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3 years ago

10

The graphs of the equations x^2 + y^2 =4 and y = x are drawn on the same set of axes. What is the total number of the points of

intersection?

1 answer:

Lera25 [3.4K]3 years ago

5 0

Answer:

2

Step-by-step explanation:

The first equation is a circle. The second equation is a line. If you make the line cross the circle, it'll really only hit 2 points.

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Find the centroid for an area defined by the equations y = x² + 3 and y = - (x – 2)² + 7

meriva

The points where the 2 graphs intersect is where x = 0 and x = 2.

- 2 2
x = INT x dA / INT dA
0 0

INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2

xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667

centroid = 2.667 / 2.667 = 1 (x = 1)

3 0

3 years ago

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William is going to invest in an account paying an interest rate of 5.9% compounded

Valentin [98]

Answer:

$\$400.92$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=19\ years\\ A=\$1,230\\ r=5.9\%=5.9/100=0.059$

substitute in the formula above

$1,230=P(e)^{0.059*19}$

solve for P

$1,230=P(e)^{1.121}$

$P=1,230/(e)^{1.121}$

$P=\$400.92$

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3 years ago

Assuming she worked at a constant rate, how many rows had been completed before Elena started working?

tatyana61 [14]

The answer is 12 :)

5 0

3 years ago

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How many hundreds tens and ones have 423

Gnom [1K]

Four hundreds two tens and three ones

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3 years ago

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1200 students attend Ridgewood Junior High School. 5% of students bring their lunch to school everyday. How many students brough

pantera1 [17]

Answer:

Your answer is 60 kids brought there lunch to school on Thursday.

Step-by-step explanation:

1200*.05 = 60

5 0

2 years ago