Least value of expression x^2+4y^2+3z^2-4x-20y-12z+45 is.?

Answers

Answer 1

Answer: Hello,

4 is the least value.

Indeed:
x²-4x+4=(x-2)²
4y²-20y+25=(2y-5)²
3(z²-4z+4)=3(z-2)²

x²+4y²+3z²-4x-20y-12z+45= (x-2)²+(2y-5)²+3(z-2)²+45-4-25-12
=(x-2)²+(2y-5)²+3(z-2)²+4

Minimum is 4 when x=2,y=5/2 and z=2 for square is always positive.

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The weight of a person on Venus is directly proportional to their weight on Earth. Aperson weighing 120 pounds on Earth weighs 106 pounds on Venus.
Approximately how much would a person weighing 180 pounds on Earth weigh on
Venus?

Answers

Answer:

a person would weigh 158 pounds on venus

Step-by-step explanation:

weight of a person on venus is directly proportional to their weight on earth

i.e. weight on venus ∝ weight on earth

weight on venus = k * weight on earth

where k is the constant of proportionality

according to the question:

106 = k * 120

k = 106/120 = .88

thus,

person weighing 180 pounds on earth weighs on venus:

weight on venus = .88 * 180

= 158 pounds

One angle of a right triangle measures 8º. What is the measure of the other acute angle?

Answers

82 degrees. Cause 180- (8+90)

Write an expression that shows how to use the halving and doubling strategy to find 28 x 50

Answers

doubling strategy( 28 × 50 ) × 2 = 2800
halving strategy 2800/2 = 1400

Give the nth term and the next term of this

8,13,18,23,28

Answers

so it's add 5 to each so the next term would be 33

so first term is 8 so
1st term=8
2nd term=8+5 so therefor the equation is
the nth term is 8+5n-5
so therfor first term is 8+5(1)-5=8+5-5=8

second term=8+5(2)-5=8+5=13

equation is nth term=8+5n-5

Your answer is going to be 33. All it is doing is adding up 5

A music club has 35 drum players. If 25% of the total number of members in the club are drum players, what is the total number of members in the club?60
70
120
140

Answers

So, all we have to do for this is
1. Turn the percent into a decimal. 25%=0.25
2. Divide the whole number by the percent. 35/0.25=140

The answer is 140

Answer:

D is the correct answer.

Step-by-step explanation:

If 4x+3=9x-4 then x =

Answers

4x+3=9x-4
-4x -4x
3=5x-4
+4 +4
5x=7
x= 7/5

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