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g100num [7]
3 years ago
15

Please, help,,,,, thanks

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0
Is this correct ? Hope this helped!

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If ab = 9 and a² + b² = 81, then (a+b)² = ?​
Andre45 [30]

Answer:

99

Step-by-step explanation:

Through some clever algebra, we can combine our first two equations using the fact that

(a+b)^2=a^2+2ab+b^2

We have the a² and the b² in the equation a^2+b^2=81, and we <em>almost </em>have a 2ab in the equation ab=9. To get that 2ab, we can simply double both sides of the first equation to get 2ab=18. From there, we'll add the first two equations together, giving us the summed equation

a^2+b^2+2ab=81+18\\a^2+2ab+b^2=99

And since (a+b)^2=a^2+2ab+b^2, we can equivalently say that

(a+b)^2=99

5 0
3 years ago
Look at my image I need to find y​
Harman [31]
Your answers would be -5 , -4
5 0
3 years ago
becky rides her scooter to work. it takes her 40 minutes to go 3 miles. if she continues at the same rate, how long will it take
Alika [10]
15 miles is five times 3 miles.
It will take 40*5=200 minutes to go 15 miles.
200 minutes = 3+20/60 hours = 3hrs 20min
5 0
4 years ago
Read 2 more answers
A bag of chips weighs 228 grams. If each chip weighs 0.12 grams, how many chips are in the bag?
Gala2k [10]

Answer:

1900

Step-by-step explanation:

so lets let x represent the total chips that in the bag.

We know that each chip weight 0.12 grams, and there are 228 grams in total.  ok so, 0.12x=228

Divided 0.12 to each side

0.12x/0.12=228/0.12

x=1900 chips Which  means there are 1900 chips in the bag. I hope this helped you<3 sorry if it didnt:(

6 0
2 years ago
I need to solve these two equations using either substitution or elimination
vitfil [10]

Answer:

y = -15

x = -10

Step-by-step explanation:

1/4x - 1/2 = 5 (1)

3x + 2/3y = -40 (2)

Multiply (1) by 4

1/4x - 1/2 = 5

1/4x * 4 - 1/2y * 4 = 5 * 4

4/4x - 4/2y = 20

x - 2y = 20 (3)

Multiply (2) by 3

3x + 2/3y = -40 (2)

3x * 3 + 2/3y * 3 = -40 * 3

9x + 6/3y = -120

9x + 2y = -120 (4)

x - 2y = 20 (3)

9x + 2y = -120 (4)

Using elimination method, Add (3) and (4)

9x + x = -120 + 20

10x = -100

x = -100/10

x = -10

Substitute x = -10 into (3)

x - 2y = 20 (3)

-10 - 2y = 20

-2y = 20 + 10

-2y = 30

y = 30/-2

y = -15

y = -15

x = -10

8 0
3 years ago
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