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3 years ago

What is scientific notation (9.45 x 10^10) (1.5 x 10^6)

Mathematics

1 answer:

blsea [12.9K]3 years ago

3 0

divide 33 photos into two groups so the ratios 4 to 7

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Carter draws one side of equilateral △PQR on the coordinate plane at points P(-3,2) and Q(5,2). Which ordered pair is a possible

Law Incorporation [45]

Step-by-step explanation:

Hey, there!!!

Let me simply explain you about it.

We generally use the distance formula to get the points.

let the point R be (x,y)

As it an equilateral triangle it must have equal distance.

now,

let's find the distance of PQ,

we have, distance formulae is;

$pq = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

$or \: \sqrt{( {5 + 3)}^{2} + ( {2 - 2)}^{2} }$

By simplifying it we get,

$8$

Now,

again finding the distance between PR,

$pr = \sqrt{( {x2 - x1}^{2} + ( {y2 - y1)}^{2} }$

or,

$\sqrt{( {x + 3)}^{2} + ( {y - 2)}^{2} }$

By simplifying it we get,

$= \sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 }$

now, finding the distance of QR,

$qr = \sqrt{( {x - 5)}^{2} + ( {y - 2)}^{2} }$

or, by simplification we get,

$\sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

now, equating PR and QR,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13} = \sqrt{ {x}^{2} + {y}^{2} - 10x - 4y + 29 }$

we cancelled the root ,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = {x}^{2} + {y}^{2} -10x - 4y + 29$

or, cancelling all like terms, we get,

6x+13= -10x+29

16x=16

x=16/16

Therefore, x= 1.

now,

equating, PR and PQ,

$\sqrt{ {x}^{2} + {y}^{2} + 6x - 4y + 13 } = 8}$

cancel the roots,

${x}^{2} + {y}^{2} + 6x - 4y + 13 = 8$

now,

(1)^2+ y^2+6×1-4y+13=8

or, 1+y^2+6-4y+13=8

y^2-4y+13+6+1=8

or, y(y-4)+20=8

or, y(y-4)= -12

either, or,

y= -12 y=8

Therefore, y= (8,-12)

by rounding off both values, we get,

x= 1

y=(8,-12)

So, i think it's (1,8) is your answer..

Hope it helps...

3 0

3 years ago

Donald has x twenty-dollar bills and 11 ten-dollar bill. How much money does Donald have? Write your answer as an expression.

kirill115 [55]

Answer:

Is there anymore information that is given to this question? Like how much money Donald has in total?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

HELP FAST PLEASE

Gala2k [10]

Answer:

b 35

Step-by-step explanation:

you need to find it between the two middle numbers 30 and 40

which gives you 35

3 0

3 years ago

Fred's frog jumped 7 times as far as Al's frog. The two frogs jumped a total of 56 inches. How far did Fred's frog jump?

sergey [27]

8 inches

Divide 56 by 7 which equals 8 so Fred's frog jumped 8 inches.

5 0

3 years ago

Nancy bought 3.5 gallons of gasoline. she paid 10.43. What was the price per gallon for the gasoline

schepotkina [342]

Answer:

Nancy paid 2.98 per gallon of gasoline.

Step-by-step explanation:

The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:

ratio = total money / total gasoline

ratio = 10.43 / 3.5

ratio = 2.98 money / gallon

Nancy paid 2.98 per gallon of gasoline.

3 0

3 years ago