Describe the translation y= (x-2) squared +5 -> y = (x+2) squared - 3

Explanation:

The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).

When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).

If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.

The coordinates of the vector (0,2) after 270° counterclockwise rotation about the origin is (2,0), as shown below.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of the vector (0,2) after 270° counterclockwise rotation about the origin is (2,0), as shown below.

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Answer:

f(-4) = 58

Step-by-step explanation:

Let x = -4:

[tex]f(-4)=3(-4)^2-(-4)+6\\\\f(-4)=3(16)+4+6\\\\f(-4)=48+4+6\\\\f(-4)=58[/tex]

Answer:

D

Step-by-step explanation:

last number line.

Answer:

see below

Step-by-step explanation:

The stems are in the middle and the leaves are on the left and right

Stems are 0,1,2,3,4,5

Answer:

C

Step-by-step explanation:

That makes the third side 8 inches. Bc 34 -12 -14 = 8.

There's a formula that gives you the area of a triangle with all three sides.

It's kinda long so I won't write it out but it uses the semi-perimeter and it's called heron's formula if you want to search it up.

I just plugged the values into Heron's formula calculator.

The answer is around 47.906158268014, so C.

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.

Given

Perimeter  = 34

Two sides of the triangle = 12, 14

Third side of the triangle  = Perimeter - 12 - 14

= 34 - 12 - 14

= 8 inches

According to the figure, using Pythagoras theorem

[tex]h^{2}=8^{2} -x^{2}[/tex]

[tex]h^{2}=12^{2} - (14-x)^{2}[/tex]

[tex]8^{2} -x^{2} =12^{2} -(14-x)^{2}[/tex]

[tex]64-x^{2} =144-196+28x-x^{2}[/tex]

[tex]28x=116[/tex]

[tex]x=4.14[/tex]

So, [tex]h^{2} =8^{2} -4.14^{2}[/tex]

[tex]h^{2} =64-17.15[/tex]

[tex]h=6.844[/tex]

So, the area of the triangle  = [tex]\frac{1}{2} \times 14 \times 6.844[/tex]

= [tex]47.91 \ in^{2}[/tex]

Area of the triangle is  [tex]47.91 \ in^{2}[/tex].

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a) The slope of the line MU is [tex]\frac{4}{5}[/tex]

b) The distance between the coordinates of the line MU is √41

c) There are differences and similarities between (a) and (b).

The slope of a line is used to describe how steep the line is. This is expressed mathematically as;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where:

(x1, y1) and (x2, y2 are the coordinate points)

From the graph shown, we are given the coordinates M(-1, 1) and U(4, 5)

a) The slope of the line MU will be expressed as;

[tex]m=\frac{5-1}{4-(-1)}\\m=\frac{4}{5}[/tex]

The slope of the line MU is [tex]\frac{4}{5}[/tex]

The formula for calculating the equation of a line is expressed as y = mx + b

b is the y-intercept.

Substitute m = 4/5 and (-1, 1) into the expression y = mx + b

[tex]1 = -(4/5) + b\\1 = -4/5 + b\\b = 1 +4/5\\b = \frac{5+4}{5} \\b = \frac{9}{5}[/tex]

Get the required equation.

Substitute m = 4/5 and b = 9/5 into y = mx + b

[tex]y=\frac{4}{5}x+\frac{9}{5}\\5y=4x+9\\5y-4x=9[/tex]

The required equation of the line is 5y - 4x = 9

b) The formula for calculating the distance between two points is expressed as;

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

Substitute the given coordinates in (a) to get the distance MU

[tex]MU=\sqrt{(4-(-1))^2+(5-1)^2}\\MU=\sqrt{(4+1)^2+(5-1)^2}\\MU=\sqrt{(5)^2+(4)^2}\\MU=\sqrt{25+16}\\MU=\sqrt{41}[/tex]

Hence the distance MU is √41

c) There are similarities and differences in the calculations in (a) and (b). The similarities lie in the usage of the change in the coordinates for the calculation of the slope and the distance.

The difference is that we do not need the slope of the line to calculate the distance MU but the slope y-intercept is required to calculate the equation of the line.

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Answer:

A

Step-by-step explanation:

I just used a graphing calculator.

Just type in all the functions and pick the graph and function pair that match the picture.

I hope this helps!

pls ❤ and mark brainliest pls!

Assuming you want x to approach negative infinity, you have the correct answer. It is choice A.

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

Explanation:

The root x = -2 leads to the factor x+2. That means the answer is between A and B.

As x approaches negative infinity, i.e. as we move to the left, we're going down the red curve and y = f(x) is going to approach negative infinity as well.

In terms of symbols, we'd write [tex]x \to -\infty, \ f(x) \to -\infty[/tex]

Informally, we could say "it falls to the left" as a way to describe this left end behavior.

Answer:

3x^2 is the final solution

See the image below for step by step explanation.

