(3x-2y)2=how do you solve this?

Answers

Answer 1

Answer: $(3x-2y)^2=(3x)^2-2\cdot3x\cdot2y+(2y)^2=9x^2-12xy+4y^2\n\n\n\n(a-b)^2=a^2-2ab+b^2$

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Faye and Andrew have written down the same negative number.Faye squares the number then multiplies by 2 and adds 4.
Andrew multiples the number by 21 then subtracts the result from 40.
They both finish with the same answer. What was the number?

Answers

x - the number

Faye squares the number: x²
then multiplies by 2: 2x²
and adds 4: 2x²+4

Andrew multiplies the number by 21: 21x
then subtracts the result from 40: 40-21x

They both finish with the same answer, so the results are equal.
$2x^2+4=40-21x \n2x^2+21x+4-40=0 \n2x^2+21x-36=0 \n2x^2+24x-3x-36=0 \n2x(x+12)-3(x+12)=0 \n2x-3=0 \ \lor \ x+12=0 \n2x=3 \ \lor \ x=-12 \nx=(3)/(2) \ \lor \ x=-12$

The number is negative so x=-12.

The number is -12.

Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. A. 56 in.
B. 44 in.
C. 28 in.
D. 88 in

Answers

Diameter = 28 inches

radius, r = Diameter/2 = 28/2 = 14 inches.

C = 2πr

C = 2*π*14

C = 28π

C ≈ 28*3.142

C ≈ 87.976

C ≈ 88 inches

Option D.

Ok so the given is the length of the diameter.
diameter=28 in
so the radius is half the diameter
radius=28/2=14 in
Circumference formula=2 × pi × radius
C=2(pi)(14) - pi can be considered as 3.14 or the value in the calculator
C=28(PI)
C=87.96 in ≈ 88 in
The easiest way is just use the diameter times the pi
Because 2 times the radius is just the diameter
So we can derive that
C= diameter × pi
C=d(pi)
C=28(pi)
C=87.96 in ≈ 88 in

jordan has been offered two summer jobs. One job is at the mall and pays $7 per hour. The other job is with your neighbor, who will pay $50 per week plus $5 per hour. How many hours per week would jordan have to week for both jobs to pay the same amount?

Answers

so, let's let P be his profit (wage) and h be total hours he is deciding to work for.

P = 7h
P = 5h + 50

These are the equations we have. Imagine they are lines on graph paper, and we have to find their intersection point (a point where an xy point is on both lines). To do this, we have to find the h and P. I'll use some algebra:

P - P = 5h + 50 - 7h
0 = -2h + 50
2h = 50
h = 25

So, after 25 hours in a week, he should have gotten the same amount of money from both jobs.

A merchant bought 30 dozen pairs of gloves. How many individual gloves did the merchant buy? A-720 B-420 C-300

Answers

The merchant product bought a total of 360 individual gloves is C-300.

To find the total number of individual gloves the merchant bought, we need to calculate the product of the number of dozen pairs and the number of gloves in each pair.

30 dozen pairs of gloves mean 30 x 12 pairs of gloves since there are 12 pairs in a dozen.

Now, to find the total number of individual gloves, we multiply the number of dozen pairs by the number of gloves in each pair:

30 dozen pairs x 12 gloves per dozen pair = 360 gloves

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A-720

30x12x2

There are 30 dozen, a dozen means twelve. 30 times 12 is 360. There are 360 pairs of gloves. A pair means 2. 360 pairs times 2 gloves in a pair equals 720.

Where do I start because there are two pairs of parentheses but I think I state with division right?

Answers

You just do the inside of the parenthesis at the same time and then insert them into the equation. It doesn't matter which you do first, as long as they end up solved

Find the measures of 1 and 2

Answers

Answer:

1 ) ∠1 = 105 ∠2 = 75

2) ∠1 = 50 ∠2 = 50

Step-by-step explanation:

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