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3 years ago

Triangle ABC is graphed in Quadrant I of a coordinate plane, and none of the vertices have an x-coordinate or

Mathematics

1 answer:

Ulleksa [173]3 years ago

8 0

Answer:

Step-by-step explanation:

D. the corresponding sides of triangle ABC and triangle A'B'C' are congruent

because the sides do not change their length when we rotate the triangle

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46.The function f graphed above is the function f(x) = log2(x) + 2 for x > 0. Find a formula for the inverse of this function

pantera1 [17]

Answer:

The inverse for log₂(x) + 2 is - log₂x + 2.

Step-by-step explanation:

Given that

f(x) = log₂(x) + 2

Now to find the inverse of any function we put we replace x by 1/x.

f(x) = log₂(x) + 2

f(1/x) =g(x)= log₂(1/x) + 2

As we know that

log₂(a/b) = log₂a - log₂b

g(x) = log₂1 - log₂x + 2

We know that log₂1 = 0

g(x) = 0 - log₂x + 2

g(x) = - log₂x + 2

So the inverse for log₂(x) + 2 is - log₂x + 2.

3 0

4 years ago

City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of

NNADVOKAT [17]

<h2>Hello!</h2>

The answer is:

The correct option is the third option,

$L(p(x))=2.425(1.082)^{x}$

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

$p(x)=2.5(1.082)^{x}$

and

$L(p(x))=p(0.97)$

So, the evaluationg p(x) into L(p), we have:

$L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}$

Hence, the correct option is:

The third option,

$L(p(x))=2.425(1.082)^{x}$

Have a nice day!

6 0

3 years ago

Please, I need to know how this question is done. please

oksian1 [2.3K]

subsitute x = 6 into the lengths

3(6) -7

18 - 7

11cm

(6) + 5

11cm

therefore it is a square when x = 6 because the sides are all equal

8 0

3 years ago

What is the volume of a cylinder if ,

sergiy2304 [10]

38,016 cm³

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</h3>

We are given that :

Height of cylinder = 21 cm

Radius of cylinder = 24 cm

Therefore, Volume :

➙ V = πr²h

➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )

➙ V = ( 22 / 7 ) × 576 × 21

➙ V = ( 22 × 576 × 21 ) / 7

➙ V = 266112 / 7

➙ V = 38016

‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~Hence, the volume of given cylinder is 38,016 cm³.

<h3>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</h3>

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

The Formula for volume of cylinder is given by :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎➙ πr²h

8 0

2 years ago

Read 2 more answers

Given a=-3,b=4 and c=-5, evaluate a-b-c A.-12 B.-6 C-2

adelina 88 [10]

Answer:

Step-by-step explanation:

a-b-c

-3-4-(-5)

-3-4+5 [as - - = +]

-2

3 0

3 years ago