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umka2103 [35]
2 years ago
13

Triangle LMN with vertices L(-9,-1) M(-3,-4) and N(-5,-8)

Mathematics
1 answer:
jek_recluse [69]2 years ago
6 0
Part A: L(-1,9) M(-4,3) N (-8,5)

Step by step explanation:

A 270° counter clockwise rotation is the same thing as 90° clockwise- since all 3 of the points are in quadrant 3 (both points negative) it’ll end up in quadrant 2 (x negative, y positive). When you rotate a point 90° you basically just switch the x and y values and change the negative sign to match the quadrant it’s in so for each point (for example (-9,-1)) it would be (-1,9).

Part B: L(6,7) M(3,1) N(-1,3)

Step by step explanation:
To translate something just add or subtract from the x and y values making sure to apply the same change to all of the points if they are in the same shape (or instructed otherwise).
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(a) 3 - 2/3÷4/3 × 7<br>(b) [(2/3)/(5/6)]-2/5<br>(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}<br>​
BartSMP [9]

Step-by-step explanation:

a. (3 - 2/3) ÷ (4/3 x 7)

= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3

= (9/3 - 2/3) ÷ 28/3

= 7/3 x 3/28

= 21/84

= (21 x 1) / (21 x 4)

= 1/4

b. 2/3 ÷ 5/6 - 2/5

= 2/3 x 6/5 - 2/5

= 12/15 - 2/5

= (3 x 4) / (3 x 5) - 2/5

= 4/5 - 2/5

= 2/5

c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)

= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]

= (- 3/4 + 12/4) ÷ (4/10 - 25/10)

= 9/4 ÷ (- 21/10)

= 9/4 x - 10/21

= - 90/84

= (6 x - 15) / (6 x 14)

= - 15/14.

If you have any doubt, then you can ask me in the comments.

6 0
3 years ago
Read 2 more answers
Y is directly proportional to x, and y =216 when x=2 find y when x=7
jek_recluse [69]
Y = kx
@ y = 216, x = 2
k = y/x = 216/2 = 108

@ x=7
y = (108)(7) = 756
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Ready Practice: GCF and LCM - Quiz - Level F Caylan is making baked goods for a charity bake sale. He places a tray of scones, a
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Answer:

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Step-by-step explanation:

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Can anyone please help i am stuck on this question?
ale4655 [162]

Answer:

8/17

General Formulas and Concepts:

<u>Trigonometry</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the ratio.

<u>Step 2: Identify</u>

<em>POV from angle S</em>

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<u>Step 3: Write</u>

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