mathleteig

I completely forgot about Heron's Formula! Thanks CPhill

Are you looking for the possible values of x and y?

In that case, let's factor it!

xy + 5y + 4x + 20 = 1

y ( x + 5 ) + 4 ( x + 5 ) = 1

( y + 4 ) ( x + 5 ) = 1 

Since 1 can ony be represented as 1 * 1 or (-1) * (-1), the only "friendly" integer solutions I see are...

x = -6, y = -5                  (-6, -5)

x = -4, y = -3                  (-4, -3)

The sum of exterior angles in a n-sided polygon will always remain at a consistent 360 degress

To find the n, the number of sides, we have to divide the total angle measure by the measure of each exterior angle

360 / 15 = 24 

The polygon has 24 sides.

The requirement for divisibility by 3 is that all the digits have to add up to a multiple of 3. 

3 + 6 + 7 + 9 + 2 = 27 

This is already divisible by 3 so you can say that the largest multiple of 3 from 1 - 10 is the value of A.

3 * 1 = 3

3 * 2 = 6

3 * 3 = 9

A = 9; the sum of the digits is 36 which is 12 * 3

The answer was actually none of the above, which makes sense if you draw it out.

This can be set up as a simple proportion.

HEIGHT OF ALICIA : SHADOW OF ALICIA = FLAGPOLE HEIGHT : SHADOW OF FLAGPOLE

Remember, we have to the keep the units consistent.

150 cm : 200 cm = x : 2400 cm 

150 * 2400 = 200x 

x = 150 * 2400/200

x = 150 * 12

x = 1800 cm

In meters, it would be 18 meters.

(3) is not the only correct answer, there is more than one.

B

If you draw a graph or look it up on Desmos, it curves down around y = 10. It only hits the second and third quadrant. B is the only situation that describes this. 

X = 7 is a vertical line meeting the x-axis at of course X = 7

Y = -9 is a horizontal line meeting the y-axis at of course Y = -9

Their point of intersection would be (7, -9).

Any number that can be written as X * X * X * X where is X is a prime number has exactly 5 factors

- 2^4 

-3^4

-5^4

-7^4 > 1000... 

Your answer would be 3 positive integers. Specifically--2, 3, and 5.