Write out the slope formula:
m = (change in y) / (change in x)
Here,
m = n-(-9) / (-6-(-2)) = (n+9 / (-4)
Now set this slope equal to -1 and solve the resulting equation for n:
(n+9) / (-4) = - 1, or (n+9) / 4 = 1, or n+9 = 4. Then n = -5.
Answer:
9sqrt(3) in.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
If the short leg measures 1, then the hypotenuse measures 2.
The length of the hypotenuse is twice the length of the short leg.
The length of the long leg is sqrt(3) times the length of the short leg.
If the hypotenuse measures 18 in., then the short leg measures 9 in.
Then the long leg measures 9sqrt(3) in.
Answer:
88
Step-by-step explanation:
Given:
(h⁴ + h² – 2) ÷ (h + 3).
We could obtain the remainder using the remainder theorem :
That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).
Using the reminder theorem,
Equate h+3 to 0 and obtain the value of h at h+3 = 0
h + 3 = 0 ; h = - 3
Substituting h = - 3 into (h⁴ + h² – 2) to obtain the remainder
h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88
Hence, remainder is 88
A and C is 59 because 1 line is 180 degrees so you add 75 and 46 and you get 121 and then do 180 - 121 and you get 59
