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liubo4ka [24]
3 years ago
6

Help me plz with problem I need a lot of help with it

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0
Take 70 multiply by .47 and the answer is 32.9
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Among all pairs of numbers (x,y)such that 6x+2y=36 find the pair for which the sum of squares, x^2+y^2 is minimum.
lora16 [44]
First, we simplify 6x+2y=36 into 3x+y=18 by dividing by 2. This means that y=-3x+18.


The sum x^2+y^2 can be written as: x^2+y^2=(x+y)^2-2xy, 
<span>
from the binomial expansion formula: </span>(x+y)^2=x^2+2xy+y^2.
<span>
Thus, substituting </span>y=-3x+18 and simplifying we have<span>

</span>x^2+y^2=(x+(-3x+18))^2-2x(-3x+18)=(-2x+18)^2+6x^2-36x=4x^2-72x+18^2+6x^2-36x=10x^2-108x+18^2.

This is a parabola which opens upwards (the coefficient of x^2 is positive), so its minimum is at the vertex. To find x, we apply the formula -b/2a. Substituting b=-108, a=10, we find that x is 108/20=5.4.


At x=5.4, the expression 10x^2-108x+18^2, which is equivalent to x^2+y^2, takes it smallest value.

Substituting, we would find 10x^2-108x+18^2=10(5.4)^2-108(5.4)+18^2=291.6-583.2+324=32.4 This is the smallest value of the expression. 


For x=5.4, y=-3x+18=-3(5.4)+18=1.8.



Answer:   (5.4, 1.8)
8 0
3 years ago
Write an explicit rule to represent the sequence: 20, 24, 28, 32, 36....
IgorC [24]

Answer:

Me neither. I feel your pain.

Step-by-step explanation:

7 0
3 years ago
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BRAINLIESTTT ASAP! PLEASE HELP ME :)
crimeas [40]

Denali- 6.7x70= 469

The building should be strong enough to withstand an earthquake of that magnitude.

Rat Island- 7.8x30=234

The building should be string enough to withstand an earthquake of that magnitude.

Hope this helps! ;)

3 0
3 years ago
PLEASE HELP ME DUE SOON ILL MARK AS BRAINLIEST!!<br> Find M∠1 and M∠3 in the kite.
QveST [7]

Answer:

1 = 39 degrees (some theorem, like triangles sharing a bisector or something sorry)

3 = 51 degrees (if 1=39 and 2=90 degrees since its on a right angle, and a triangle's angles add up to 180, then you subtract 1 and 2 from 180 and get 51

7 0
2 years ago
F r e e <br> P o i n t s<br> .............................
Nastasia [14]

Answer:

thx

Step-by-step explanation:

4 0
2 years ago
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