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2 years ago

Given that g(x)=x2, find each of the following.

Mathematics

2 answers:

Dmitriy789 [7]2 years ago

6 0

Answer:

a) g(3) = 9

b) g(-1) = 1

c) g(-x) = x²

d) g(2y) = 4y²

e) g(1+h) = 1 + 2h + h²

Step-by-step explanation:

a) when x = 3 ,

g(3) = 3² = 9

b) when x = -1 ,

g(-1) = (-1)² = 1

c) when x = -x ,

g( -x ) = (-x)² = x²

d) when x= 2y ,

g( 2y ) = (2y)² = 4y²

e) when x = 1 + h ,

g( 1 + h ) = ( 1 + h )² = 1 + 2h + h²

nignag [31]2 years ago

5 0

Step-by-step explanation:

g(3) = 9 

g(-1) = 1

g(-x) = x²

g(2y) = 4y²

g(1 + h) = 1 + h² + 2h

using the identity (a +b)² = a² + b² + 2ab

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3 years ago

Please answerrrrr Thank you!!!!!!!!!!!!

dlinn [17]

The correct answers are:

_________________

" (x − 13) ° = 53 ° " ;

_________________

" x = 66 " ;

_________________

" m∠2 = 55° " ;

_________________

" m∠1 = 55° " .

__________________

Step-by-step explanation:

Note: The following "given values/answers" within the attached image:

Specifically:

(x − 13)° = 72° ; and;

x = 85° ;

_________________

are: "incorrect"—and are "arbitrarily assigned values"

_________________

The values and expressions given in the attached image, however, are correct/do make sense; and we can use such data to solve the problem.

_________________

Let's start by finding the measure of ∠2 ; that is: " m∠2 " :

To find m∠2:

_________________

Note that: both: "∠2 " ; and the angle that measures "175" with the attached image:

→ both form a straight line—that is;

→ they are "supplementary angles" ;

→ which means they add up to "180° " ;

_________________

So: To solve for: "m∠2" :

_________________

→ m∠2 = 180 − (125) = 55° ,

_________________

Now; to solve for: " m∠1 " :

_________________

Note that ∠1 and ∠2 are vertical angles: which means that they have equal measurements;

{since: vertical angles are congruent; which means that vertical angles are equal.} ;

_________________

→ As such, m∠1 = m∠2 = 55 °.

_________________

Now, take either ∠1 or ∠2 ; (each has the same "measurement"—"55° " ;

And combine with angle with the given measurement of 72° ;

And combine with the angle with the "given measurement of [the expression: ["x − 13"]° ;

_________________

All three of these angles form a straight line—that is;

→ they are "supplementary angles" ;

→ which means they add up to "180° " ;

So, 55° + 72° + (x − 13)° = 180° ;

Let us solve for "x" ; and for "(x − 13)" ;

_________________

55 + 72 = 127 ;

→ 127 + (x − 13) = 180 ;

Now, subtract "127" from each side of the equation:

_________________

→ 127 + (x − 13) − 127 = 180 − 127 ;

to get:

" (x − 13) = 53 " ; → which is one of our answers;

Now, to solve for "x" ; we add "13" to Each Side of the equation;

to isolate "x" on one side of the equation; & to solve for "x" :

_________________

x − 13 + 13 = 53 + 13 ;

to get:

_________________

x = 66 ;

_________________

So: The correct answers are:

_________________

" (x − 13) ° = 53 ° " ;

→ Double check by substituting our value of "66" for "x" :

" (66 − 13) =? 53 ? Yes! ;

_________________

" x = 66 " ;

_________________

" m∠2 = 55° " ;

_________________

" m∠1 = 55° " .

_________________

Hope these answers—and explanations—are helpful!

Best wishes!

_________________

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