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Sloan [31]
3 years ago
15

For what values of k is 9x^2+k+16 a perfect square?

Mathematics
1 answer:
melomori [17]3 years ago
4 0

Answer:

<em>24x </em>

Step-by-step explanation:

a² ± 2ab + b² = (a ± b)²

(3x)² +<em><u>    k    </u></em>+ 4² = (3x)² +<em><u> 2(3x)(4) </u></em>+ 4²

k = <em>24x</em>

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A car is traveling at a speed of 45 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers w
oee [108]

Answer:

24 kilometers

Step-by-step explanation:

1.2 kilometers per minute; 12 kilometers

Step-by-step explanation:

We know that 60 minutes makes 1 hour.

Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:

72 / 60 = 1.2 kilometers per minute.

Distance is given as speed multiplied by time.

Therefore, in 10 mins, the car travels:

1.2 * 20 = 24 kilometers.

7 0
3 years ago
The value of the expression is
elixir [45]

Answer:

24

P: parentheses (12 - 8) = 4

E: exponents (3^2) = 9

M: multiplication (12-8)/2 * 4 = 8

D: division (12-8)/2 = 2

A: addition (7 + 9 + 8) = 24

S: subtraction (blank)

Following the order of operations, our final answer is: 24

3 0
3 years ago
Read 2 more answers
Rearrange then factorise x^2-5x+19=5x+3
Tema [17]

Answer:

x = ±4i or x = ±√-16

Step-by-step explanation:

x² - 5x + 19 = 5x + 3

x² + 16 = 0

x² = -16

x = ±√-16  (a negative square root is an imaginary number)

4 0
3 years ago
How do I solve for x ?X +8=-15
DanielleElmas [232]
Subtract 8 from both sides
So you end up with x = -23
7 0
3 years ago
Read 2 more answers
Simplify (sin^2theta + cos^2theta)(sin theta + cos theta)
Aleksandr-060686 [28]

Answer:

sin θ + cos θ

Step-by-step explanation:

(sin²θ + cos²θ) (sin θ + cos θ)

(1) (sin θ + cos θ)

sin θ + cos θ

5 0
4 years ago
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