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?

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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

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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 answer is in the image 

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

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

Mathematics
Step-by-step answer
P Answered by PhD

Volume of rectangular prism=length * width * height

Given,

length=3/8cm

breadth=5/8cm

height=7/8cm

therefore volume=(3/8)*(5/8)*(7/8)

                           =105/512 cm3

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