The first puzzle includes a treasure map. The treasure map is an xy coordinate grid with the origin markingthe center of the room as shown below. Two lines intersect to show the location of the next clue. The linesmust be added to the treasure map.The first line is represented by the equation y = 3x - 16.The graph of the second line passes through the points (1,7) and (4,1).North6s411WestEast112South4. What is the equation of the second line? Show how you found the equation.(Replace this text with your equation)(Replace this text with your work).

Answer

Option C is correct.

a₁, a₂ and a₃ = 2, 6 and 22 respectively.

Explanation

We have been told that

a₀ = 1

And any term after that is given as

So,

a₁ = 4a₀ - 2

a₁ = 4 (1) - 2

a₁ = 4 - 2

a₁ = 2

a₂ = 4a₁ - 2

a₂ = 4 (2) - 2

a₂ = 8 - 2

a₂ = 6

a₃ = 4a₂ - 2

a₃ = 4 (6) - 2

a₃ = 24 - 2

a₃ = 22

Hope this Helps!!!

Answer:

The GCF of 24 & 30 would be 6. The LCM of 24 & 30 would be 120.

Step-by-step explanation:

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Answer:

y = -2x - 4

Step-by-step explanation:

Slope intercept form : y = mx + b

Where

The y intercept is the point where the line crosses the y axis.

Here, just by looking at the graph we can say that the y intercept is at (0,-4) because that is where the line passes the y intercept.

This means that b = - 4

We can find the slope using the following formula

Slope = (y2-y1)/(x2-x1)

Where, (x1,y1) and (x2,y2) are any given points on the line

The points used can vary however I have chosen (0,-4) and (-2,0)

Defining our variables we get (x1,y1) = (0,-4) and (x2,y2) = (-2,0)

So we have x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

We now plug this in to the formula

Slope = (y2-y1)/(x2-x1)

==> plug in x1 = 0 , x2 = -2 , y1 = -4 and y2 = 0

Slope = (0-(-4))/(-2-0)

==> remove parenthesis

Slope = (0+4)/(-2-0)

==> simplify addition and subtraction

Slope = 4/-2

==> simplify fraction

Slope = -2

So the slope or "m" is -2

Again we have y = mx + b

m = slope so m = -2 and b = y intercept so b = -4

Plugging this in, we acquire y = -2x - 4

The linear functions for each graph are given as follows:

6. y = -1/3x + 3.

7. y = 1/3x + 1.

8. y = x + 3.

10. y = -2x.

The definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients of the function are given as follows:

For item 6, we have that:

Then the equation is:

y = -1/3x + 3.

For item 7, we have that:

Then the equation is:

y = 1/3x + 1.

For item 8, we have that:

Then the equation is:

y = x + 3.

For item 10, we have that:

Then the equation is:

y = -2x.

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Supplementary angles add up to 180°

If two lines are cut by a transversal so that consecutive interior angles are ( supplementary,, then the lines are parallel​

The line is:

Which is equivalent to:

Thus, the slope of the line is equal to -3/4

a) Every line parallel to that one has the same slope, then the answer is -3/4

b) On the other hand, if m_1 and m_2 are the slopes of two perpendicular lines, then:

Therefore, since the slope of our line is equal to -3/4, the slope of any line perpendicular to that one is:

Hence, the answer is 4/3

Answer:

y = 3x - 6 is the correct equation. The slope is 3, and the y-intercept is at -6.

94We need to solve the next operation.

We need to take into consideration the rules of operations:

1. Parentheses

2. Exponents

3. Multiplication

4. Divison

5. Addition

6. Subtraction

Then, solve the given expression:

8373+01274+93738939*937*058+938484

Solve the multiplication 93738939*937*058

Now, make the next sum 8373+01274+ +938484:

Finally, make the next sum operation:

Hence, the result of the operation is 5094337327025.

If she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

In the given question,

Annie purchased a season pass for the new aquarium at a cost of $110.

If she uses the pass 10 times this year then we have to find the unit rate in cost per visit.

We have to find the unit rate.

Unit rate means finding the value of one object, that means we have to find the cost of one visit.

The cost of season pass is $110.

She visit aquarium 10 times.

We find the unit rate cost per visit by dividing the total cost of season pass  for the new aquarium by total times she visits in the new aquarium.

10 times = $110 cost

Divide by 10 on both side

10/10 times = $110/10 cost

1 times = $11 cost

Hence, if she uses the pass 10 times this year then the unit rate in cost per visit is $11 unit per visit.

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The height of the frame will remain the same.

The height of the frame is 6 inch

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

A frame:

The frame can be considered as a rectangle.

Wide = 9 inch

Height = 6 inch

_______

|               |

|               | 6-inch (height)

|               |

|_______|

  9-inch (wide)

If wide = 3 inches the height remains the same.

Thus,

The height of the frame will remain the same.

