Answer:
a=sqrt(d)-b, a=-sqrt(d)-b
Step-by-step explanation:
(a+b)^2=d
(a+b)=sqrt(d)
a+b=sqrt(d), a+b=-sqrt(d)
a=sqrt(d)-b, a=-sqrt(d)-b
Answer: If you borrow $900 over the course of six years at a 7% yearly interest rate. You will be charged $1350.65.
Answer: 216 square units
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Explanation:
A common pythagorean triple you may be familiar with is the 3-4-5 right triangle. This has two legs of 3 and 4, and a hypotenuse of 5. The perimeter is 3+4+5 = 7+5 = 12. Note how this is a factor of 72.
If we multiply the perimeter (12) by 6, then 12*6 = 72. So we have scaled the triangle by a factor of 6. Each length is 6 times longer
the side length 3 becomes 3*6 = 18
the side length 4 becomes 4*6 = 24
the side length 5 becomes 5*6 = 30
The new perimeter is 18+24+30 = 42+30 = 72
The last step is to find the area. The two legs of this triangle are the base and height
area = 0.5*base*height
area = 0.5*18*24
area = 9*24
area = 216
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Or you could find the area of the 3-4-5 right triangle to get
area = 0.5*base*height = 0.5*3*4 = 6
then multiply by 36 to get 6*36 = 216. The 36 is the square of the scale factor 6 we applied above. The new lengths are 6 times longer, so the new area is 6^2 = 36 times larger.
Answer:
Earth's average distance from the Sun is
times more than is from the Moon.
Step-by-step explanation:
Given the average distance of Earth from the Sun is
kilometers.
Also, the approximate distance of Earth from the Moon is
kilometers.
For this, we will divide the average distance of Earth from the Sun by approximate distance of Earth from the Moon.
So,

Answer:
Step-by-step explanation:
use the distance formula to find the lengths of all the sides of the triangle, if all of the sides are the same, its an equilateral. If the sides are different in this case it is a right. You can check this by using the Pythagorean theorem. the distance formula is the square root of (x2-x1)^2+(y2-y1)^2
for the coordinates make sure that you don't mix them up, if you pair the wrong coordinates up, it won't work
(x1,y1) (x2,y2)