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IRISSAK [1]
2 years ago
15

Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k

Mathematics
1 answer:
-Dominant- [34]2 years ago
6 0

Answer:

k can either be

12

or

−

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

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Number System
Pie
C is the correct answer
4 0
2 years ago
Use the function below to find F(1).<br> F(t) = 2•1/2^3t
stiv31 [10]

Answer:

D) 1/4

Step-by-step explanation:

To solve this, first lets figure out what this variable is. We know we must multiply by t. Well, looking at it, we know that t is one. So lets plug that in.

2*1/2^3(1)

Now we need to figure out what the exponent is that 2 will be raised to. To find that, find out what 3 times one is.

2*1/2^3

Now we need to solve the exponent.

2*1/8

Remember, 2 cubed is eight.

Now we need to find out what 2*1/8 is. To solve this more easily, I am going to turn two into a fraction. This will give us 2/1*1/8. Now we cross multiply, multiplying the numerators by the numerators, and the denominators by the denominators. Remember, the numerator is the top number, and the denominator is the bottom number.

If we do that, we get:

2/8

If we simplify it, we get 1/4. So the asnwer is D) 1/4

6 0
2 years ago
Pls help lol eeeeeeeeee :D :D
Studentka2010 [4]

Answer:

9 units2

Step-by-step explanation:

area of a triangle= lengthxwidth/2

3x6=18/2=9

6 0
3 years ago
Read 2 more answers
Start: 8:49pm. finish: 9:17 what is the answer calculate the duration​
tatuchka [14]

Answer:

1 minute and 8 seconds or 1:08

Step-by-step explanation:

by subtracting both at starting with 9:17-8:49 you will get a uneven decimal than you gonna have to give as much 60 seconds you can get out of it the 60 seconds equals a minute

8 0
3 years ago
3x\4=2y+6xy. what is "x" equal too? what is "y" equal too?
andreyandreev [35.5K]
 the answer is 
x=8y/3(1-8y)


y=3x/8(1+3x)

hope this helped l used cymath to solve this problem. 
good day : )
6 0
3 years ago
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