Which equation would you use to find the distance between the two points? A. |2 - 4| B. |2 - (-4)| C. |-5 - 5| D. |2 + (-4)|

Step-by-step explanation:

For this problem, you'll need two formulas:

Slope: y1 - y2/x1 - x2

Point Slope: y - y1 = m(x - x1)

First thing you need to use is the slope formula.

Plugging in your coordinates gives you:

[tex]\frac{-2-3}{4-2}[/tex] = [tex]\frac{-5}{-2}[/tex]

You can simplify this by getting rid of the negatives since two negatives make a positive.

Now to use the point slope formula.

For this formula, the slope we just found, [tex]\frac{5}{2}[/tex], replaces the m, and for the x1 and y1, you use one of the original points(either (4,-2) or (2,3)).

I'll be using the point (2,3). Now plug everything in:

[tex]y-3=\frac{5}{2} (x-2)[/tex]

First thing you should do is distribute the [tex]\frac{5}{2}[/tex]:

[tex]y-3=\frac{5}{2} x-5[/tex]

Next thing to do is get the y by itself by adding 3 to both sides, which gives you your answer of:

[tex]y=\frac{5}{2} x-2[/tex]

Hope this was helpful, good luck :)

Answer:

4/3  cups/tsp

Step-by-step explanation:

You want  cups / tsp    =   2/5 c / 3/10 tsp =    2/5 * 10/3   c/tsp = 20/15 = 4/3

Answer:

See below ~

Step-by-step explanation:

27. (B)

27. (C)

Answer:

1,

[tex] \frac{13a}{15b} [/tex]

2,

[tex]9[/tex]

Step-by-step explanation:

[tex] \frac{3a}{5b} + \frac{4a}{15b} [/tex]

[tex] \frac{45a}{75b} + \frac{20a}{75b} [/tex]

[tex] \frac{13a}{15b} [/tex]

2,

[tex] {3}^{6} \times {3}^{0} \div {3}^{4} [/tex]

[tex]729 \times 1 \div 81[/tex]

[tex]729 \div 81 = 9[/tex]

Step-by-step explanation:

A ) 3x-2

B ) -4x+5

I HOPE IT HELPED YOU

Answer:

C

Step-by-step explanation:

A number is n, therefore you can start off with 32 and subtract 4 getting you 28. Subtract 4 and you get 24, and again 20.

Answer:

Step-by-step explanation:

25% = 1/4 of 100

100 represents 200 people here, that means that if 25 = 1/4 to 100, then it is 1/8 to 200. 25x8=200

If 25% = 50, since 50x4=200 and 1/4 = 25% of 100%.

50... ok......

50 = 25%

Now, because there are 5 parts in 25, let's divide 5 by 50, that is 10. That means that 5 = 10 in that 50. 5% = 10 people

So, if 25-15=10

and then 5% = 10 people

5%+5%=10

10+10=20

That means, that 20 people more liked the movie than disliked it.

Answer:

1 2 3 5

Step-by-step explanation:

1 and 2 go into 6 and 10. 3 goes into 6 and 5 goes into 10

The slope or gradient has this formula when two points are given: m = y1 −y x1 −x In this case we have the points (-6,-8) and (-7,y) and m=-8.

Answer:

B.  F(x) = (x+1)/(x-1)(x+2)

Step-by-step explanation:

See attached graph.  Note how the two vertical lines at x = -2 and 1 match plot B

The following graph is of the rational function [tex]F(x) = \frac{x+1}{(x-1)(x+2)} \\[/tex]

What are asymptotes?

An asymptote is a straight line that constantly approaches a given curve but does not meet at any infinite distance.

The rational function does not exist at x = 1 and x = -2 ( as observed in graph). Thus, the denominator of the function consist (x-1) and (x+2). It is only in option B, thus it is correct.

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Answer:

s

Step-by-step explanation:

The expression that represents a perfect cube is expressed as: 6 × 6 × 6

A perfect cube, x, is such that x × x × x = x³ = ∛x.

