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Answer:

[tex]\sqrt{74}[/tex]

Step-by-step explanation:

Distance between two points

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

[tex]\textsf{let}\:(x_1,y_1)=(2,-6)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(7,1)[/tex]

[tex]d=\textsf{length of segment AB}[/tex]

Substituting points into the distance formula and solving for d:

[tex]\implies d=\sqrt{(7-2)^2+(1-(-6))^2}[/tex]

[tex]\implies d=\sqrt{5^2+7^2}[/tex]

[tex]\implies d=\sqrt{25+49}[/tex]

[tex]\implies d=\sqrt{74}[/tex]

================================

[tex] \large \sf \underline{Answer:}[/tex]

[tex] \qquad\qquad \qquad \huge \bold{\sqrt{74} }[/tex]

================================

[tex] \large \sf \underline{Solution:}[/tex]

Solving;

Hence, the length of segment AB is √74.

================================

Answer:

19 toys

Step-by-step explanation:

Answer:

The answer is in the picture.

Step-by-step explanation:

[tex]2+\frac{3}{10x}\geq\frac{13}{20} \\\\\frac{3}{10x}\geq\frac{13}{20} -2 \\\\\frac{3}{10x}\geq\frac{13}{20} -\frac{40}{20} \\\\\frac{3}{10x}\geq-\frac{27}{20} \\\\3\geq-\frac{27}{20}*10 x \\\\3\geq-\frac{270}{20} x\\\\3\geq-\frac{27}{2} x \\\\3*-\frac{2}{27} \leq x\\\\-\frac{6}{27} \leq x\\\\-\frac{2}{9} \leq x[/tex]

Also x cannot equal to 0 if you plug in into the original equation the answer is indefinite/not solution.

Answer: THE ANSWER ON ACELLUS IS -1

Step-by-step explanation:

I found this answer on a site used to do sin cos and tangent

The y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]

To find the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \),[/tex] simply substitute [tex]\( x = \frac{3\pi}{2} \)[/tex] into the function:

[tex]\( y = \sin\left(\frac{3\pi}{2}\right) \)[/tex]

Now, let's evaluate the sine function at [tex]\( \frac{3\pi}{2} \):[/tex]

[tex]\( y = \sin\left(\frac{3\pi}{2}\right) = -1 \)[/tex]

So, the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]

To know more about x-value:

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Answer:

$40.50

Step-by-step explanation:

9% of 450 is 40.5

Answer:

f(x) = (x − 1)2(x + 1)(x − 3)

Step-by-step explanation:

Look at where the red line crosses/ touches the x-axis. This will give you the zeros.

It crosses at -1, touches at 1, and crosses again at 3

This means the zeros are -1, 1 and 3

Now, you need to have (x+1) (x-3) and (x-1) as factors.

Therefore, the answer is f(x) = (x − 1)2(x + 1)(x − 3).

Answer:

Part A

Solve by substitution.

Given equations:

⇒ 2x - 5 = -6x + 3

⇒ 2x - 5 + 5 = -6x + 3 + 5

⇒ 2x = -6x + 8

⇒ 2x + 6x = -6x + 8 + 6x

⇒ 8x = 8

⇒ 8x ÷ 8 = 8 ÷ 8

⇒ x = 1

To find y, substitute the found value of x into one of the equations:

⇒ y = 2(1) - 5

⇒ y = 2 - 5

⇒ y = -3

Therefore, the solution is (1, -3)

Part B

Substituting x = 1 into the equations:

y = 2x − 5

⇒ y = 2(1) − 5

⇒ y = 2 − 5

⇒ y = -3

y = -6x + 3

⇒ y = -6(1) + 3

⇒ y = -6 + 3

⇒ y = -3

When x = 1, both equations return a y-value of -3.  Therefore, the solution is verified.

Part C

If the two equations are graphed, the solution will be the point of intersection.

Answer:

8/9n - 3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

The Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

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.

Let's suppose the total cost is $x if Jocelyn purchase cake from store A:

x = 1.50×150 + 25

x = 225+25 = $250

Let's suppose the total cost is $y if Jocelyn purchase cake from store B:

y = 2.25×150

y = $337.5

Difference between total cost = 337.5 – 250 = $87.5

Thus, the Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

Learn more about the linear equation here:

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Answer:

$23.12

Step-by-step explanation:

With breakfast included the total would be $142.99. Without breakfast it would be $119.87. So to get the difference it would be:

$142.99 - $119.87 = $23.12

[tex]300a {}^{z + 1} bc[/tex]

Answer:

I believe it is y-5=3(x+7)

Step-by-step explanation:

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

The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.

Answer:

15, C

Step-by-step explanation:

Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.

