You sit in the bleachers at a concert. The angle of depression from your horizontal sight to the stage is 24 degrees. If your seat is 45 feet above the stage level what is your actual distance d from the stage

Answer:

C. y = | x | – 13

Step-by-step explanation:

y = | x | – 13

Answer:

y = |x| -13

Step-by-step explanation:

recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).

If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)

In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)

hence we add a= -13 to the original function.

y = f(x) + (-13)

y = |x| + (-13)

y = |x| -13

The solution to given system of equations are x = -1, y = 1 and z = 5 which is determined by the substitution method.

The given system of equations below as

4x – 2y + 3z = 9  ....(i)

x - 2y = -3             ....(ii)

2x + 3y = 1            ....(iii)

By equation (ii) and solving for x to get

x - 2y = -3

x = 2y - 3    ....(iv)

Substitute the value of x = 2y - 3 in the equation (iii)

2(2y - 3) + 3y = 1

4y - 6 + 3y = 1

7y = 7

y = 1

Substitute the value of y = 1 in equation (iv) to get,

x = 2(1) - 3

x = -1

Substitute the values of x = -1 and y = 1 in equation (i), and solve for z

4(-1) – 2(1) + 3z = 9

-4 - 2 + 3z = 9

3z = 15

z = 5

Therefore, the solution to given system of equation are x = -1, y = 1 and z = 5.

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Answer:

4x+2(x+5)+1 simplified is 6x+11

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

An = a1 + (n-1)d

An = 156 + (30-1) -3 = 69

Answer:

The answer is B, the second one

Step-by-step explanation:

You have to reduce 700 and 4

4 ÷ 4 = 1

700 ÷ 4 = 175

The 175 goes first so it would be 175 to 1

Hope this helps!

Answer:

175 to 1

Step-by-step explanation:

had the same test too

Answer:

A. 6/3=4/a

B. 6/4=3/a

Step-by-step explanation:

I just did it and got it right

Two or more expressions with an Equal sign is called as Equation.

6/3=4/a is the correct equation of the scaled figures

Two or more expressions with an Equal sign is called as Equation.

Given that,

f ​is a scaled copy of Figure e

The process of increasing or decreasing a figure with a factor is called as scaling.

Given that segment AB=6

CD=3

XY=4

ZW=a

Figure e is decreased to produce figure f, hence:

AB/XY = CD / WZ

Six divided by four equal to three divided by a

6/4=3/a

Six divided by three equal to four by a

6/3=4/a

Hence 6/3=4/a is the correct equation of the scaled figures

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Answer:

right it right

Answers:

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

Explanation:

In triangle P, aka triangle ABC, we have the color coded angles:

For triangle Q, aka triangle XYZ, we have:

The colors must pair up to match together. The order is important. That order being "blue, purple, red".

Because of this, we have the three pairs of congruent angles:

Furthermore, that extends to having these pair of corresponding sides that match up together:

-----------------------

Side AC = 7 involves the blue and red angles. The same applies to XZ = 21.

The jump from 7 to 21 is "times 3", which tells us the scale factor. The triangle XYZ has side lengths 3 times longer compared to triangle ABC.

We'll use this scale factor to determine the missing sides of each triangle.

-----------------------

Side BC = 5 involves the purple and red angles. For the other triangle, side ZY involves those same color angles. Going from BC = 5 to ZY = unknown will involve the "times 3" operation. So we have,

ZY = 3*BC = 3*5 = 15

-------------------------

Side AB = unknown pairs up with side XY = 27 of the other triangle. Each side mentioned involves the blue and purple angles.

Instead of multiplying, we'll do the opposite: we divide 27 by 3 to get the side of AB.

This is because:

XY = 3*AB

AB = XY/3

AB = 27/3

AB = 9

Answer:

8x + 6 = 2 * (5x - 2)

x = 5

OP = 46

Step-by-step explanation:

The Triangle Midsegment Theorem

A midsegment connecting two sides of a triangle is parallel to the third side and is half as long.

So,  PO =  2 * SQ

8x + 6 = 2 * (5x - 2)

8x + 6 = 10x - 4

6 + 4 = 10x - 8x

10 = 2x

x = 5

OP = 8x + 6

= 8 * 5 + 6

= 40 + 6

= 46

Answer:

-8(3x-8)

Step-by-step explanation:

Factor -8 out of -24x+64

Answer:

C ≈ 251.33

Step-by-step explanation:

The circumference of a circle is C = 2πr

Radius = r = 40 is given in the problem

C = 2* 3.14 * 40

C ≈ 251.33

Answer:

251.2

Step-by-step explanation:

Given,

Radius ( r ) = 40

To find : Circumference of a circle = ?

Formula : -

Circumference of a circle = 2πr

Note : -

The value of π is :

Solution : -

Circumference of a circle = 2πr

= 2 x 3.14 x 40

Circumference of a circle = 251.2

Therefore,

Circumference of a circle is 251.2

Answer:

Step-by-step explanation:

-80

Answer:

-14 × -4

Step-by-step explanation:

56 ÷ -4 = -4        

To check your answer to a problem you will start with the answer you got when you divided times the answer to the problem, will give you the number you started with.

  -14 × -4 = 56      

Answer:

g(x) = −5x2 − 3

Step-by-step explanation:

did the homework and this was the right answer.

