If the inverse of a function is also a function, then
The function is said to be ….?

Answer:

√x-9=4

square on both sides

x-9=4*4

x-9=16

x=16+9

x=25

.

.hope it helps

plz mark as brainliest

[tex]( {x \sqrt{x} })^{x} = {x}^{x \sqrt{x} } [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

Let us first solve for L. H. S.

Substituting the value [tex]x\:={ \frac{9}{4} } [/tex], we have

➼[tex]\:( { \frac{9}{4} \sqrt{ \frac{9}{4} } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{9}{4} \sqrt{ \frac{( {3})^{2} }{( {2})^{2} } } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{9}{4} \times \frac{3}{2} })^{ \frac{9}{4} } [/tex]

➼[tex] \: ( { \frac{3 \times 3 \times 3}{2 \times 2 \times 2} })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{ {3}^{3} }{ {2}^{3} } })^{ \frac{9}{4} } [/tex]

➼[tex] \: ({ \frac{3}{2} })^{ \frac{9 \times 3}{4} } [/tex]

➼[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } [/tex]

Now let us find R. H. S.

➺[tex]\: {x}^{x \sqrt{x} } [/tex]

➺[tex]\: { \frac{9}{4} }^{ \frac{9}{4} \sqrt{ \frac{9}{4} } } [/tex]

➺[tex] \: ( { \frac{ {3}^{2} }{ {2}^{2} } })^{ \frac{9}{4} \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } } } [/tex]

➺[tex] \: ({ \frac{3}{2} })^{ 2 \times \frac{9}{4} \times \frac{3}{2} } [/tex]

➺[tex] \: { \frac{3}{2} }^{ \frac{54}{8} } [/tex]

➺[tex] \: ( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]

Since L. H. S = R. H. S

➝[tex] \: ({ \frac{3}{2} })^{ \frac{27}{4} } =( { \frac{3}{2} })^{ \frac{27}{4} } [/tex]

[tex]\boxed{Hence\:proved.}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

Step-by-step explanation:

Remark

You are going to use the Pythagorean Theorem. The trick is to find the length of the leg making up the base of the triangle.

That base is equal to the difference between the two bases.

Solution

The base of the triangle = 2x + 1 - (x + 3)      Remove the brackets.

base = 2x + 1 - x - 3

base = x - 2

Now the height of the trapezoid is also the second leg of the triangle. Apply the Pythagorean Theorem.

c^2 = a^2 + b^2

a = x - 2

b = x + 4

c = 2x

4x^2 = (x - 2)^2 + (x + 4)^2                              Expand the brackets

4x^2 = x^2 - 4x + 4 + x^2 + 8x + 16                Collect like terms

4x^2 = 2x^2 + 4x + 20                                    Subtract the right side from the left.

4x^2 - 2x^2 - 4x - 20 = 0

2x^2 - 4x - 20 = 0                                            Divide by 2

2x^2/2 - 4x/2 - 20/2 = 0              

x^2 - 2x - 10 = 0

x = - b +/- sqrt(b^2 - 4*a*c)/ 2a

a = 1

b = - 2

c = - 10

x = (- -2 + / - sqrt((-2)^2 - 4*(1)*(-10) ) / 2

x = (2 + / - sqrt(4 + 40 ))/2                      Only the plus root has any meaning.

x = ( 2 + sqrt(44 ) )/2

x = ( 2 + 2*sqrt(11) ) / 2

x = 1 + sqrt(11)

sqrt(11) = 3.3166

x = 1 + 3.3166

x = 4.3166

Answer:

ss

Step-by-step explanation:

sas

The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the radius of the circle be r

Let the center of the circle be A ( 5 , 2 )

Let the point on the circle be P ( -3 , 4 )

Now , standard form of a circle is

( x - h )² + ( y - k )² = r²

So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²

On simplifying the equation , we get

r² = ( 8 )² + ( 2 )²

r² = 64 + 4

r² = 68

Taking square roots on both sides , we get

r = √68

r = 2√17

Hence , the radius of the circle is 2√17 units

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ2

Answer:

32

Step-by-step explanation:

[tex]g(13) = 16 \\ f(16) = 32[/tex]

Answer:

Rectangle = 48 un²

Triangle = 12 un²

Total = 60 un²

Step-by-step explanation:

Area rectangle = 8 x 6 = 48 un²

Area triangle = 1/2 ( 6 x 4) = 1/2 ( 24 ) = 12 un²

Total = 48 un² + 12 un² = 60 un²

To check the total area, find the area of the trapezoid:

1/2 ( 8 + 12) * 6 =

(20 * 6)/2 =

120 / 2 = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

1.522 ft tall

Step-by-step explanation:

divide 13.8 by 6ft and you would get 2.3

the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.

