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anzhelika [568]
3 years ago
14

How many solutions are there to the equation n^2-13n=-40

Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0
It has 2 real solutions which are 5 and 8
Nitella [24]3 years ago
4 0

Answer:

n = 5

n = 8

Step-by-step explanation:

n^2 - 13n = -40

Equate everything to zero

n^2 - 13n + 40 = 0

Factorise

(n - 5)(n - 8) = 0

Either

n - 5 = 0

Add 5 to both sides

n - 5 + 5 = 0 + 5

n = 5

Or

n - 8 = 0

Add 8 to both sides

n - 8 + 8 = 0 + 8

n = 8

n = 5 or

n = 8

It has two real solutions

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If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Musya8 [376]

Answer:

17.6 minutes

Step-by-step explanation:

\frac{4}{5} = \frac{x}{22}

5x=22

x=\frac{22}{5}

4(\frac{22}{5} ) = \frac{88}{5} = 17.6

5 0
2 years ago
Anyone please help and explain !! thanks
Serhud [2]
AP and BQ are medians of the triangle ABC and K is the centroid of the triangle.
One of the properties of  the medians is that the point of intersection divides the median in the ratio 2:1

So BK = 2 KQ  therefore 

15 = 2 * KQ 
and KQ = 7.5  answer
8 0
2 years ago
What is the measure of b if a=20 and c=29. using the pythagorean theorem ​
kicyunya [14]

Since a^2+b^2=c^2 becomes 20^2+b^2=29^2, we solve for b:

400+b^2=841

b^2=441

b=21

So the length of b is 21 units.

Hope this helped!

5 0
3 years ago
Read 2 more answers
Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.
aliya0001 [1]
<span>Blocks numbered 0 through 9 are placed in a box, and a block is randomly picked.=3/10

</span><span>The probability of picking an odd prime number is . The probability of picking a number greater than 0 that is also a perfect square is=3/10</span>
3 0
3 years ago
Read 2 more answers
Q1: Gabbi purchased a 30 lb. bag of dog food. Gabbi has 3 dogs that each eat 20 ounces of dog food per day. How many days will t
olya-2409 [2.1K]

Answer:

x=8

Step-by-step explanation:

First multiply 30 and 16 to find out how many ounces are in the 30 lb. bag of dog food.

30 x 16=480

Since the 3 dogs eat 20 ounces of food, we can make a equation.

3(20x)=480

20 x 3=60

60x=480

x=8

<u>Final answer</u>

8 days

3 0
2 years ago
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