Answer: -21/2

Concept:

Usually, when doing mathematics operation, it goes by the PEMDAS order:

However, since the question asks to solve the order of operation from left to right, then we would be doing [addition] --> [Divison]

Solve:

Given

(-5/2) + 3/4 ÷ 1/6

Operate with addition

=(-10/4) + 3/4 ÷ 1/6

=(-7/4) ÷ 1/6

Operate with division

=(-7/4) × 6/1

=-42 / 4

=-21 / 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

3×4×2 = 24 in^3

Although it depends on the shape

Answer:

45 days

Step-by-step explanation:

Based on the giving information, 30*15/10.

Reduce the fraction by canceling the greatest common factor: 3*15 = 45

9514 1404 393

Answer:

  A

Step-by-step explanation:

We can eliminate parentheses, collect terms, and subtract the right-side expression from both sides to put these equations in general form. Then it is very easy to tell how many solutions there are .

A. -5x -10 = -5x -10

  0 = 0 . . . . . true for all values of x; infinite solutions

B. 5x -4 = 5x -20

  16 = 0 . . . . . not true for any value of x; no solutions

C. 5x +35 = -5x +35

  10x = 0 . . . . . true for x=0; one solution

D. 5x +2 = 5x -2

  4 = 0 . . . . . not true for any value of x; no solutions

Answer:

the Portuguese

The History of The Republic of Ghana

The earliest Europeans to set foot on the land were the Portuguese in the 15th century (1471). On their arrival, they found so much gold between the rivers Ankobra and the Volta that they named the area “da Mina”, meaning “The Mine”.

Step-by-step explanation:

This was all I could really find :( Hope this helps! <3

I think it was Portugal

Answer:

Radicand

Step-by-step explanation:

The term (or number) whose square root is being considered is known as the radicand. The radicand is the number or expression underneath the radical sign, in this case 9.

Answer:

x is 5

Step-by-step explanation:

[tex] \frac{4x - 5}{9x - 5} = \frac{3}{8} \\ \\ 8(4x - 5) = 3(9x - 5) \\ 32x - 40 = 27x - 15 \\ 5x = 25 \\ x = \frac{25}{5} \\ \\ x = 5[/tex]

Step-by-step explanation:

as you can see as i solved above. all you need to do was to rationalize the both equations

Answer:

Option a is the correct answer

Answer:

g

Step-by-step explanation:

f

He made an error on the second line. Kurt didn't distribute the 3 to each term inside the parenthesis of (x-7)

3(x-7) does not turn into 3x-7. Instead, it should be 3x-21 because 3*7 = 21.

This is what his steps should look like

3(x-7) = 2x - 14

3x - 21 = 2x - 14

3x-2x = -14+21

x = 7

9514 1404 393

Answer:

  C. EGD

Step-by-step explanation:

A major arc is typically named using the end points and a point on the arc. Here, the end points are E and D, and points on the major arc include C, G, and F. The major arc ED could be named any of

Of course, the reverse of any of these names could also be used: DCE, DGE, DFE.

Answer:

23

Step-by-step explanation:

6 - (-2) - 3(-5).

PEMDAS says multiply first

6 +2 +15

Add

23

Answer:

Answer is 23

Step-by-step explanation:

First open brackets:

[tex] = 6 + 2 + 15[/tex]

summ up:

[tex] = 23[/tex]

Answer:

Shade 23 boxes

Step-by-step explanation:

This is the first two rows fully (all 10 boxes) and then three more from the third row.

xxxxxxxxxx

xxxxxxxxxx

xxx . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

. . . . . . . . . .

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-7(2w - 5)}[/tex]

[tex]\huge\text{= -7(2w) - 7(-5)}[/tex]

[tex]\huge\text{= -14w + 35}[/tex]

[tex]\huge\text{You do not have any like terms in this equation}[/tex]

[tex]\huge\boxed{\textsf{Answer: -14w + 35}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

x=-3 x=-11

Step-by-step explanation:

−3|x + 7| = −12

|x + 7|=4

x+7=4 x+7=-4

x=-3    x=-11

Answer:

3×(-4)×2

= -24

good day god bless you

Answer:

(−25)(5) = −125; he withdrew $125

-24

Step-by-step explanation:

Because he is withdrawing money, he is deducing money form his account, which makes the $25 negative in the equation. The weeks however, cannot be negative. so the correct answer is (−25)(5) = −125; he withdrew $125.

(3) x (-4) x (2)

(3 x -4) x (2)

(-12) x (2)

(-12 x 2)

-24

hope this helps! if you have any questions, let me know!

Answer:

Sorry my HANDWRITING is not good . :(

Answer:

average of the two observations in the center of the data array

Step-by-step explanation:

When there is an odd number, we use the middle

Example

1,5,9

The median is 5

When there is an even number

1,3,5,7

The middle is between the 3 and 5 so we average the middle number

(3+5)/2 = 4

Answer:

the answer is => observation in the center of the data array

Step-by-step explanation:

[tex]\sf{}[/tex]

9514 1404 393

Answer:

  B B C C A A

Step-by-step explanation:

If we number the equations 1 to 6 left to right, then we have ...