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3 years ago

The distance between points (3,7) and (x1-y1) is the square root of (x1-3)2+(y1-7)2

Mathematics

1 answer:

galben [10]3 years ago

7 0

Answer:

True

Step-by-step explanation:

In analytical geometry, you can find the distance between two points situated on the same plane using the distance formula. The equation is

d = √[(x2-x1)^2+(y2-y1)^2]

This can be applied by first applying which is point 1 or point 2. Technically, it does not matter which is which, as long as you are consistent in pairing of the x,y coordinates. In this case, point 1 is (3,7) and point 2 is (x1,y1). Therefore, when you substitute the values, the distance would be

d = √[(x1-3)^2+(y1-7)^2]

The statement is TRUE.

I hope this helped. I am not sure it did. But I hope it helped you. I hope you get the question right. And I am sorry if you get the question wrong.

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casey is six time as old as Ralph, In two years, she will be four time as old as Ralph. How old is each of them now?

Keith_Richards [23]

Casey is 18 years old and Ralph is 3 years old.

Step-by-step explanation:

Let,

Age of Casey = x

Age of Ralph = y

According to given statement;

x = 6y Eqn 1

In two years

x+2=4(y+2)

x+2=4y+8

x = 4y+8-2

x = 4y+6 Eqn 2

Putting value of x from Eqn 1 in Eqn 2

$6y=4y+6 \\6y-4y=6\\2y=6$

Dividing both sides by 2

$\frac{2y}{2}=\frac{6}{2}\\y=3$

Putting y=3 in Eqn 1

$x=6(3)\\x=18$

Casey is 18 years old and Ralph is 3 years old.

Keywords: word problems, substitution method

Learn more about substitution method at:

#LearnwithBrainly

7 0

3 years ago

I need help please help m

Bond [772]

there are 10 numbers you want either a 4 or 7 ( 2 numbers)

so probability is 2/10 which reduces to 1/5

5 0

3 years ago

the interest on an investment varies directly as the rate of of interest. if interest is $47 when interst rate is 5% find the in

NNADVOKAT [17]

Answer:

The interest when rate is 5.2% is $48.88

Step-by-step explanation:

if interest (I) varies directly as interest rate (R)

Then

I ∝ R

I=cR

c= constant

if interest is $47 when interest rate is 5%

47 =.05c

c = 940

if interest rate is 5.2% then

I = 940 x .052

=48.88

=$48.88

7 0

3 years ago

(1) a) 5270 cl= ? dal

Ivanshal [37]

Answer:

Check below

Step-by-step explanation:

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

$a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl$ .

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

$10^3$

Bear in mind these useful relations:

$1litre =\frac{1}{10^3}m^{3}$

$1 cm^{3} =1 ml$

$a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}$

6 0

3 years ago

Buying something in order to increase social status is known as _____ consumption.

kkurt [141]

1) conspicuous consumption

6 0

3 years ago

Read 2 more answers