All categories

3 years ago

Translate (x-2, y+D) then rotate 90° counterclockwise (-1, 1)

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

By taking (-1, 1) and translating it left by 2 and up by D we have (-3, 1+D)

Rotating 90° counterclockwise puts a negative on your y-coordinate and switches the x and y-coordinates.

Final answer:

(-1-D, -3)

Your well wisher :-)

You might be interested in

F = uv/u + v make u the subject

never [62]

I'm assuming that you mean

$\dfrac{uv}{u+v}$

because if you meant

$\dfrac{uv}{u}+v$

then u would simplify and you couldn't make it the subject.

Under this assumption, we start with

$F=\dfrac{uv}{u+v}$

We multiply both sides by $u+v$

$F(u+v)=uv$

We expand the left hand side:

$Fu+Fv=uv$

We move all terms involving u to the left and all terms not involving u to the right:

$Fu-uv=-Fv$

We factor u on the left hand side:

$u(F-v)=-Fv$

We divide both sides by $F-v$

$u=\dfrac{-Fv}{F-v}$

3 0

4 years ago

A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed

Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

$\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}$

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

$\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}$

3. Calculate EH

LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

EH + 684 m = 1182 m

EH = 498 m

The distance from E to H is 498 m.

5 0

4 years ago

The data in the table represents the value of a savings account at the end of each year for 6 years. The relationship between th

fgiga [73]

Answer:

1. Constant multiplicative.

2. 1.05.

Step-by-step explanation:

Their savings increase by 1.05x every year.

7 0

3 years ago

F(x)=3x^5-x^3+4x-2 HELPPPPPPPPPPP

Furkat [3]

Answer:

check the attachment

5 0

3 years ago

1. Which of the following is equal to

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

These I's are being used as sticks

lets say i have 40 sticks then i add 55 more sticks to them

IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII + IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII If i were to reverse the sequence and use the 55 sticks and add 44 sticks to them it would be the same as me having 44 sticks and adding 55 more.

5 0

3 years ago