What is the equation of the hyperbola ?

krek1111 [17]

Problem One
Find AM
AM = 71.5 - 22 = 49.5

Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5

Step Three
Set up the Proportion

AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5

Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98

Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??

10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer

6 0

3 years ago

PLEASE HELP! SO CONFUSED! 25 POINTS!!

MrRa [10]

Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= (x + 4)(3x² - 7)

each term in the second factor is multiplied by each term in the first factor , that is

x(3x² - 7) + 4(3x² - 7) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28 ← in standard form

7 0

2 years ago

How do you solve ?? 5x^4( 6x^4-3x^2 +7)

melamori03 [73]

Multiply the exponent of x by 4giving The answer is x^4 evaluates to Multiply and 5 Multiply and 1 The just gets copied along. The answer is 5*x^4 evaluates to Multiply the exponent of x by 4giving The answer is x^4 evaluates to Multiply and 6 Multiply and 1 The just gets copied along. The answer is 6*x^4 evaluates to Multiply the exponent of x by 2giving The answer is x^2 evaluates to Multiply and 3 Multiply and 1 The just gets copied along. The answer is 3*x^2 evaluates to 6*x^4-3*x^2 evaluates to The answer is 6*x^4-3*x^2+7 evaluates to Multiply by we multiply by each term in term by term. This is the distributive property of multiplication. Multiply and Multiply the and Multiply and Combine the and by adding the exponents, and keeping the x, to get The answer is × = Multiply and Multiply the and Multiply and Combine the and by adding the exponents, and keeping the x, to get The answer is × = Multiply and 7 Multiply and 1 The just gets copied along. The answer is × 7 = 5*x^4*(6*x^4-3*x^2+7) evaluates to The final answer is

3 0

3 years ago

What are integers? Please give your best explanation and a simple example (worth 20 points)

tino4ka555 [31]

<h3>Explanation</h3>

What is Integer?

Integer is a subset of Real Number. It can be broken into these following:

Positive Integer
Zero
Negative Integer

Integer can be any whole numbers. Keep in mind that Integers cannot be fractions, decimal, approximate value, etc. Integers can only be something like 1,2,3,-1,-2,0.

Integers are like Natural or Counting Numbers except they have 0 and negative numbers.

Positive Integer

Positive Integers are basically a natural or counting number. It starts from 1 to any positive countable infinity. Here is the example of positive integer: 1,2,3,4,5,6,7,...

Zero

Zero is just a number 0. It is between the negative and positive. 0 is neither positive or negative but it is categorized as Zero.

Negative Integers

Negative Integers are opposite of Positive Integers. The opposite of plus is minus and the opposite of minus is plus. Negative Integers are less than both 0 and Positive Integers. Here is the example: -1,-2,-3,-4,-5,...

5 0

3 years ago

Read 2 more answers

168 h = [?] days helppp

Nitella [24]

24 h in 1 day

just divide the hours by 24

168 : 24 = 7

6 0

3 years ago