Let's use an example
Say we had two lines P and Q. If P has slope 2/5, then Q must have slope -5/2 in order for P and Q to be perpendicular.
Note how -5/2 is the negative reciprocal of 2/5. In other words, you flip the fraction and the sign to go from either slope.
Another thing to notice is that the two slopes multiply to -1. This is true for any pair of perpendicular lines as long as neither line is vertical.
Answer:
+ 7 and - 2
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
x² + 5x - 14 = (x + 7)(x - 2) ← in factored form
Answer:
b ) the intersection of two events
Step-by-step explanation:
Gary and Steve are both hosting . There are 50 buttons total, 15 buttons are blue and 27 buttons are red. Gary puts all of the buttons into a bag. Steve and Gary both want to wear red buttons.What is the probability ? To solve this problem, you need to understand the Multiplication Rule of Probability.This probability means to find the probability of the intersection of two events, multiply the two probabilities.
Probability of two events occurring that is called intersection of two events. There are two different set of events , called independent and dependent events.
Independent events event is not affected by a previous event.
A dependent event is when one event influences the outcome of another event . To find the intersection of two events, whether they are independent or dependent, multiply the two probabilities together.
The length of a pendulum that makes one full swing in 1.9 s is about 2.926 which is about 3ft when rounded to the nearest foot
Answer:
-7x+6
Step-by-step explanation:
Use the distributive property.
Add the negative in front of each number in the parenthesis.
- (7x) -(-6)
Since 6 is negative, a negative multiplied by a negative is equal to a positive. Change the negative in front of the 6 into a positive.
-7x + 6
