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lions [1.4K]
3 years ago
11

X^2-18x-6. complete the square ​

Mathematics
2 answers:
USPshnik [31]3 years ago
8 0

Answer:

(x - 9)² = 87

Step-by-step explanation:

Move the -6 to the other side

x² - 18x = 6

The number you add to each side is (b/2)²

(b/2)² is (-18/2)² = 81

x² - 18x + 81 = 87

(x - 9)² = 87

vlabodo [156]3 years ago
6 0

Answer:

(x-9)^2-87

Step-by-step explanation:

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To make sure that a given parallelogram is a rectangle, at least hon many of
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Answer:

D. One

Step-by-step explanation:

     A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.

     A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do <u>the math</u> to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.

     "<u>The Math</u>"

-> Keep in mind there will be four angles

-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.

360° - 90° = 270°

270° / 3 = 90° ✓

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2 years ago
Express the area of the entire rectangle <br> Your answer should be a polynomial in standard form
Ugo [173]

Answer: x^2 + 6x + 8

Step-by-step explanation: (x+2)(x+4) = x^2 + 4x + 2x + 8

= x^2 + 6x + 8

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3 years ago
Meeta buys a ticket for the movie and a popcorn, which costs $6. She spends $16.50 in all. How much was the movie ticket?
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10.50

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3 years ago
What is the slope of line M.<br> What is a?<br> What is B?
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A school is organizing a weekend trip to a nature preserve. For each student, there is a $50 charge, which covers food and lodgi
k0ka [10]

The number of students going on the trip is 50.

Given,

A school is organizing a weekend trip to a nature preserve.

For each student, there is a $50 charge, which covers food and lodging. There is also a $25 charge per student for the bus.

The school must also pay a $15 cleaning fee for the bus.

The total cost of the weekend is $3,765.

We need to find out how many students will be going on the trip.

<h3>How do we find the number of items from the cost of each item and the total amount?</h3>

We simply divide the total cost by the cost of each item.

Example:

Total amount = 10

Each item cost = 2

Number of items = 10/2 = 5

Find the charge of each student.

= Food and lodging charge + bus charge

= $50 + $25

= $75

Find the additional charge for the trip.

= Cleaning charge

= $15

Find the total cost of the trip.

= $3,765

Find the total charge from the students.

= $3,765 - $15

= $3,750

Find the number of students who went on the trip.

= Total charge from the student's ÷ cost of each student

= 3750 ÷ 75

= 3750 / 75

= 50

This means 50 students.

Thus the number of students who went on the trip is 50.

Learn more about finding the number of students who like both games with a ratio given here:

brainly.com/question/24125573

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2 years ago
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