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harina [27]
3 years ago
13

Given A(5, –2), what are the coordinates of (T⟨−3, 4⟩∘ Rx-axis)(A)?

Mathematics
1 answer:
Bad White [126]3 years ago
7 0

Answer:

not sure

Step-by-step explanation:

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If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?
Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

(C_x,C_y) ----> coordinates of point C

we have that

The horizontal distance AB is equal to

AB_x=10-2=8\ units

The vertical distance AB is equal to

AB_y=10-4=6\ units

Find the horizontal coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_x}{CB_x}=\frac{3}{1}

AC_x=3CB_x----> equation A

AC_x+CB_x=8 ----> equation B

substitute equation A in equation B

3CB_x+CB_x=8

4CB_x=8\\CB_x=2

AC_x=3(2)=6

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

C_x=A_x+AC_x=2+6=8

Find the vertical coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_y}{CB_y}=\frac{3}{1}

AC_y=3CB_y----> equation A

AC_y+CB_y=6 ----> equation B

substitute equation A in equation B

3CB_y+CB_y=6

4CB_y=6\\CB_y=1.5

AC_y=3(1.5)=4.5

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

C_y=A_y+AC_y=4+4.5=8.5

therefore

The coordinates of point C are (8,8.5)

5 0
3 years ago
The value of 3.6 - 2.4 ÷ (-0.8) is _____.<br> 6.6<br> 0.6<br> -1.5<br> 3
bija089 [108]
I hope this helps you

8 0
3 years ago
Read 2 more answers
A tire travels about 75 inches in one full rotation. What is the Demeter of the tire, to the nearest inch?
Gnoma [55]

Answer:

<h2><u>24 inches</u></h2><h2><u></u></h2>

Step-by-step explanation:

c = πd

75 = 3.14d

Divide both sides by 3.14

23.89 = d

Rounded

24 inches

5 0
3 years ago
If the point on the graph is below the origin, x coordinates must be negative.
mariarad [96]

Answer:

true

Step-by-step explanation:

if the point if below or to the left of the origin, it is negative. if it is above or to the right of the origin, it is positive

8 0
3 years ago
A) how many ways are there to choose 10 players to take the field?
Kruka [31]

A. C(13, 10) = 13! = 13·12·11 = 13 · 2 · 11 = 286.C(13, 10) = 13! = 13·12·11 = 13 · 2 · 11 = 286.

B. P(13,10)= 13! =13! =13·12·11·10·9·8·7·6·5·4. (13−10)! 3!

C. f there is exactly one woman chosen, this is possible in C(10, 9)C(3, 1) =

10! 3!

9!1! 1!2! 10! 3!

8!2! 2!1! 10! 3!

7!3! 3!0!

= 10 · 3 = 30 ways; two women chosen — in C(10,8)C(3,2) =

= 45·3 = 135 ways; three women chosen — in C(10, 7)C(3, 3) =

= 10·9·8 ·1 = 120 ways. Altogether there are 30+135+120 = 285 1·2·3

<span>possible choices.</span><span> 
</span>

  


5 0
3 years ago
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