Answer: 3p² + q² - 5pq - 10 < 0
<u>Step-by-step explanation:</u>
p² - q² + 2pq < -2p² - 2q² + 7pq + 10
since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.
(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0
3p² + q² + -5pq + -10 < 0
3p² + q² - 5pq - 10 < 0
Yes, yes I can. But post them please haha
<h2>
Answer:</h2><h2>
The kite is 186.75 metres from the ground</h2>
Step-by-step explanation:
The length of the string, hypotenuse = 225 m
Angle of elevation, θ = 56°
Sine of an angle is the ratio of the opposite side over the hypotenuese.
Sin θ =
substitute the values in the formula,
Sin 56° =
h = 225 (Sin 56°)
= 225 (0.83)
= 186.75 metres
The kite is 186.75 metres from the ground
Answer:
40 boxes
Step-by-step explanation:
box = 24 x 15 x 10 = 3600 cm
1 paper clip box = 6 x 3 x 5 = 90 cm
3600/90 = 40
so 40 boxes of paper clips will fit
The constant of proportionality represented by K will be 1/3 which is shown in the given graph.
<h3>What is the constant of proportionality?</h3>
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
The proportional relationship between x and y can be written symbolically as
That middle sign is called a sign of proportionality.
In the given graph x line and y line have been graphed.
Since the relation between them has been represented by a straight line, so their relationship can be represented by
x = K × y
where K is the proportionality constant.
Now K =
=
= 1/3
therefore, the constant of proportionality will be 1/3.
Learn more about proportionality ;
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