value of y = x + 2 in the equation,

7x + 8(x + 2) = 134

7x + 8x + 16 = 134

15x = 134 - 16

15x = 118

x = 118/15

x = 7.9

Substitute the value of x = 7.9 in the equation y = x + 2 ,

y = 7.9 + 2

y = 9.9

Therefore, the number of hours Aisha worked babysitting and landscaping last week is 7.9 hours and 9.9 hours respectively

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Answer:

(x,y)=(10,8)

Step-by-step explanation:

Let x be hours worked babysitting and y be hours worked landscaping.

We would have our first equation, 7x+8y=134.

Knowing that she worked 2 more hours babysitting than landscaping, we can determine and replace the x variable as: x=y+2

7(y+2)+8y=134

Use the distributive property to multiply 7 by y+2.

7y+14+8y=134

Combine 7y and 8y to get 15y.

15y+14=134

Subtract 14 from both sides.

15y=134−14

Subtract 14 from 134 to get 120.

15y=120

Divide both sides by 15.

y=120/15​

Divide 120 by 15 to get 8.

y=8

and since she worked 2 more hours babysitting, x=10.

Let's replace our values in the original equation:

7x+8y=134

7(10)+8(8)=134.

70+64=134.

Therefore, we can conclude that Aisha worked 10 hours babysitting and 8 hours landscaping last week.

Hope this helped!

The function that represents the Transformation of the graph is  F(X+1/2).

Different non-vertical lines have different slopes and/or y-intercepts. They are graphs of various linear functions. If there are two such lines, one can be considered a transformation of the other. There is a group of functions called the family, each function being a transformation of a special function called a parent. Linear functions form a series of functions. All linear functions are transformations of the function y = x. The function y = x is an upper linear function. Each family role is a transformation of a parent's role. The conversion type is translation. A translation moves the graph of the parent function horizontally, vertically, or both without changing shape or orientation. So, the function that represents this transformation is F(X+1/2).

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Answer: 2:3, 6:1, 4:1, 6:1

Step-by-step explanation:

The first step is by finding the GCF. For 24:36 the GCF is 12. Once you divide you get 2:3. For 12:2 the GFC is 2. For 16:4 it is 4 and you get 4:1 and finally 18:3 the GCF is 3 and you get 6:1.

[tex]f(x) = 4x^2+3\\f(-1)=4(-1)^2+3\\f(-1)=\boxed{7}[/tex]

Answer:

64

Step-by-step explanation:

2^6=2x2x2x2x2x2 which then equals to 64

Answer:

a < -2.

Step-by-step explanation:

14 < -2a + 6-2a

14 < -4a + 6

14 - 6 < -4a

-4a > 8

Divide both sides by -4:

a < -2.

Note that the inequality flips because we are dividing by a negative number.

Answer:

Part 1: The equation has no solution

Part 2: A value of a that makes the equation false is 2, which when substituted into the equation and simplified makes the equation turn into 2=4.

Another value of a that makes the equation false is -1, which when substituted and simplified makes the equation turn into -1=1.

There are honestly a lot of possible values for x for the second part here, but let me know if this is right

Step-by-step explanation:

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The plane's average speed during the flight is 381.43 miles per hour.

The average speed is the quotient of the total distance covered during the flight divided by the total time used.

The Average Speed is the scalar quantity that shows the rate of change in displacement from one point to another.

The distance for the first miles = 1,295 miles

The time it took the plane to cover the distance = 3 hours 33 minutes

The distance for the last lap = 738 miles

The time it took the plane to cover the last distance = 1 hour 47 minutes

The total distance covered for the journey = 2,033 miles (1,295 + 738)

The total time for the journey = 5 hours 20 minutes or 5.33 hours

Average Speed = 2,033/5.33

= 381.43 miles per hour

Thus, the plane's average speed during the flight is 381.43 miles per hour.

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Answer:

The next two terms is 144 and 169

It involves determining the fundamental quantities and units of measurement and tracking these dimensions while computations or comparisons are made.

Now, in that equation above, b represents the velocity of the motion. Now, the formula for velocity is;

Velocity = Distance/Time

Now, distance is also named Length and represented by L in basic parameters units while Time is represented by T.

Thus, the dimensions of b are; L/T or expressed as LT⁻¹.

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-89 can be represented by using 8-bit two's compliment as 10100111.

Binary encoding can be defined as a standard technique that is designed and developed to convert data in plain text (source alphabets) to a form that is easily used by different operating systems (OS), especially through the use of a binary digit (bit) or two-symbol system.

In Computer programming, two's complement of base-10 is generally easier to implement because it has a single representation of 0 only.

First of all, we would determine the positive version of -89, which is 89:

2 | 89

2 | 44 R 1

2 | 22 R 0

2 | 11 R 0

2 | 5 R 1

2 | 2 R 1

2 | 1 R 0

2 | 0 R 1

Next, you would read the decimal number (base-2) upward and this gives:

89₂ = 01011001.

For the negative integer number representation on 8-bits, we would replace all the 0s with 1s and the 1s with 0s as follows:

01011001 = 10100110

For the 8-bit two's complement, we would add 1 to the above number:

-89 = 10100110 + 1

-89 = 10100111.

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Answer:

(x - 1)^2 =1/2 ( y - 5) or 2x^2 - 4x - y + 7 = 0

Step-by-step explanation:

(x - 1)^2 =1/2 ( y - 5)

or

x^2 - 2x + 1 = y/2 - 5/2

2x^2 - 4x + 2 - y + 5 = 0

2x^2 - 4x - y + 7 = 0

Summit (1,5) = (h,k)

4p = 2

p = 1/2

(x - h)^2 = 1/2(y - k)

Answer: 55 degrees

Step-by-step explanation:

a+90+35=180 ==> a straight line measures 180 degrees and the angles a, a right angle, and 35 lie on that line. A 180 degree angle is called a straight angle. Also, if there is a tiny box in between an angle, that means that the angle is a right angle.

a+125=180

a+125-125=180-125

a=180-125

a=55 degrees

Answer: the number would be 6

Step-by-step explanation:

6 x 2 = 12, 12 - 5 = 7, so the number is 6

For sequence: 17,8,-1, ., the explicit formula is a(n) = 26 - 9n, the recursive formula is a(n) = a(n-1) - 9

To find the recursive and explicit formula, we need to find the common difference (d) first.

In an arithmetic sequence, the common difference is the difference between two consecutive terms.

So, in the given sequence: 17,8,-1, ..

d = a(2) - a(1) = a(3) - a(2)

d = 8 - 17 = -1 - 8 = -9

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The recursive formula for the arithmetic sequence [tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d

A recursive formula is a sequence in which terms are defined using one or more previous terms which are given. If we know the nth term of an arithmetic sequence and you know a common difference, d, we can find the (n+1)th term using the recursive formula.

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d

The sequence -2, 7, 16, 25,.... is in arithmetic sequence and its common difference is 7 - (-2) = (16-7)= 9 .

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The resale value is not significantly higher than the cost of remodeling a kitchen based on the computed p-value of 0.42 and 0.21.

Both the p-values of 0.42 and 0.21 are greater than the level of significance of 0.05. Hence, we fail to reject the null hypothesis. So, the resale value is not significantly higher than the cost of remodeling a kitchen based on the computed p-value of 0.42 and 0.21.

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