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Sliva [168]
4 years ago
10

Write x2 - 12x + 8 in vertex form.

Mathematics
1 answer:
valentina_108 [34]4 years ago
7 0
Hello,
x^2-12x+8=x^2-2*6x+6^2-36+8=(x-6)^2-28

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What is the sum of the first nine terms of this Sequence if the first term is 0?
Harlamova29_29 [7]

Answer:

D. 160

Step-by-step explanation:

The sum of the sequence 1, 2, 3, 4, ... , n is n(n + 1)/2.

Here, you have the sum of 4(1, 2, 3, 4, ... , n), so the sum is 4[n(n + 1)/2]

In this case, the first term is 0, so the last term is the 8th term of the sequence above, so n = 8

4[n(n + 1)/2)] =

= 4[8(9)/2]

= 4[72/2]

= 4(36)

= 144

The closest answer is D. 160

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The quotient of a number and four decreased by ten is two what is the number
alukav5142 [94]
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3 years ago
Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in e
nika2105 [10]

The shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option - A circle with a diameter of 5 feet

<h3>Determining shape</h3>

From the question, we are to determine the statement that describes the shape of the barrier

From the given information,

The barrier is 2.5 feet from the tomato plant in <u>every direction</u>.

This can be likened to a circle that has a radius of 2.5 feet.

Recall: Radius of a circle is the distance from the <u>center</u> of the circle to <u>any point</u> on it's circumference

If radius of a circle is 2.5 feet, the diameter will be 2 × 2.5 feet = 5 feet

Hence, the shape of the barrier is a circle with a diameter of 5 feet. The correct option is the last option-  A circle with a diameter of 5 feet

Here is the complete question:

Serena constructed a wire barrier to protect her tomato plant from squirrels. The barrier is 2.5 feet from the tomato plant in every direction. Which statement describes the shape of the barrier?

A circle with a radius of 5 feet

A square with diagonals 5 feet long

A square with sides 5 feet long

A circle with a diameter of 5 feet

Learn more on Determining shape here: brainly.com/question/3069141

#SPJ1

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2 years ago
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