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irinina [24]
3 years ago
13

Find the value of k for which the equation has equal roots x^2+(k+9)x+15=0 ​

Mathematics
1 answer:
wel3 years ago
4 0

Answer:

k=-9±2√15

Step-by-step explanation:

For the above quadratic to have equal roots then it's discriminant b²-4ac must equal 0

By comparing x²+(k+9)x+15=0 with ax²+bx+c=0,a=1,b=k+9 and c=15

(k+9)²-4(1×15)=0

k²+18k+81-60=0

k²+18k+21=0(factorize)

k=-9±2√15

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PLEASE HELP, WILL GIVE BRAINLIEST IF CORRECT!!!! (08.06 MC) Mike and his friends bought cheese wafers for $2 per packet and choc
maks197457 [2]

Answer:

x = 5 , y = 15

Step-by-step explanation:

You can solve this using substitution.

Let the quantity of cheese wafers be denoted by x and the quantity of chocolate wafers denoted by y

2x + 1y = 25

x + y = 20

These two equations are the answer to part A, (remember to include the above prompt which says what x and y denote).

For part B I used substitution because it was more applicable to the question then addition or elimination.

ACTUAL WORK

Set 2x + 1y = 25 equal to x

x = 25 - y / 2

Replace x with y in the second equation

(25 - y / 2) + y = 20

And solve for y

y = 15

Since we know what y is we can replace y in the second equation and find what x is

x + 15 = 20

Solve for x

x = 5

8 0
3 years ago
If the variance of the "number of daily parking tickets issued is 100, the standard deviation is defined as the _____________. A
Alex17521 [72]

Answer:

Square root of the variance of the "number of daily parking tickets"

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are.

Its symbol is σ (the Greek letter sigma)

The formula is easy: it is the square root of the Variance.

8 0
3 years ago
Can the measurement from △DEF be determined using only the Law of Cosines? State whether each measurement can be determined usin
quester [9]

9514 1404 393

Answer:

  • ∠D - no
  • ∠E - no
  • DE - yes

Step-by-step explanation:

With a single application of the Law of Cosines, you can only find one of an unknown side or an unknown angle. The other three elements in the 4-variable equation must be specified.

However, a single application of the LoC can be used to find DE. Then, knowing the three sides, either of the unknown angles can be found from an additional application of the LoC.

So, the answer is "it depends." It is yes to all if finding DE first is allowed. It is "no" to the angles if they must be found without finding DE first.

7 0
3 years ago
The sum of three consecutive integer is -204. what is the largest integer? -63 --44--67 -62
Lisa [10]
-x + -x-1 + -x-2 = -204
-3x=-201
x=-67

-67-68-69=-204

5 0
3 years ago
What is 4/5 x 3 1/8 in simplest form
Lesechka [4]

3 1/8 means 8 x 3 + 1 = 25/8

Step-by-step explanation:

4/5 x 25/8

= 4x25/5x 8

= 100/40

= 5/2

6 0
2 years ago
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