Step-by-step explanation:
#1.
(a + 2b)²
<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>
= (a)² + (2b)² + 2 × (a) × (2b)
= a² + 4b² + 4ab
= a² + 4ab + 4b² Ans.
#2.
(5x - 3y)²
<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>
= (5x)² + (3y)² - 2 × (5x) × (3y)
= 25x² + 9y² - 30xy
= 25x² - 30xy + 9y² Ans.
#3.
(3a + 4)(3a - 4)(9a² + 16)
<em>Using identity (x + y)(x - y) = x² - y², we get:</em>
= [(3a)² - (4)²][9a² + 16]
= (9a² - 16)(9a² + 16)
= (9a²)² - (16)²
= 81a⁴ - 256 Ans.
Answer:
Step-by-step explanation:
5x + 3 = 2x - 6
3x + 3 = -6
3x = -9
x = -3
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
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Answer:
Step-by-step explanation:
Let's draw the given information first for better understanding . Check the image attached.
We can use cosine rule to find the angles .
for angle A ,
m∠A = 48.35 degrees
Similarly for angle B
m∠B = 94.94 degrees
Now use A+B+C=180 degrees
48.35+94.94+C=180
C=180-48.35-94.94
m∠C = 36.71 degrees
