P: Parenthesis
E: Equation
M:Multiplication
D: Division
A : addition
S: Subtraction
So first you need to divide because it is before so you divide 18 by 6 which is 3 then you subtract (31 - 3) which gives you 28
answer : 28
F(x)·g(x) = (3x +4)·(5 -x) = -3x^2 +11x +20
(f·g)(x) = -3x^2 +11x +20
Answer:
z = 1
Step-by-step explanation:
See the diagram of the triangle attached to this question.
We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.
Hence,
42z + 37 = 40z + (26z + 13)
⇒ 42z + 37 = 66z + 13
⇒ 37 - 13 = 66z - 42z
⇒ 24 = 24z
⇒ z = 1 (Answer)
Answer: The sides length are 8.32 cm
Step-by-step explanation:
An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.
The area of a triangle is 
where the base is L, the Area is 30 and an unknown height.
To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of 
, a hypotenuse of L and a the unknown height.
Then we apply the <em>Pythagoras theorem</em>, this states that <em>in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides</em>, or, 
Where one c is and the other is the height.
Then we find one of the c of the equation wich will be the height.
Finally, we use the triangle area mentioned before an find the value of L.
The period of the y=1/2 sin (2x)-3 is 2.
We have given that,
y=1/2 sin (2x)-3
We have to determine the period
<h3>
What is the period?</h3>
A period is the part of the menstrual cycle when a woman bleeds from her vagina for a few days.
Normally the period of sin(2x) is 2x, but the pi inside the sin(2x) is a horizontal compression by a factor of 1/pi.
So 2pi·1/pi = 2
The 1/2 and -3 do not impact the period. Those just impact the amplitude (vertical aspect) of the graph.
To learn more about the period visit:
brainly.com/question/879750
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