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3 years ago

Find the possible values for s in the inequality 12s – 20 ≤ 50 – 3s – 25. A. s ≤ 9 B. s ≤ 3 C. s ≤ 1/3 D. s ≤ 5/9

Mathematics

1 answer:

Kitty [74]3 years ago

7 0

The answer wil be B.

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Step-by-step explanation:

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3 years ago

On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

$R =(5,5)$

$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0

2 years ago

12 divided by 8 in fractions equals what

Ilya [14]

12/8=
6/4=
3/2
Your answer in simplest form would be 3/2

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You park you car in a pay lot. Because you have a coupon, you get the first 4 hr and 45 min free. You pay for an extra 1 1/2hr.

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Answer:

6 hours and 15 minutes

Step-by-step explanation:

4 hours + 45 minutes + 1 hour + 30 minutes = 5 hours + 75 minutes = 6 hours + 15 minutes

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2 years ago

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