Answer:
y = - x - 5
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = 2x + 3 is in this form with slope m = 2
given a line with slope m then the slope of a line perpendicular to it is
= - = -
y = - x + c ← is the partial equation
To find c substitute (- 2, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = - x - 5 ← equation of perpendicular line
This would basically be :
5 1/3 - 3 9/18
Then, make both fractions share a common denominator
5 6/18 - 3 9/18
Then, change the first number to make it compatible to subtract
4 24/18 - 3 9/18 = 1 15/18
Simplify
1 15/18 = 1 5/6
Answer:
Add 10y to both sides.
Step-by-step explanation:
The answer is 10
Because of the Pythagorean theorem, for sides of a right triangle (a triangle with one 90 degree angle) a, b, and c, where c is the hypotenuse (the side opposite the 90 degree angle), a^2 + b^2 = c^2.
We have a and b given in this problem, 6 and 8. We are solving for c. So 6^2 + 8^2 = c^2.
6^2 = 36, 8^2 = 64. 36 + 64 = 100. So c^2 = 100. The square root of 100 is 10, so c = 10.