Thus, we have:

6 × 6 × 6 = 216

Cube root of 216 = ∛216

∛216 = 6

We can then conclude that the expression that represents a perfect cube is: 6 × 6 × 6

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Answer:

6x6x6

Step-by-step explanation:

Answer:

  (c)  Add 3 to 9

Step-by-step explanation:

The order of operations tells you that quantities in parentheses are evaluated first.

Here, that means the first step is finding the sum 3+9.

Answer: x=-6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(9−x)=3(x+16)

Step 1: Simplify both sides of the equation by distribution

[tex]2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\[/tex]

Step 2: Subtract 3x from both sides.

[tex]-2x+18-3x=3x+48-3x\\-5x+18=48[/tex]

Step 3: Subtract 18 from both sides.

[tex]-5x+18-18=48-18\\-5x=30[/tex]

Step 4: Divide both sides by -5.

[tex]\frac{-5x}{-5} =\frac{30}{-5} \\x=-6[/tex]

Answer:

x = 15

Step-by-step explanation:

the 2 angles are a linear pair and sum to 180° that is

8x - 3 + 4x + 3 = 180

12x = 180 ( divide both sides by 12 )

x = 15

The angles are supplementary angles. Then the value of the variable 'x' will be 15.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The angles are 8x - 3 and 4x + 3. And they are supplementary angles. Then the equation is given as,

8x - 3 + 4x + 3 = 180

Simplify the equation, then we have

8x - 3 + 4x + 3 = 180

12x + 0 = 180

x = 15

The angles are supplementary angles. Then the value of the variable 'x' will be 15.

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Answer:

40%

Step-by-step explanation:

1.50 - 0.90 = 0.60

0.60 cents are saved.

[tex]\frac{0.60}{1.50} = 0.4[/tex]

0.4 = 40%

hope this helps :)

The three (3) products that resulted in a difference of squares are:

In Mathematics, the standard form for a difference of two (2) squares is given by a² - b² = (a + b)(a - b).

(3 + xz)(-3 + xz) = (3 + xz)(xz -3)

(3 + xz)(xz -3) = 3xz - 9 + x²z² - 3xz.

(3 + xz)(xz -3) = x²z² - 9

Therefore, x²z² - 9 ≡ a² - b²

(y² - xy)(y² + xy) = y⁴ + xy³ - xy³ - x²y²

(y² - xy)(y² + xy) = y⁴ - x²y²

Therefore, y⁴ - x²y² ≡ a² - b².

(64y² + x²)(-x² + 64y²) = (64y² + x²)(64y² - x²)

(64y² + x²)(-x² + 64y²) = 4096y⁴- 64y²x² + 64y²x² - x⁴

(64y² + x²)(-x² + 64y²) = 4096y⁴ - x⁴

Therefore, 4096y⁴ - x⁴ ≡ a² - b².

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Answer:

Step-by-step explanation:

Answer:

c. 34

Step-by-step explanation:

1) Add all the given prices on each day.

= 42.80 + 64.20 + 74.90

= 181.90

2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.

Let x = number of magazine subscriptions sold

5.35x = 181.90

x = [tex]\frac{181.90}{5.35}[/tex]

x = 34

Answer:

Step-by-step explanation:

The indicated angles are vertical angles since formed by two intersecting lines.

We know the vertical angles are congruent. Use this property to find the value of x and the angle measure

The angle measure

Opposite angles are equal

Answer:

A, E, B, D, C

Step-by-step explanation:

1) 6 is A

2) √83 = 9.11, so it is E

3) √40 = 6.3, so it is B

4) √64 = 8, so it is D

5) 7.5 is C

The expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

To find the equivalent expression, simplify the given equation with the help of mathematical operations.

The expression given in the problem is,

[tex]\sqrt[3]{216\times {27}}[/tex]

Let the expression which is equivalent to the above expression is n. Thus,

[tex]n=\sqrt[3]{216\times {27}}\\n=\sqrt[3]{216}\times \sqrt[3]{27}\\n=\sqrt[3]{6\times6\times6}\times \sqrt[3]{3\times3\times3}\\n=6\times3[/tex]

Thus, the expression which is equivalent to cube root of 216 x superscript 27 is 6 times 3 (6x3).

