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2 years ago

FIRST PERSON TO ANSWER GETS BRANILYEST

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

3 0

Car A Car B

d=rt d = rt

d = ra * 2.4 d = rb 4

ra = rb+22

distances are the same so set the equations equal

ra * 2.4 =rb *4

substitue in for ra

(rb+22) 2.4 =rb *4

distribute

2.4 rb +52.8 = 4 rb

subtract 2.4 rb from each side

52.8 = 1.6 rb

33 = rb

Car b travels at 33 miles per hour

Car a = 33+22

Car a = 55 miles per hour

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LMNO is a parallelogram. If NM = x + 15 and OL = 3x + 5, find the value of x

Sidana [21]

<span>LMNO is a parallelogram
so NM = OL
x + 15 = 3x + 5
solve for x
x - 3x = 5 - 15
-2x = -10
x = 5

Answer
x = 5</span>

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2 years ago

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Step-by-step explanation:

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2 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

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

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

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2 years ago

Calculate the partial sum S for the sequence 243,81,27,....

Llana [10]

Answer:363

Step-by-step explanation:

We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)

The sequence actually is 3^5,3^4.,3^3.....

Therefore first 5 terms are 1) 3^5 I.e. 243

2) 3^4 I.e. 81

3) 3^3 I.e. 27

4)) 3^2 I.e. 9

5) 3^1 I.e. 3

Adding all those no. we get partial sum of first 5 no. of the sequence

So, 243 + 81 + 27 + 9 + 3

= 363

Hope it helps!!!

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