Answer:
Step-by-step explanation:
Given expression:
To evaluate the expression.
Solution.
The values are
Let 
-----------1
Multiplying 10 both sides.
----------2
Subtracting 1 from 2.
-
-------------------------------------------
Dividing both sides by 9.
Let 
Multiplying both sides by 100
------------3
Multiplying 1000 both sides.
----------4
Subtracting 3 from 4.
- 
-------------------------------------------
Dividing both sides by 900.
So, we can evaluate the given expression as:
⇒
⇒ 
⇒ 
Taking LCD = 900
⇒ 
⇒ 
Adding numerators.
⇒ 
⇒ 
⇒ 
(Answer)
Answer:
Step-by-step explanation:
(x + 2)² = (x - 1)(x + 14)
x² + 4x + 4 = x² + 13x - 14
-9x = -18
x = 2
The first sentence in the chart belongs to the subjunctive mood, while the other sentences can be classified as part of the conditional mood.
<h3>What is a verb mood?</h3>
In language, the verb mood indicates the attitude of the speaker, and therefore, it provides clues about the way language is used. For example, the imperative mode indicates an order is being given.
<h3>What is the difference between the conditional and the subjunctive mood?</h3>
- Subjunctive: It is used for expressing wishes; due to this, it is common to find the use of words such as "wish".
- Conditional: It expresses a condition or a situation that will/can happen if another situation occurs. This can be identified due to the use of "if".
Based on this, the first sentences belongs to the subjunctive mood, while the other sentences are part of the conditional.
Learn more about the subjunctive in: brainly.com/question/22728240
#SPJ1
Answer:
See below. (C*a) + (P*b) = M
Step-by-step explanation:
amount of students = 45
amount of candy per student = 1
amount of popcorn per student = 1
Let "S" be the total amount of students
Let "C" be the total amount of candy
Let "P" be the total amount of popcorn
Let "T" be the total number of snacks
Let "a" be the price per candy
Let "b" be the price per popcorn
Let "M" be the total amount of money spent at the game
The price of the candy is unknown.
The price of the popcorn is unknown.
The total amount of money spent at the game is unknown.
(C*a) + (P*b) = M
I am not sure what you are asking for but, here is what I drew up for you. Hope this helps!
Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
