By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.
Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

, where

represents the points being passed through.



Answer:
chances are 10.5
Step-by-step explanation:
Answer:
21.8° (22° to the nearest degree)
Step-by-step explanation:
Using cosine law:
a² = b² + c² - 2bc(cosA)
3² = 5² + 7² - 2(5)(7)cosA
cosA = 13/14
A = 21.7867893
Approximately angle: 22°
Answer:
The number of ways to select 5 diamonds and 3 clubs is 368,082.
Step-by-step explanation:
In a standard deck of 52 cards there are 4 suits each consisting of 13 cards.
Compute the probability of selecting 5 diamonds and 3 clubs as follows:
The number of ways of selecting 0 cards from 13 hearts is:

The number of ways of selecting 3 cards from 13 clubs is:

The number of ways of selecting 5 cards from 13 diamonds is:

The number of ways of selecting 0 cards from 13 spades is:

Compute the number of ways to select 5 diamonds and 3 clubs as:

Thus, the number of ways to select 5 diamonds and 3 clubs is 368,082.