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
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
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Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

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Step-by-step answer
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=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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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.

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