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I am Lyosha [343]
4 years ago
8

AB = 5 units and CD = 5 units, what is the length of your new segment, AD?

Mathematics
1 answer:
pogonyaev4 years ago
5 0

Answer:

New segment AD = 10 units

Step-by-step explanation:

Given:

AB = 5 units

CD = 5 units

Find:

New segment AD.

Computation:

⇒ New segment AD = AB + CD

⇒ New segment AD = 5 units + 5 units

⇒ New segment AD = 10 units

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Which quadrant would the ordered pair (-10, 8) be located in?
goldfiish [28.3K]

Answer:

Quadrant 2

Step-by-step explanation:

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5 0
3 years ago
1. What is (f⋅g)(x)?
nekit [7.7K]

Answer:

(f⋅g)(x)= x^7 + 9x^4 - 9x^3 -81

(f - g)(x) = x^3 - 6x^2 + 18x + 6x - 10

Step-by-step explanation:

For the first part of the question we have two functions

f(x) = x^4 -9

g(x) = x^3 + 9

If the expression refers to the multiplication of f and g, then:

(f⋅g)(x)= f (x)g(x)

So we multiply the function f(x) with the function g(x)

(f⋅g)(x)= (x^4 - 9)(x^3 + 9)

(f⋅g)(x)= x^7 + 9x^4 - 9x^3 -81

For the second part we have the functions:

f(x) = x^3 -2x^2 + 12x - 6\\\\g(x) = 4x^2 - 6x + 4

We wish to find (f - g) (x). We know that

(f - g)(x) = f(x) - g(x)\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 - [4x^2 - 6x + 4]\\\\(f - g)(x) = x^3 - 2x^2 + 12x - 6 -4x^2 + 6x - 4

(f - g)(x) = x^3 - 6x^2 + 18x + 6x - 10

5 0
4 years ago
Solve by completing the square x^2-4x+9=0
Masteriza [31]

Step-by-step explanation:

Add 9 to both sides of the equation.

if you want to create a trinomial square on the left, find value that is equal to the square of half of b

Add the term to each side of the equation

SIMPLIFY >:(

How to Simplify it:

-Raise the -2 to the power of 2

and ten simplify 9 + (-2)^2 :

--Raise -2 to the power of 2 and then add 9 and 4

Factor the perfect trinomial square into (x - 2)^2

Solve the equation for x

How to do it:

-Take the square root of each side of the equation to set up the solution for x

--Then remove the perfect root factor, x - 2 under the radical to solve for x

---Remove parenthesis

----add 2 to both sides of the equation.

the final answer could be shown in different ways,but the exact form is x=±√13+2

In decimal form its x=5.60555127…,−1.60555127…

--this took me like 7 minutes to do im no geek tho lol

7 0
3 years ago
Find the discriminant of 2x square + x - 6 is equal to zero?​
Igoryamba

Answer:

When the discriminant value is zero, we get one real solution; When the discriminant value is negative, we get a pair of complex solutions; Standard Form. The standard discriminant form for the quadratic equation ax 2 + bx + c = 0 is. Discriminant, D = b 2 – 4ac. Where. a is the coefficient of x 2. b is the coefficient of x. c is a constant term.

Estimated Reading Time: 50 secs

Step-by-step explanation:

7 0
3 years ago
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