The height of the frame is 6 inch

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Answer:

57cubic sm

Step-by-step explanation:

4 x 3= 12

5 x 9= 45

12 + 45 = 57

Answer:

112

Step-by-step explanation:

According to pemdas we do what’s in parentheses first and then multiply

5.6(7+13)

5.6(20)

112

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A number can be expressed in percent form or in decimal form.

For example, 0.3

a) Domain; all real numbers except 4

b) Range; all real numbers except y = 0

c) Y-intercept = -0.75

d) x-intercept does not exist

Here, we want to find the domain, range and intercepts

The domain refers to the possible x-values

From the question, the function will hold for all values of x, except x = 4, where we will have an undefined expression

Thus, the domain is all real numbers, except x= 4

For the range, we are referring to the possible y-values

From the given equation the possible y values are all real numbers except y = 0

To find the intercepts, let us write g(x) as y

The equation is thus;

To get x-intercept, substitute y = 0

By doing this, we have no x-intercept

To get the y-intercept, we simply substitute x = 0

That means;

The correct option is D that is 4x³-12x²-2x when 12x⁵-36x⁴-6x³ will be divided by 3x² as the definition of polynomial says, "A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division".

A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division. Polynomials are sums of kxn terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. Polynomials are introduced. This video defines terms such as degree, standard form, monomial, binomial, and trinomial. According to this definition, the number ten is not a polynomial. However, people frequently use the symbol 10 to represent the polynomial (10,0,0,...). This is an example of a symbol being "overloaded," which occurs occasionally in mathematics. Here,

(12x⁵-36x⁴-6x³)/3x²

take 3x² from numerator,

3x²(4x³-12x²-2x)/3x²

=4x³-12x²-2x

When 12x⁵-36x⁴-6x³   is divided by 3x², the correct option is D, which is 4x³-12x²-2x . According to the definition of polynomial, "a polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division."

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Answer: 4x³-12x²-2x

Step-by-step explanation:

Answer:

f = 5k−2/−k+2

First, we solve for y in the expression:

So, the y-intercept is (0, -4).

The error is that you are given the wrong y-intercept and the wrong x-intercept; they are swapped in the place of writting.

The amount of 1 litre is equivalent yo 1000 milliliter.

Determine the amount yogurt left by subtraction of 425 from 1000.

So 575 milliliter of yogurt is left.

The answer, the measure of the smallest angle is 39° in the triangle.

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

Let x be the smalletst angle

2nd angle will be x+24

and 3rd angle will be 2x

So sum of all angles x+2x+x+24=180

4x=180-24

x=156/4

x=39

Hence the measure of the smallest angle will be 39°

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Let's find the equivalent equation to:

4x + 2y = 12

2y = 12 - 4x

Dividng by 2 at both sides:

2y/2 = 12/2 - 4x/2

y = 6 - 2x

We can see that choices B and C are not correct because the signs.

If we multiply by 2 at both sides, we have:

2y = 12 - 4x

We can see that if we change the order at the right side of the equation, we have:

2y = -4x + 12

I think now you are ready to select the correct choice, Deppreso.

SOLUTION

We are told that the length of the rectangle is 17 inches less than 7 times its width.

Now, let the letter L represent the length and the letter w represent the width of the rectangle.

This statement can be represented algebraically as

So, Area =

We are also told the Area A of the rectangle = 2204. Now

We have to find the width, then we find the length L

Since the width cannot be negative, w = 19 inches

The length becomes

1. A rectangular prism is a figure that has the following shape:

A real-world example of a figure that has this shape is a rectangular box.

2. A triangular prism is a figure that has the following shape:

Answer:

4

Step-by-step explanation:

8 miles over 2 practices so double that

Answer:

Step-by-step explanation:

1. Subtract 200 from 180

200 - 180 = 20

2. Divide the difference of the number of bookmarks by last years

20 / 200 = 0.1

3. Multiply 0.1 by 100 to get the percentage

0.1 x 100 = 10 %

4. Since this is a reduction in number of bookmarks sold, then it would be a -10% change in the number of bookmarks sold.

Answer: the anwser is B

Step-by-step explanation:

Answer:

Grace, jonah,D'angelo,then Katie.

First,Grace because she finished it 100%

Next,it's Jonah because he finished it 2/3 the way meaning about around 70% of the work.

Then, D'angelo because he completed five more than Katie.

Last,Katie because she was less than jonah.She had 40 but D'angelo had five more than her

Using a trigonometric relation we will see that the correct option is B, 24°.

On the image we can see a right triangle, where the length of the hypotenuse and of one leg (the opposite cathetus to angle X) are known.

We can use the trigonometric relation:

sin(a) = (opposite cathetus)/(hypotenuse)

Then we can write:

sin(X) = 9/22

If we apply the inverse sine function in both sides, we will get:

X = Asin(9/22) = 24.15°

Then the correct option is B.

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Dividing the given ratio by 2, we get

8:6 = 8/2 : 6/2 = 4:3

Multiplying the given ratio by 2, we get

8:6 = 8*2 : 6*2 = 16:12

Then, the correct choices are A and C