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Rufina [12.5K]
2 years ago
8

Multiply the trinomial x^2+xy+y^2 times the binomial x-y and simplify.

Mathematics
1 answer:
Natalija [7]2 years ago
6 0
Multiply then simplify, that's doing the same work twice...anyway

x^3+x^2y+xy^2-x^2y-xy^2-y^3

x^3-y^3  which if factored is:

(x-y)(x^2+xy+y^2)  which is what you started with :)
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From an aeroplane vertically above a straight horizontal plane, the angles of depression of two consecutive kilometres stones on
Airida [17]
You have to build the triangles.

They are such that:
h is the common height
x is the horizontal distance from the plane to one stone
Beta is the angle between x and the  hypotenuse

Then in this triangle: tan(beta) = h / x ......(1)

1 - x is the horizontal distance from the plane to the other stone
alfa is the angle between 1 - x  and h

Then, in this triangle: tan (alfa) = h / [1 -x ] ...... (2)

from (1) , x = h / tan(beta)

Substitute this value in (2)

tan(alfa) = h / { [ 1 - h / tan(beta)] } =>

{ [ 1 - h / tan(beta) ] } tan(alfa) = h

[tan(beta) - h] tan(alfa) = h*tan(beta)

tan(beta)tan(alfa) - htan(alfa) = htan(beta)

h [tan(alfa) + tan(beta) ] = tan(beta) tan (alfa)

h = tan(beta)*tan(alfa) / (t an(alfa)  + tan(beta) )





4 0
3 years ago
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou
Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

x+y\leq 13

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

4x+7y\geq 65

Number of hours can not be negative.

x\geq 0, y\geq 0.

Therefore, the required system of inequalities contains some equations,  x+y\leq 13,4x+7y\geq 65 and x, y\geq 0.

4 0
2 years ago
The sum of the cost of a veterinarian exam v and a $50 x-ray tip divided equally between 2 people.
JulijaS [17]
If you're just asking for how that'd look in algebraic form then the answer would be v+50/2
8 0
3 years ago
LM is the midsegment of trapezoid RSXY. What is the length of RS?<br> Can somebody help me with this
Vesna [10]
Hmm I’m not so sure but can you help me with this? If 150 Joules of work is needed to move a box 1000 cm, calculate the force that was used?
6 0
3 years ago
115.9% as decimal rounded to the thousands
vovikov84 [41]
115.9%
1.159
rounded is 1.159 still

4 0
3 years ago
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