23.06.2021

(20 points) Point B has coordinates (5,1). The x-coordinate of point A is -3. The distance between point A and point B is 10 units. What are the possible coordinates of point A?

. 11

Step-by-step answer

09.07.2023, solved by verified expert
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the possible coordinates are -9 and 3

Step-by-step explanation:

coordinates of B=(x2,y2)= (5,1)

Coordinates of A= (x1, y1)= (-3, z)

distance= 10 units

Formula: d=(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

substituting the values in the above formula

10=(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

10=(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

10=(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

10=(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

taking square root on both sides

100=(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

100-73=(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40=0

(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

(20 points) Point B has coordinates (5,1). The, №18009980, 23.06.2021 12:40

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Mathematics
Step-by-step answer
P Answered by Master

the possible coordinates are -9 and 3

Step-by-step explanation:

coordinates of B=(x2,y2)= (5,1)

Coordinates of A= (x1, y1)= (-3, z)

distance= 10 units

Formula: d=\sqrt{(y2-y1)^2+(x2-x1)^2}

substituting the values in the above formula

10=\sqrt{(z-(-3))^2+(-3-5)^2}

10=\sqrt{(z+3)^2+(-8)^2}

10=\sqrt{(z^2 +6z+9)+(64)}

10=\sqrt{(z^2 +6z+73)}

taking square root on both sides

100=z^2 +6z+73

100-73=z^2 +6z

z^2 +6z-27=0

z^2 +9z-3z-27=0

z(z+9) -3(z+9)=0

(z-3)(z+9)=0\\z-3=0 ; z+9=0\\z=3 : z=-9

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

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