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Naddik [55]
3 years ago
6

Sinxcosy=1/2(sin(x+y)+cos(x-y)) True or False? Thanks for the help!

Mathematics
1 answer:
natita [175]3 years ago
6 0

Answer:

False

Step-by-step explanation:

To be able to answer this, we will need to make a reference to the sum and product formula.

What we have in the question is the product and we want to see if the sum correlates.

Using the sum formula, we have the value on the right hand side as;

(1/2)[sin(x+y)+sin(x-y)]

Seeing that the expression we have here is not equal to that which was given, we can conclude that the answer is false

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1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
2 years ago
Alec's password consists of 1 letter and 4 digits. What is the probability of correctly guessing Alec's password?
valentinak56 [21]

Answer:

11A22

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
If A= (-4 1 -4) (3 3 1) (2 5 5) and B= (-4 -5 4) (3 3 -5) (2 2 -1), find AB
nadezda [96]

Answer:

\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right]

Option D will be your answer

-----------

hope it helps...

have a great day!!

6 0
2 years ago
EEEEE Pleasee help meeeee
ivanzaharov [21]

Answer:

B

Step-by-step explanation:

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4 0
2 years ago
Gravity on the Moon is much weaker than on Earth. The expression below can be used to approximate the time in seconds it takes f
melisa1 [442]
It will take an object dropped from a height of 50 meters √50/0.82 = 8.62 seconds to land on the moon.
7 0
3 years ago
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