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jonny [76]
3 years ago
15

What number must you add to complete the square x^2 + 12x = -3

Mathematics
1 answer:
mihalych1998 [28]3 years ago
4 0

12 /2=6 then 6 squared =36

Add 36 to both sides

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)A bicyclist rides 14 miles in 112 minutes. If she continues at this speed, how long will it take her to travel 35 miles?
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3 years ago
Consider the sequence 100, 95, 90, 85, 80, 75 ...<br> What is the value of f(8)?
MAVERICK [17]

Answer:

f(8) = 65

Step-by-step explanation:

Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).

To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.

• 100 - 95 = 5

• 95 - 90 = 5

• 90 - 85 = 5

• 85 - 80 = 5

• 80 - 75 = 5

Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.

To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.

• f(1) = 100

• f(2) = 95

• f(3) = 90

     ......

• f(7) = 70

• f(8) = 65

5 0
3 years ago
Factorise fully X^2 subtract 2x
anastassius [24]

Answer:

x(x-2)

Step-by-step explanation:

X^2-2x

x(x-2)

7 0
3 years ago
Solve for x in the equation C = 8.5x + 6y. Show all work.
GarryVolchara [31]
C = 8.5x + 6y

Rearrange the equation by making the side with x, be on the Left Hand Side (LHS)

8.5x + 6y = C

Subtract 6y from both sides of the equation

8.5x + 6y - 6y = C - 6y

8.5x = C - 6y

Divide both sides of the equation by 8.5

(8.5x/8.5) = (C - 6y)/8.5

x =  (C - 6y)/8.5

I hope this helped.
7 0
3 years ago
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