a square with side length s has an area of 324 square centimeters. this equation shows the area of the square: s^2= 324. what is the side length of the square in centimeters?

Answers

Answer 1

Answer: If the square has the side s, and area A=324
then s=√324=18
the side of the square is 18cm

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Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 3x – 3 = 0

Simultaneous equations
4x + 7y= 1
3x +10y=15

Answers

(-3)× (4x+7y=1) -12x-21y=-3
4× (3x+10y=15) 12x+40y=60 ⇒ (x s cancel out)

-21y=-3
40y=60 ⇒19y-57
y=3
for find the x plug in the 3 to the y one of these two equations and solve for the x

12x+40(3)=60
12x=-60
x=5 HOPE IT HELPS:)

We are going to be adding the two equations and want to cancel something out to isolate the other.
Let's cancel out the x term first
Multiply the first equation by -3 and the second equation by 4
-3(4x+7y)=-3(1) => -12x-21y=-3
4(3x+10y)=4(15) => 12x+40y=60
Add the two equations and the x terms cancel out, leaving 19y=57
y=57/9=3
Substitute that into the second equation and you get
3x+10(3)=15
3x+30=15
3x=-15
X=-15/3=-5
Final answer:
x=-5
y=3

Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes. The regular price of each pair of shoes was $49.99. How much did Ellie pay for the two pairs of shoes, excluding tax?

Answers

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

Factor this radical expression. 50a^2-10ab/20a^3b^3

Answers

remembe
(ax)/(bx)=(a/b)(x/x)=(a/b)1
find ones aka common factors and use distributive

top
50a^2-10ab
common facotrs is 10a
undistribute (ab+ac=a(b+c))
10a(5a-b)

bottom
20a^3b^3
see if 10a is also a common factor and undistribute that to cancel and make ones
10a(2a^2b^2)

now we have
$(10a(5a-b))/(10a(2a^(2)b^(3))$ = $(10a)/(10a)$ $(5a-b)/(2a^(2)b^(3))$

1)split into two fractions
$(50a^(2) )/(20a ^(3) b ^(3) )$ - $(10ab )/(20a ^(3) b ^(3) )$

2) cancel what you can on both sides
$(5)/(2ab ^(3) )$ - $(1)/(2a ^(2)b ^(2) )$

3) Make the denominators the same by cross multiplying and then put together as 1 fraction again
$(5a-b)/(2a ^(2)b ^(2) )$

Brad drives 527 miles on 17 gallons. How many miles does Brad drive on one gallon?31 miles per gallon
527 miles per 17 gallons
5.27 miles per gallon
1 over 31. miles per gallon

Answers

31 miles per gallon

Answer:

31 miles per gallon

Step-by-step explanation:

Help please it emergency if you help thank you a lot

Answers

Answer:

Step-by-step explanation:

That is the only rate that has the correct format.

Answer:

A. 9 miles/2 hours

Step-by-step explanation:

distance over time

Segments AP and BP have the same length. If the coordinates of A and P are (-1,0) and (4,12), respectively, which could be the coordinates of B?I. (3/2, 6)

II. (9, 24)

III. (-8,7)

A) I and II only

B) II and III only

C) II only

D) III only