Drag each label to the correct location in the table.Match each attribute of the parabolic graph to its corresponding equation.Focus:Vertex: (-4,-3)Directrix: 1Vertex: (4,3)x=-2(y + 3)2 - 4x = 2(y - 3)2 + 4

The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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Answer: I can’t see could you make it closer

Step-by-step explanation:

Answer:

Answer: $22.5

Step-by-step explanation:

Explanation: 12*12 (because you are multiplying the 12 oz by the 12 apples)=144 oz.

1 Pound= 16 oz. 144 oz=9 Pounds.

Now you multiply the $2.50 by 9 (2.50*9).

That will give you $22.5 which is the final answer.

Answer:

\(y = \sqrt{x} \)

D

Step-by-step explanation:

Literally substitute one of the points (4,2), using some common sense, the x is larger than the y, so it can't be A or B (makes 4 larger) and really just pur 4 in option C, it won't be a pretty nice number. So the only option is D.

Answer:

$9.12

Step-by-step explanation:

Decimal places are:

0.0 --> Tenths

0.00 --> Hundredths

0.000 --> Thousandths

etc.

Therefore we need to round the decimal to 2 decimal places...

9.123 --> 9.12 (The number rounds down if the number after it is between 1 and 4 and it rounds up if the number after it is between 5 and 9. In this scenario the number after it is "3" therefore it rounds down)

The equation solved for w is w = 6g - 40

The complete question is in the attached image

The equation is given as:

g = 1/6(w + 40)

Multiply both sides by 6

6g = w + 40

Subtract 40 from both sides

w = 6g - 40

Hence, the equation solved for w is w = 6g - 40

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If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer:

b) 28

c) 52

Step-by-step explanation:

f(2) = -2³ + 7(2)² - 2(2) + 12

= -8 + 28 - 4 + 12

= 28

f(-2) = -(-2)³ + 7(-2)² - 2(-2) + 12

= 8 + 28 + 4 + 12

= 52

Answer:

x = 12

Step-by-step explanation:

Let the number be x

Condition:

=> \(\frac{1}{2} x+5 = 11\)

=> \(\frac{x}{2} = 11-5\)

=> \(\frac{x}{2} = 6\)

Multiplying both sides by 2

=> x = 6* 2

=> x = 12

Corrected Question

Given a triangle with two sides 4.1 cm and 6.7cm and an Included angle of \(35^\circ\). Use the Law of Cosines to determine the length of the third side of the triangle.

Answer:

(D) 4.1cm

Step-by-step explanation:

Given a triangle with two sides 4.1 cm and 6.7 cm and an included angle of \(35^\circ\).

Using Law of Cosines

\(a^2=b^2+c^2-2bc\cos A\\a^2=4.1^2+6.7^2-2*4.1*6.7\cos 35^\circ\\a^2=16.6958\\a=\sqrt{16.6958}\\a=4.09\\a \approx 4.1$ cm\)

The correct option is D.

Answer: It’s A

Step-by-step explanation: C= -14/3 which is simplified to -4 2/3

Answer:

A.

Step-by-step explanation:

So you foil 2c and -5

Which will give you 5c+4=2c-10

Subtract 2c 5c-2c+4=2c-2c-10

Then You will get3c+4=−10

Step 3: Subtract 4 from both sides.

3c+4−4=−10−4

3c=−14

Step 4: Divide both sides by 3.

3c/3=-14/3

So it will be -14/3 which is -42/3

Which is A.

The area of triangle ABC is 23.5 square units and the perimeter is 20.4174 units.

To find the area and perimeter of the given triangle ABC, we need to apply the following formulas:Formula for Distance between two points:

The distance between two points (x1, y1) and (x2, y2) is given by:

AB = √(x2-x1)²+(y2-y1)²BC = √(x3-x2)²+(y3-y2)²AC = √(x3-x1)²+(y3-y1)²

Formula for Area of Triangle: If we know the length of the three sides of a triangle then,

using Heron's formula, we can calculate the area of the triangle as:

area = √s(s-a)(s-b)(s-c)where a, b, and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle, which is given as s = (a+b+c)/2

Formula for Perimeter of Triangle: The perimeter of the triangle is the sum of the lengths of its sides.

That is: perimeter = AB + BC + ACArea of ΔABCAB

= √(1 - (-2))² + (5 - (-4))²AB

= √3²+9² = √90BC

= √(2 - 1)² + (2 - 5)²BC

= √1²+3² = √10AC

= √(2 - (-2))² + (2 - (-4))²AC

= √4²+6²

= √52Semi-Perimeter (s)

= (AB + BC + AC)/2

= (√90 + √10 + √52)/2

= 12.8572Area of ΔABC

= √s(s-a)(s-b)(s-c)

= √12.8572(12.8572-√90)(12.8572-√10)(12.8572-√52)

= 23.5

Perimeter of ΔABC = AB + BC + AC = √90 + √10 + √52 = 20.4174

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The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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Answer:

A, B, D

Step-by-step explanation:

A polynomial is a 1 term or a sum of terms.

Each term is a number multiplied by 0 or more variables.

A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.

Answer: A, B, D

For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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The solution of the system of equations are;

⇒ x = - 6 , y = 44 and z = 2

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The system of the equations are,

3x + y - 2z = 22    .... (i)

x + 5y + z = 4       .... (ii)

x = - 3z                .... (iii)

Now,

Solve the equations as;

Substitute x = - 3z in both equations, we get;

⇒ 3x + y - 2z = 22

⇒ 3 × -3z + y - 2z = 22

⇒ - 9z + y - 2z = 22

⇒ - 11z + y = 22   .... (iii)

And, x + 5y + z = 4

- 3z + 5y + z = 4

5y - 2z = 4     ... (iv)

Solve equation (iii) and (iv) we get;

⇒ y = 44 and z = 2

So, x = - 3z    

⇒ x = - 3 × 2

⇒ x = - 6

Thus, The solution of the system of equations are;

⇒ x = - 6 , y = 44 and z = 2

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Answer:

381

Step-by-step explanation:

232 + 88 = 320

320 + 61 = 381

Hope this helped and brainliest please

The length of the arc RT is 11.72 units.

An arc is defined as a portion of the boundary of a circle or a curve.

To calculate the length of the arc RT, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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Answer:

Step-by-step explanation:

where is the picture?

Answer:

you need a picture lol

Step-by-step explanation:

Answer:

100, 162, 262

Step-by-step explanation:

to find each number you add the previous number

4+10=14

10+14=24

14+24=38

24+38=62

38+62=100

62+100=162

100+162=262

The effective tax rate of $3634 from a total of $30,500 before tax is  11.9%.

Effective tax rate is this is a taxpayer's average tax rate, or what share of their total annual income they'll need to pay in taxes while marginal tax rate is the amount of tax that applies to each additional level of income.

effective tax rate = (amount paid as tax / income before tax) 100%

The effective tax rate of $3634 from a total of $30,500 before tax is calculated as follows;

amount paid as tax = $3634

income before tax =  $30,500

effective tax rate = 3643/30,500 x 100%

effective tax rate = 11.9%

Thus, the effective tax rate of $3634 from a total of $30,500 before tax is  11.9%.

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The complete question is below:

the effective tax rate of $3634 from a total of $30,500 before tax is?

Answer:

6

Step-by-step explanation:

3

===

1

----

2

Multiply numerator and denominator by 2

3          *2

===

1          *  2

----

2

The 2s in the denominator cancel

6/1 = 6 is the answer.

Determine the lateral surface area of solid.

So lateral surface area of solid is 320 centimeter square