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fenix001 [56]
3 years ago
9

Divide a given line segment into four congruent parts. Bisect once and then bisect again the obtained half segments.

Mathematics
2 answers:
Bingel [31]3 years ago
7 0

Answer and Step-by-step explanation:

"Bisect" essentially means to cut in half. Here, since we are bisecting three times, we will have 4 equal pieces.

See the attachment. The red "x" just denote the fact that all 4 segments are the same length x.

Hope this helps!

Likurg_2 [28]3 years ago
6 0

Bisect means to divide into 2 parts. The question is asking us to bisect each half line segment till we get 4 congruent parts.

Basically, we are going to have a straight line with 4 parts that are all the same length.

The picture below will show what this should look like.

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elena-14-01-66 [18.8K]

Answer: Y= -5x + 7

Step-by-step explanation:

Y=Mx+b is slope intercept form therefore

The M is replaced with the slope and the b is the y- intercept hope this helps

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3 years ago
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The square of the sum of two numbers is 144 and the sum of of their square is 180, find the number... Please I really need the a
mr Goodwill [35]

Answer:

The numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

Given:

The squares of the sum of two numbers = 144

The sum of their squares = 180

The sum of the numbers = x+y

The square of the sum of numbers = (x+y)^2

Square of first number = x^2

Square of second number = y^2

The sum of their squares = x^2+y^2

Now, as per question:

(x+y)^2=144---(1)\\\\x^2+y^2=180---(2)

Expanding equation (1) using the formula (a+b)^2=a^2+b^2+2ab

This gives,

(x+y)^2=144\\\\x^2+y^2+2xy=144\\\\\textrm{Plug in the value of }x^2+y^2\textrm{ from equation (2)}\\\\180+2xy=144\\\\2xy=144-180\\\\2xy=-36\\\\xy=-\frac{36}{2}\\\\xy=-18\\\\y=-\frac{18}{x}---(3)

Plug in the value of 'y' from equation (3) in equation (1). This gives,

x^2+(-\frac{18}{x})^2=180\\\\x^2+\frac{324}{x^2}=180\\\\x^4+324=180x^2\\\\x^4-180x^2+324=0\\\\\textrm{On solving, we get:}\\\\x^2=178.2\ or\ x^2=1.8\\\\\textrm{Square root both sides, we get:}\\\\x=\pm13.35\ or\ x=\pm1.35

Therefore,

y=-\frac{18}{x}=-\frac{18}{\pm13.35} = \pm1.35\ or\\\\y=-\frac{18}{x}=-\frac{18}{\pm1.35}=\pm13.3

Therefore, the numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

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3 years ago
Find the minimum value of n that guarantees an error of no more than 1/30,000 in approximating integral 1/x dx from 3 to 4 by th
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What is the volume of the cone below?
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Geometry</u>

Volume of a Cone Formula: \displaystyle V = \frac{1}{3} \pi r^2h

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Step-by-step explanation:

<u>Step 1: Define</u>

Radius <em>r</em> = 12

Height <em>h</em> = 71

<u>Step 2: Find Volume</u>

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  3. Multiply:                                                                                                             \displaystyle V = \frac{1}{3} \pi (10224)
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Answer:

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So, we have:

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So, we have:

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3 years ago
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