X² + mx + 14
If (x+2) one of the factors, we can write
14 = 2*7
m = 2+7= 9
x² +9x + 14 = (x+2)(x+7)
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:

2. The two equal angles (θ) can be found using the following trigonometric identity:


Hence, the two equal angles are 44°.
I hope it helps you!
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:




Item a:
The sum of <u>all the probabilities has to be 1</u>, that is:

Thus:



The missing value is 0.04.
Item b:
The mean is given by the <u>sum of each outcome multiplied by it's probability</u>, thus:

The mean is of 0.37.
A similar problem is given at brainly.com/question/20709747
Answer:
6
Step-by-step explanation:
(a^3 - b^3)/5
Let a =2 and b = -3
(2^3 - (-3)^3)/5
Exponents inside the parentheses
(8 - -27)/5
Subtracting a negative is like adding
(8+27)/5
Finish adding inside the parentheses
35/5
Divide
7