Answer:
Step-by-step explanation:
the Pythagorean theorem is
c is the hypotenuse which is the side opposite of the right angle
plug the numbers into the Pythagorean theorem

when squaring a square root, just take the number in the radical and get rid of the radical

subtract 26 from both sides


find the square root of 143
143 is prime so it can just be written as

So it would be 8/40. And in its simplest terms would be 1/5
Answer:
y=2x+7
Step-by-step explanation:
The slope of the new line is 2 because that is the opposite of -1/2
To find the equation of the line, plug the points (-2,3) into point-slope form:
y-y1=m(x-x1).
y-3=2(x+2)
Multiply (x+2) by 2 and simplify to get the final answer.
y-3=2x+4
y=2x+7
Answer:
7.5* 10^8
Step-by-step explanation:
(1.5 x 10^5)(5 x 10^3)
Multiply the numbers
1.5*5=7.5
Add the exponents
10 ^(5+3) = 10^8
Put back together
7.5* 10^8
This is in scientific notation