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Mariana [72]
2 years ago
14

Find the equation of this line. Acellus

Mathematics
1 answer:
aalyn [17]2 years ago
8 0

Answer:

Step-by-step explanation:

two points on the line are (-3,-2) and (5,4)

slope=(4+2)/(5+3)=6/8=3/4

eq. of line is

y+2=3/4 (x+3)

4y+8=3x+9

4y=3x+1

y=3/4 x+1/4

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Determine whether each given value of x satisfies the inequality x+1<x/3
Vinil7 [7]

x+1 < \dfrac{x}{3}\ \ \ \ |\cdot3\\\\3x+3 < x\ \ \ \ |-3\\\\3x < x-3\ \ \ \ |-x\\\\2x < -3\ \ \ \ |:2\\\\x < -1.5

Answer: (c) x = -4

5 0
3 years ago
Which of the following equations best describe this relation?
Ostrovityanka [42]

Answer:

B.) C= 3n-2

Explanation:

6 0
3 years ago
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Kiran scored 36 baskets in 1 week. She scored 1/2 of the baskets on the weekend. She scored 1/4 of them on Tuesday, she scored 1
notka56 [123]

Answer:

6 baskets did Kiran score on Thursday

Step-by-step explanation:

As per the statement:

Kiran scored 36 baskets in 1 week.

On weekend she scored = \frac{1}{2} \cdot 36 = 18 baskets.

She scored 1/4 of them on Tuesday

⇒On Tuesday she scored = \frac{1}{4} \cdot 36 = 9 baskets

She scored 1/12 of them on Wednesday

⇒On Wednesday she scored = \frac{1}{12} \cdot 36 = 3 baskets.

Then;

She scored = On Weekend + On Tuesday + On Wednesday = 18+9+3 = 30 baskets.

Rest on Thursday she scored = 36 - 30 = 6 baskets.

Therefore, 6 baskets did Kiran score on Thursday

8 0
3 years ago
20% of what number is equal to 2/3 of 90?
blagie [28]
Let the number be x, then

1/5 * x = 2/3 * 90

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7 0
3 years ago
Driving to your friend's house, you travel at an average rate of 35 miles per hour. On your
Mamont248 [21]

Answer:

14 miles.

Step-by-step explanation:

Let the distance traveled from home to destination = x miles.

Speed while going to friend's house = 35 miles per hour.

Speed while coming back = 40 miles per hour.

Total Time taken for the journey = 45 minutes = 0.75 hours.

Let the time taken while going to friend's house = y hours.

Therefore, the time taken while going to friend's house = (0.75 - y) hours.

To find x and y, model the speeds of both the journeys.

Speed while going to friend's house = Distance/Time.

35 = x/y.

x = 35y (Equation 1).

Speed while coming back = Distance/Time.

40 = x/(0.75 - y).

x = 40(0.75 - y) (Equation 2).

Since x = x, therefore:

35y = 30 - 40y.

75y = 30.

y = 30/75.

y = 0.4 hours.

Put y = 0.4 hours in Equation 1:

x = 35y.

x = 35(0.4).

x = 14.

Therefore, the distance between my friend's house and my house is 14 miles!!!

4 0
3 years ago
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