Type the correct answer in each box. Use numerals instead of words. Consider this expression. (x+5)(x-7) Complete the box to show the distributive property applied to this expression.

Answer:

E; 3cm to 15km

Step-by-step explanation:

1cm to 5km

NOT A:

35cm to 1km

×5

175cm to 5km

NOT B:

1mm to 150km

÷ 30

1/30mm to 5km

NOT C:

1mm to 500m

× 10

10mm to 5km

NOT D:

5mm to 2.5 km

× 2

10mm to 5km

E:

3cm to 15km

÷ 3

1cm to 5km

Answer:

yes it  is a rational number

Step-by-step explanation:

if we convert the mixed fraction into an improper fraction, we will get:

6 1/2  = 13/2

Recall that the definition of an Rational number is that it can be expressed as a division of two integers.

in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)

hence according to our definition it is a rational number

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The mixed fraction number is given below.

⇒ 6  1/2

Convert the mixed fraction number into the fraction number. Then we have

⇒ 6  1/2

⇒ 6 + 1/2

⇒ (12 + 1)/2

⇒ 13/2

Convert the fraction number into a decimal number. Then we have

⇒ 13/2

⇒ 6.5

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

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Answer:

y = x - 2

Step-by-step explanation:

8 + 5y = 5x - 2

5y = 5x -2 - 8

5y = 5x - 10

5y/5 = (5x - 10)/5

y = x - 2

The equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

5x - 2 = 8 + 5y

The above equation represents the linear equation in one variable.

To solve for y make the subject as y

5y = 5x - 2 - 8

5y = 5x - 10

y = (5x - 10)/5

y = x - 2

Thus, the equation 5x - 2 = 8 + 5y can be written as in terms of x as y = x - 2; the answer is y = x - 2.

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16 / x = -8

First, let's divide both sides by x.

16 = -8x

Divide both sides by -8

-2 = x

16 / -2 = -8

Answer:

m = -2

Step-by-step explanation:

16 / m = -8

→ 16 = -8m

→ m = 16/-8

→ m = -2

Answer:

d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]

The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The distance between each pair of points (-1,4) and (1,-1)

Two points are (-1, 4) and (1, -1)

To find the distance between the above two points using the distance formula:

[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]

[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division

d = √[(2)² + (-5)²]

d = √(4 + 25)

d = √29 units

Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.

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Answer:

50

Step-by-step explanation:

Step 1:

(x ÷ 2) × 6 = 150

Step 2:

x ÷ 2 = 25

Answer:

x = 50

Hope This Helps :)

Answer:

start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.

Step-by-step explanation:

thats how you with graph it :)

Answer:

Step-by-step explanation: got you

slope 2/3

x   |    y

0      -1

2/3    0

Rational Numbers:  Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.

Irrational Numbers:  Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.

With this information, sort the given values into one of each of these categories.

Cheers.

Given:

Coordinates of point A are (2,8).

Point M(-2,2) is the midpoint of AC.

To find:

The coordinates of C.

Solution:

Let the coordinates of point C are (a,b).

Formula for midpoint:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the above formula, the midpoint of A(2,8) and C(a,b) is

[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{2+a}{2}=-2[/tex]

[tex]2+a=-4[/tex]

[tex]a=-4-2[/tex]

[tex]a=-6[/tex]

and,

[tex]\dfrac{8+b}{2}=2[/tex]

[tex]8+b=4[/tex]

[tex]b=4-8[/tex]

[tex]b=-4[/tex]

Therefore, the coordinates of point c are (-6,-4).

Answer:

I=150

Step-by-step explanation:

I=Prt

I=3000(?)(?)

divide 5% by 100

I=3000(0.05)(?)

1 year= 1

I=3000(0.05)(1)

I=150

According to the question,

Principle,

Interest rate,

Time,

We know that,

→ [tex]I = Prt[/tex]

By substituting the values, we get

       [tex]= 3000\times 0.5\times 1[/tex]

       [tex]= 150[/tex]

Thus the above approach is right.

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Answer:

work is attached and shown

Answer:

3p^2q^3r^2√r

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

Q(- 5, 2 ) → Q'(2, - 5 )

R(0, 5 ) → R'(5, 0 )

S(- 1, 2 ) → S'(2, - 1 )

The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).

The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.

Under a reflection in the line y = x

A point (x, y ) has reflected point (- x, - y )

Thus,

The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )

The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )

The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )

Thus, option C is the correct one.

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Answer:

First x=-2

Second x= -11.94

Step-by-step explanation:

1 |2x-3|+5=4

2x+3+5=4

2x+8=4

2x=-4

Divide by 2 for both parties

X = -2

Number 2

215x +31-10=3

215x+21=3

215x= -18

Divide by 215 on both sides

X= - 11.94

Answer: If James has 40 to spend then he has 33 for the two tickets he also has to get back so thats 26.

Step-by-step explanation:

Answer:

First one is <

Step-by-step explanation:

Second one is =

Answer:

B, C, C

Step-by-step explanation:

Answer:

I think ot a it been awhile sense I did algebra

Answer:

Step-by-step explanation:

(x + 2)/2 = 0

x + 2 = 0

x = -2

(y + 5)/2= 2

y + 5 = 4

y = -1

(-2, -1) the other endpoint

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

Answer:

28

Step-by-step explanation:

784=2×2​×2×2​×7×7​⇒784 ​=2×2×7=28

Answer:Angle

Step-by-step explanation:

The angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that

The figures are:

As we know the circle can be described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

From the definition of the angle; two lines or rays converge at the same point.

Thus, the angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture

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Answer:

  $3846.87

Step-by-step explanation:

Assuming the interest is compounded annually, the value in 3 years is ...

  FV = P(1 +r)^t

  FV = $3500(1.032^3) ≈ $3846.87

Sarah's account will be worth about $3846.87.

Answer:

24/32

Step-by-step explanation:

24/32 is the answer because:

1) We should first try to see if we can find a common denominator so it is easier to compare and find the larger number

2) The common denominator is 32 because 16 multiplied by 2 is 32 and 11 multiplied by 2 is 22. The new fraction is 22/32

3) Finally, compare 22/32 and 24/32, we know that 24 is bigger than 22. Therefore, 24/32 is greater than 11/16

Hope this helps!