Hope this helped!

~clouddragon

Answer:

Green: (2/11) * (1/10)

Yellow: (2/5) * (1/3)

Purple: (3/10) * (6/19)

Blue: (1/4) * (13/51)

Step-by-step explanation:

 Green:

>> Maria has 11 letters in her bag, and 2 of them are B's.

>> At first, the chance of drawing a B is 2 out of 11: 2/11.

>> Let's assume that everything goes according to plan, and she actually draws a B.

>> Then she has 10 letters, and only one of them is B (she already has the other one).

>> That means that the chance of drawing that B is 1 out of 10: 1/10.

>> Thus, (2/11)*(1/10).

 Yellow:

>> There are 11 + 13 + 16 = 40 items in the closet.

>> The probability of selecting a prop is 16/40 = 2/5 (there are 16 props and 40 items).

>> That means that there are 40-1=39 items left.

>> Therefore, the probability of selecting a costume is 13/39 = 1/3 (as there are 13 costumes and 39 items).

>> The answer is (2/5) * (1/3).

 Purple:

>> There are 6+8+6=20 jellybeans.

>> At first, Hannah grabs an orange candy (there are 6 of them): 6/20 = 3/10.

>> Then there are 19 candies left.

>> Then she grabs a pink one (there are 6 of them): 6/19.

>> The answer is (3/10)*(6/19).

 Blue:

>> There are 52 cards in a standard deck, 13 clubs, 13 spades, 13 hearts, 13 diamonds.

>> The 1st is a spade: 13/52 = 1/4.

>> There are 51 cards left.

>> The 2nd is a club: 13/51.

>> (1/4)*(13/51).

Answer:

2.4%

Step-by-step explanation:

Given information :

Solving :

The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A woodworking artist makes two types of carvings: type X and type Y.

He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.

His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.

If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.

Then the linear systems of inequalities models this situation will be

2x + 3y ≥ 30 and 6x + 4y ≤ 120

Thus, the correct option is A.

More about the linear system link is given below.

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Answer:

6

Step-by-step explanation:

Its simple,

first you find the multiplier, to do this you do:

6/4 which is 2.5

then we do 15 / 2.5

which is 6

Answer: b

Step-by-step explanation:

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

Here a triangular prism has been provided with some measurements.

We have to find Which expression can be used to find the surface area of the following triangular prism.

The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh

Here, S1, S2 and S3 are sides of triangles, l=length of the prism, b=base and h=height.

Now, (6+8+10)20+8×6=120+160+200+48

=2.24+120+160+200

The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.

To learn more about the surface area of the prism visit:

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Answer:

add the seven to one and divide by three then subtract two

Answer:

334 dozen cookies.

Step-by-step explanation:

1000=3x

Let x = dozen of cookies sold

3x=1000

x=1000/3

x=333.33

Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.

Because this is a right triangle, we can use a trigonometric function to solve for the missing side.

Remember: SOH-CAH-TOA

We are given an angle, as well as the adjacent side and hypotenuse. Therefore, we should use the cosine function to solve for x.

cos(67) = x / 15

x = cos(67) * 15

x = 5.9

Answer: 5.9

Hope this helps!

Answer:

Total ounces should be 12

and hence

x + y = 12

and total money to spend is 50, hence

3.5x + 4.5y = 50

Therefore, these are the two ✌️ equations you should use

x + y = 12

3.5x + 4.5y = 50

Answer: A THE ANSWER IS A so this is the calculation of it means of that I say A

Step-by-step explanation:

Answer:

They bought 6 vanilla wafers and 21 chocolate, they add up to 27.

x = amount of vanilla wafers

y = amount of chocolate wafers.

4x+y = 45

x+y= 27

Step-by-step explanation:

x = amount of vanilla wafers

y = amount of chocolate wafers

Vanilla wafers = 4$ each

Chocolate wafers = 1$ each.

So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.

With both equations we can substitute.

1. Change one equation so one variable is on one side

x+y = 27 to y = 27-x

2. Substitute the variable from the other equation.

4x+y = 45 to 4x+27-x = 45

3. Solve the equation for x.

4x+27-x = 45

3x+27 = 45

3x = 18

x = 6 (amount of vanilla wafers)

4. substitute with equation.

y = 27-x to y = 27-6

5. Solve the equation for y.

y = 27-6

y = 21 (amount of chocolate wafers)

Answer:

x ≥ -42

Step-by-step explanation:

[tex]\frac{x}{7} > =-6[/tex]

[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]

[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]

[tex]x > =-6\cdot 7[/tex]

[tex]x > =-42[/tex]

Shortcut

• Multiply positive 7 by negative 6 to find x as a shortcut.