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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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The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that
wolverine [178]

Answer:

Let l be the length and w the width of the rectangle.

P as the perimeter and A as the area.

length of a rectangle is four times the width:

w = w

l = 4w

System of equation : 2l + 2w = P

Substitute:

2(4w) + 2w = 45

8w + 2w

10w = 45

w = 45 / 10

w = 4.5

Solve for l:

l = 4w

l = 4(4.5)

l = 18

Area:

A = lw

A = 18(4.5)

A = 81 in²

8 0
4 years ago
Read 2 more answers
(6(1) = -5<br> 1) Find (4) in the sequence given by<br> (6(n) = b(n − 1) +9
Sloan [31]

Answer:

f(4) = 22

Step-by-step explanation:

I think that you type wrongly.

we have f(1) = -5

and f(n) = f(n-1) + 9

Find f(4)

Then

with n= 2 we have f(2) = f(1) + 9 = - 5+ 9= 4

with n= 3 we have f(3) = f(2) + 9 = 4 + 9= 13

and finally with n= 4 we find f(4) = f(3) + 9 = 13+ 9= 22

So f(4) = 22

Hope you understand.

8 0
3 years ago
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Nigel cut a loaf of bread into 12 equal slices. His family ate some of the bread now 5/12 of the loaf is left. Nigel wants to pu
lutik1710 [3]
Nigel needs 5 bags in order to put each five slices in their own bag.
8 0
3 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
dusya [7]

Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

8 0
2 years ago
Can someone explain this?
natulia [17]

Answer:

58 degrees

Step-by-step explanation:

(x+45)+(x+66)=95

2x+45+66=95

2x+111=95

2x=95-111

2x=-16

x=-16/2

x=-8

x+66=-8+66=58

8 0
3 years ago
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