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Answer:

A

Step-by-step explanation:

Answer:

Your answer is D. 5 children, 12 teens, and 3 adults.

Step-by-step explanation:

45 children, 108 teens, and 27 adults.

x - children , y-teens, z-adults

45x + 108y + 27z

GCF for 45, 108, 27 is 9 so factory out 9 to all.

[tex]\frac{45}{9} ,\frac{108}{9} ,\frac{27}{9} \\5,12,3[/tex]

5 children, 12 teens, and 3 adults.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{It seems like all of your numbers are apart of the 9 factors. So, we will }\\\large\text{DIVIDE each of your numbers by 9 until we find out the total}\\\large\text{population (also known as your result to this equation)}[/tex]

“[tex]\large\text{45 children, 108 teens, \& 27 adults}[/tex]”

[tex]\large\textbf{Equation \# 1.}\\\\\large\boxed{\rm{\dfrac{45\ children}{9\ children}}}\\\\\\\large\boxed{= \rm{45 \ children \div 9 \ children}}\\\\\\\large\boxed{\rm{= 5\ children\ in\ total}}[/tex]

[tex]\large\textbf{Equation \# 2.}\\\\\large\boxed{\rm{\dfrac{108\ teens}{9\ teens}}}\\\\\\\large\boxed{= \rm{108\ teens \div 9 \ teens}}\\\\\\\large\boxed{= \rm{12 \ teens \ in \ total}}[/tex]

[tex]\large\textbf{Equation \# 3.}\\\\\\\large\boxed{\rm{\dfrac{27\ adults}{9\ adults}}}\\\\\\\large\boxed{\rm{= 27\ adults \div 9 \ adults}}\\\\\\\large\boxed{\rm{= 3\ adults\ in\ total}}[/tex]

[tex]\huge\textbf{Therefore, your answer is:}\\\\\huge\boxed{\textsf{Option D. 5 children, 12 teens, 3 adults}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

no of sweet gave to peny is 24×3/8 = 9 sweets

rest was ate by him

so the sweet ate by him is 24-9 = 15 sweet

hope this helps you kindly mark me as brainliest and follow me

Based on the amount of sweets eaten by Gary and Ben, the person with more sweets left is Ben.

The sweets left by Gary are:

= 24 - (24 x 3/8)

= 24 - 9

= 15 sweets

The sweet left by Ben are:

= 30 - (2/5 x 30)

= 30 - 12

= 18 sweets

In conclusion, Ben has more sweets left.

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Answer:

Option B I.e -1/2

Step-by-step explanation:

Option B I.e -1/2

Answer:

Step-by-step explanation:

Answer:

3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft

Step-by-step explanation:

3. use proportions:
[tex]\frac{h}{50} = \frac{50}{12.5}[/tex]
50(50) = 12.5h
h = 200ft

4.
[tex]\frac{h}{6} =\frac{7}{2}[/tex]
6(7) = 2h
h = 21ft

5.
[tex]\frac{25}{8} =\frac{x}{12}[/tex]
25(12) = 8x
x = 37.5m

6.
[tex]\frac{9}{15} =\frac{h}{7}[/tex]
9(7) = 15h
h = 4.2ft

[tex]2x \times \frac{4}{3} = 4x \times \frac{2}{3}[/tex]

[tex] \frac{8x}{3} = \frac{8x}{3} [/tex]

Both are equivalents

Answer:

x=-96

Step-by-step explanation:

isolate x by moving -124x to the other side by adding -124x to -126x = -2x

then it will look like: 102= -2x-90

add 90 to both sides: 192= -2x

divide both sides by -2 to isolate x

x= -96

Answer:

81%

Step-by-step explanation:

200-38= 162

162/200= 81/100

81%

Answer:

93%

Step-by-step explanation:

100 x 186= 200 * x

18600/200 = 200x/200

93%=x

186/200 = 0.93

convert decimal to percent

0.93 x 100= 93%

​

Answer:

9.5 cubic units

Step-by-step explanation:

You need to multiply everything together and divide by 2.

5 x 2 x 1.9/2 = v

19/2 = v

9.5 cubic units