A. Reflection around the x-axis:
1. A (5, 1)→ A'
2. B (1, 3) B¹.
3. C (-2, 2)→ C'.
4. D (-5, 4) D'
B. Reflection around the y-axis:
1. A (5, 1)→ A'
2. B (1, 3) B¹.
3. C (-2, 2)→ C'_
4. D (-5, 4) D'

The angle in degrees is 873.1843.

Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).

According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.

Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.

Multiplying both sides of the equation by 180/π, we get:

θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843

Thus, the angle in degrees is 873.1843.

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1.

a) Supplementary.

b) Supplementary.

c) Equal.

d) Equal.

e) Supplementary.

f) Supplementary.

2. a) 360°

b) opposite , 180° for a pair and 360° for 2 pairs.

c) straight line, 180°

3) angle 1 and angle 4 are pair of vertical angles summing upto 180°

4x + 5 + 3x + 11 = 180°

7x + 16 = 180°

x = 23.43°.

4) angle 3 and angle 4 are supplementary angles summing upto 180°

6x + 10 + 2x + 50 = 180°

8x + 60 = 180°

x = 15°

angle 3, 6x + 10

6(15) + 10 = 100°

m<3 = 100°

m<2 = m<3 - equal angles.

then, m<2 = 100°

Answer:

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Step-by-step explanation:

the slope is found by finding the change in y over the change in x. in this instance, you can do 9--5/-3--3... which is the same as 9+5/-3+3. the result is 14/0. Any fraction that has a denominator of zero is undefined, so the line would be straight up and down.

If this helped, don't forget to mark it the brainliest:) have a nice day

The range of the function on the graph is y > -6

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is an exponential function

The rule of an exponential function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is always greater than the constant term

In this case, it is -6 i.e. the point where it intersects with the y-axis

So, the range is y > -6

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Answer:

Step-by-step explanation:

f(x) = -x^2+6x-2

-x^2+6x-2  here we use work sheets or log books

PERIMETER

Answer:

Answer is 28 m

Step-by-step explanation:

Breadth= 2m

Length= 2X6m

= 12m

Perimeter of a rectangle = 2X (Length+ Breadth)

= 2X (2+12)

= 2X14

= 28m

AREA

Answer:

Answer is 24 m

Explanation:

Length= 12

Breadth= 2

Area of a rectangle= Length X Breadth

= 12X2

= 24 sq. m

Hope it helps ;)

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Answer:

4.5

Step-by-step explanation:

Answer: i think it will be 4 year

Step-by-step explanation:

4/23

6-9+79

The equation of the line in point-slope form is y + 1 = 2(x + 8).

What is equation of line?

An equation with terms that have variables x and y independently and a degree of one is referred to be a line equation in a two-dimensional coordinate system. A linear equation is any equation with degree 1. The relationship between the x and y coordinates of any point on a straight line is known as the equation of a straight line.

The point-slope form of the equation of a line with slope m and passing through the point (x1, y1) is given by:

y - y1 = m(x - x1)

Using the given information, we have:

m = 2

x1 = -8

y1 = -1

Substituting these values into the point-slope form, we get:

y - (-1) = 2(x - (-8))

Simplifying, we get:

y + 1 = 2(x + 8)

This is the equation of the line in point-slope form.

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Answer:

x=64

Step-by-step explanation:

I solved the equation for you

Your welcome and i hope it helps! :)

Answer:

here you go

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Step-by-step explanation:

Given

-6x + 9 = 33

or -6x = 33- 9

or, - 6x = 24

or - x = 24 / 6

or, - x = 4

Therefore x = - 4.

Hope it will help you :)

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

Explanation:

The x+3 means "move right 3". We add 3 to whatever the x coordinate is.

For example, the point (1,7) becomes (4,7) after adding 3 to the x coordinate. That visually shifts the point 3 units to the right.

Similarly, subtracting 5 from the y coordinate will shift the point 5 units down. That's what the y-5 is referring to. Example: (10, 12) moves to (10, 7).

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

Extra info:

We can write the translation rule as \((x,y) \to (x+3, y-5)\)

With this notation, we can then say something like this for example

\((x,y) \to (x+3, y-5)\\\\(6,8) \to (6+3, 8-5)\\\\(6,8) \to (9, 3)\\\\\)

Showing that the point (6,8) moves to (9,3) after applying the rule "move right 3, down 5".  

Answer:

632

Step-by-step explanation:

Answer:

528

Step-by-step explanation:

Surface area of bottom block + Surface area of top block - 2(Shared surface area)

Bottom block: 2(10*12) + 2(5*12) + 2(5*10) = 240 + 120 + 100 = 460 square inches

Top block: 2(2*2) + 4(2*8) = 8 + 64 = 72 square inches

Shared surface area = 2*2 = 4 square inches

Plugging into our formula:

460 + 72 - 4 = 528 square inches

Answer:

36 yards x 144 yards

Step-by-step explanation:

Let the width of the rectangle field be x and the length be 4x.

The perimeter is 2(4x + x). So:

2(4x + x) = 360

10x = 360

x = 36

Then the width is 36 yards and the length is 144 yards.

y= 1/5 x6^2 + 6/5 x + 11/10

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

Step-by-step explanation:

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Answer:

f(8) = 0

Step-by-step explanation:

The definition of an x intercept is a point where the function is equal to zero.

Answer: Center (3,-5); radius 3

Step-by-step explanation:

The center and radius of the circle defined by the equation is (3, -5) and 3.

The standard equation of a circle is given by:

(x-h)² + (y-k)² = r²

Where (h,k) is the coordinates of center of the circle and r is the radius.

We have Equation,

x² + y² -6x + 10y +25= 0

Now, rearranging the terms

x² -6x + y² +10y +25 = 0

Now, add and subtract 9

x² -6x + 9 + y² +10y +25  -9 = 0

(x-3)² + (y+5)² = 3²

(x- 3)² + y(-(-5))² = 3²

So, the Centre of Circle is (3, -5) and the radius is 3.

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Answer:

10

Step-by-step explanation:

Whenever we see "of" we know its multiplication

125% x a normal day

125% x 8

\(\frac{125}{100}\) x 8

10

:)

The function y = -10*x¹⁰ - 10

Is not a linear function, as we can see the exponent is 10.

Remember that a linear function is of the form:

y = m*x + b

Where x is the variable.

So a linear function is a polynomial of degree 1.

Particularly, here we have the function:

y = -10*x¹⁰ - 10

So we have an exponent of 10, which means that this is not a linear function.

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Answer:

Angle 3

Angle 4

Angle DVE

Angle FVE

Angle DVF

The angles that have V as a vertex are:

\(\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF\)

Recall:

Thus, from the given image,

Each of the following angles has V as the vertex of its angle:

Therefore, the list of all angles having V as a vertex are:

\(\angle 3 \\\\\angle 4\\\\\angle DVF\\\\\angle DVE\\\\\angle EVF\)  

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Answer:

287

Step-by-step explanation:

each time the number increases by 9

8 + 9 = 17

17 + 9 = 26

26 + 9 = 35

therefore if you continue this pattern you will eventually get 287

Answer:

angle a + angle b = 180,linear pair

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Answer:

-5/2

Step-by-step explanation: 2 - 7 = -5 so that is your numerator and -2+ 4=2 is your denomonitaor.

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

no lol ;0 you should ask your teacher for help ;(