Answer:
The answer is

Step-by-step explanation:
The slope of a line given two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(1,-4) and (3,-1)
The slope is

We have the final answer as

Hope this helps you
Answer:
29*sqrt(5)
Step-by-step explanation:
Start with sqrt (45). You must reduce it to it's prime factors.
45: 9 * 5 9 is not prime so reduce it.
45: 3 * 3 * 5
When you write √45, you should replace it with √(3*3*5)
The rule is
Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away.
Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.
√45 = 3√5
11sqrt(45) - 4 sqrt(5) Substitute for 45
11*3*sqrt(5) - 4sqrt(5) Take out sqrt(5) using the distributive property.
(11*3 - 4)*sqrt(5) Combine 11 * 3
(33- 4) * sqrt(5) Do the subtraction
29 * sqrt(5) Answer
Answer:
$2.6
Step-by-step explanation:
12/4=3 that means each paintbrush cost $3
3.20/8=0.4 that means each pen cost $0.40
3-0.4=2.6
Answer:
(4b-9) (4b+9)
Step-by-step explanation:
16b^2 – 81
This is the difference of squares
(a^2 -c^2) = (a-c) (a+c)
a^2 = 16b^2 so a= 4b
c^2 = 81 so c = 9
(16b^2 – 81) = (4b-9) (4b+9)