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tensa zangetsu [6.8K]
2 years ago
15

What is an expression for the distance between the origin and a point P(x,y)

Mathematics
1 answer:
kirza4 [7]2 years ago
5 0

Answer:

d =  \sqrt{ {x}^{2}  +  {y}^{2} }

Step-by-step explanation:

Distance between origin (0, 0) and point (x, y) is given as:

d =  \sqrt{ {(x - 0)}^{2}  +  {(y - 0)}^{2} }  \\  \\ \red{ \bold{ d =  \sqrt{ {x}^{2}  +  {y}^{2} } }}

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When figuring out the amount of mulch would be needed for Alex's back yard, he created an equation that
soldier1979 [14.2K]

Answer:

Alex will need 14 bags

Step-by-step explanation:

B= 4(2x+7)+3(2x+7)

and

2x+7=2

First, we should solve the second equation to obtain x:

2x+7=2

2x=2-7

x= -5/2

Then, we use this answer to calculate B:

B=4(2(-5/2)+7)+3(2)

B=4(-5+7)+6

B=4(2)+6

B=8+6

B=14

Alex will need 14 bags

7 0
3 years ago
Together two ferries can transport a day's cargo in 7 hours. The larger ferry can transport cargo three times faster than the sm
Ksju [112]

Answer:

9 hours, 20 minutes

Step-by-step explanation:

When two ferries work together, they transport a day's cargo in 7 hours

The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1

The sum of the ratio = 4 (3 + 1)

This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.

Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.

9.33 hours = 9 hours, 20 minutes.

6 0
3 years ago
Giselle pays $190 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account.
Archy [21]
Y= -10x + 190

In using a linear function, follow the pattern y=mx + b.
In this scenario, the m (which represents slope) is -10 since $10 is taken away every time. The b(which represents y-int) is 190 because you start with 190 (x=0)
7 0
3 years ago
Read 2 more answers
1. If A = {a, b, c, d}, B={c, d, e, f}, C={x, y, z} find (A-B)​
vitfil [10]

Answer

here

A={a,b,c,d}

B={c,d,e,f}

C={x,y,z}

A-B={e,f}

8 0
1 year ago
Help!<br> Change 2/5<br> to a percent.
nalin [4]

Answer:

40%

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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