The vertex form of the function g will be;

⇒ g (x) = - 5x² - 3

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The parent function is,

⇒ f (x) = x²

Now,

After the reflection across the x - axis, we get;

f (x) = - f (x)

Thus, The function is,

g (x) = - x²

And, Vertically stretched by a factor of 5, we get;

g (x) = - 5x²

And, Translated 3 units down, we get;

g (x) = - 5x² - 3

Thus, The vertex form of the function g will be;

⇒ g (x) = - 5x² - 3

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Answer:

[tex]x=\frac{-3+\sqrt{29} }{10}[/tex] and [tex]x=\frac{-3-\sqrt{29} }{10}[/tex]

Step-by-step explanation:

Solution is attached

Answer:

X= 1

Step-by-step explanation:

5x^2 +5x-4=2x-3.        25x+5x=30x

25x+5x-4=2x-3.          

30x-4=2x-3.          30x-2= 28x

28x-4=-3

add +4 to both sides

28x/28 = 1/28

x=1

Answer: what type of math is that?

Step-by-step explanation:

#a

Area:-

[tex]\\ \sf\longmapsto \dfrac{a+b}{2}h[/tex]

[tex]\\ \sf\longmapsto \dfrac{10+6}{2}(4)[/tex]

[tex]\\ \sf\longmapsto 16(2)=32in^2[/tex]

#2

USING PYTHAGOREAN THEOREM

[tex]\\ \sf\longmapsto B^2=8.5^2-7.5^2[/tex]

[tex]\\ \sf\longmapsto B^2=72.25-56.25[/tex]

[tex]\\ \sf\longmapsto B^2=16[/tex]

[tex]\\ \sf\longmapsto B=4[/tex]

Area

[tex]\\ \sf\longmapsto LB[/tex]

[tex]\\ \sf\longmapsto 7.5(4)[/tex]

[tex]\\ \sf\longmapsto 30in^2[/tex]

Step-by-step explanation:

a = 33

b = 5

= a - 20/b

= 33 - 20/5

= 33 - 4

= 29

Answer:

100π

Step-by-step explanation:

V = (4/3)πr^3

(500/3)π = (4/3)πr^3

r^3 = 125

r = 5

Surface area of sphere = 4πr^2

= 4π(5^2) = 100π

Answer:

Step-by-step explanation:

a, what is the equation of the line that goes through these points in Slope-intercept Form?  

If two lines are parallel, their slopes are equal.  Thus the new line has the same slope as does the old one:  m = -3.  We adapt the slope-intercept form y = mx + b to 5 = (-3)(2) + b and find that b = -11.  Then the desired equation is y = -3x - 11.  This is in slope-intercept form.

b. What is the x-intercept?  Start with the above y = -3x - 11.  Set y = 0 and solve the result, 0 = -3x - 11, for x:  x = -11/3.  Then the x-intercept is (-11/3, 0); this is the point at which the graph crosses the x-axis.

c. What is the y-intercept:  Set x = 0 in the above equation.  We get y = -11.

The y-intercept is thus (0, -11).

Answer:

The answer is 6.

Step-by-step explanation:

If there are 270 students going on the trip and there would be a teacher for every 45 students you would have to divide.

You would divide 270 ÷ 45 = 6.

The required number of teachers for the trip is 12.

Given that,
A school was taking a field trip. The principal wanted 2 teachers for every 45 students. If 270 students will be attending the trip how many teachers must chaperone is to be determined.

Proportionality is defined as between two or more groups of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Let the number of teachers is x and the number of students is y, which are directly proportional to each other
y ∝ x
y = km
where k is the constant proportionality.

at y = 45 x = 2
45 = K * 2
K = 45 / 2
Now,
y = 45/2 x
Now for y =270
270 = 45 / 2 x
x = 270 * 2 / 45
x = 12

Thus, the required number of teachers for the trip is 12.

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The equation isn't written out so I can't be sure but here are possible answers.

2.2 divided by 6 is 0.36. 0.36 minus 2 is -1.64.

6 minus 2 is 4. 2.2 divided by 4 is 0.55.

9514 1404 393

Answer:

  (x, y) = (4, 1)

Step-by-step explanation:

Step 1. Look for an equation that has a coefficient of 1 or -1 for one of the variables. Here, that is the first equation, which has a y-coefficient of -1.

Step 2. If you found such an equation, solve for the variable.

  y = 2x -7

Step 3. Use that expression for the variable to substitute into the other equation.

  3x -2(2x -7) = 10

Step 4. Solve the resulting equation in the usual way.

  3x -4x +14 = 10 . . . . . eliminate parentheses

  -x +14 = 10 . . . . . . . collect terms

  4 = x  . . . . . . . . . separate variable terms and constant terms. Here, we added x-10 to both sides.

If the variable has a coefficient that is not 1, divide both sides by that coefficient.

Now, you can use this value in the expression for y that we found above.

  y = 2(4) -7 = 1

The solution is (x, y) = (4, 1).

Answer:

4 cups of water per one cup of lemonade mix

Step-by-step explanation:

80 - 16 = 64

64/16=4

4 cups per cup

4 cups of water per one cup of lemonade mix.

Division is the process of splitting a number or an amount into equal parts.

Here, we have,

80 - 16 = 64

64/16=4

Hence, 4 cups per cup of lemonade mix.

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Answer:the answer is 2 Step-by-step explanation: i took the test

The value of the given expression is 87.46.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

E = 84-( -√12)

Two negative signs cancel out into a positive sign

E =84 + √12

84 plus the square root of 12. The square root of 12 is 3.5 or 3.46.

E = 84 + 3.46

E = 87.46

Therefore, the value of the given expression is 87.46.

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Answer:

y+2=-2(x+1)

Step-by-step explanation:

hope this helps