Answer:

D

Step-by-step explanation:

In picture

Brainliest please ~

Answer:

The answer is most likely the last option.

Step-by-step explanation:

While the 2 triangles have different orientations, the two triangles are similar to one another. From my perspective, the scale would most likely be:

[tex] \frac{ab}{de} = \frac{bc}{ef} = \frac{ca}{fd} [/tex]

Note that the fractions can be flipped the other way around too.

[tex] \frac{de}{ab} = \frac{ef}{bc} = \frac{fd}{ca} [/tex]

Now, I can add in the values into the equation

This will give the answer

[tex] \frac{15}{22.5} = \frac{18.75}{bc} = \frac{fd}{ca} [/tex]

We are only looking at the first 2 fractions which were given, and the final option is the answer.

Answer:

x=40

Step-by-step explanation:

1/5x=8

x=8*5=40

x=40

Answer:

13th square number+4th cube number=233

Step-by-step explanation:

[tex]13^{2} +4^{3}[/tex]=233

The value of the sum of the 13th square number and the 4th cube number will be 223.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,

⇒ (13)² + (4)²

Simplify the numerical expression, then we have

⇒ (13)² + (4)³

⇒ 169 + 64

⇒ 223

The value of the sum of the 13th square number and the 4th cube number will be 223.

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ2

well...

if all three bags cost $4,000 then you'll need $3,700.

but if one bag costs $4,000 then that'll equal to $12,000 which then you'll need $11,700.

i might've misundestood your question so please let me know if this is correct!

Answer:

3.5 m

Step-by-step explanation:

PQ = 5/(5+5) × 7

= 5/10 × 7

= 3.5 m

Answer:

x = 23 , y = 21

Step-by-step explanation:

-6x + 7y = 9 -- (1)

2x - 2y = 4 -- (2)

(2) x 3 : 6x - 6y = 12 -- (2)'

(1) + (2)' : y = 21 -- (3)

Subtituting (3) into (2),

2x - 42 = 4

2x = 46

x = 23 -- (4)

According (3) and (4),

x = 23 , y = 21

If this helps you, please give brainliest!

Answer:

I can't see the small numbers.post it again

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

Because x-3 must be greater or equal zero and x must be not equal -2

Answer:

FGAC ‎20 ‎JH ‎Н

Step-by-step explanation:

FGAC ‎20 ‎JH ‎Н

Answer:

f translates right 2 units to get g. sorry about my English

Answer:

6

Step-by-step explanation:

answer is in photo above

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The right part of the function is a line and its equation must be linear (the exponent of the x must be 1)

The lines start at x = 1. We can say that because there is a black dot

the x of the second function keep decreasing

Thanks to these informations we can say that the answer is D

Answer:

x = 20

Step-by-step explanation:

Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent

∠ CBD = ∠ BCD = 40° , then

∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle

Sum the 3 angles of Δ ACD and equate to 180

20 + 100 + x + 40 = 180

160 + x = 180 ( subtract 160 from both sides )

x = 20

Answer:

Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)

Now, we know

Perimeter(p)=2(length+width)

40= 2(x+5+x)

40=2(2x+ 5)

40/2=2x+5

20=2x+5

20–5=2x

15/2=x

x=7.5

Now,

length=x+5=7.5+5=12.5cm

width=x=7.5cm

Therefore length is 12.5cm and width is 7.5cm.

Answer:

So whats the question?

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

=  {2,4,6,8,10,12,14} U (  {3,6,9,12,15} n  {3,6,9,12,15} )

=  {2,4,6,8,10,12,14} U {3,6,9,12,15}

=  {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B)  =  ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

=  {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

=  {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

(c) Verify AU(BUC)=(AUB)U(AUC)​

AU(BUC)

=  {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)​

=  ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)​

verifies

Answer:

[tex]\frac{1}{5\/}[/tex](4+m)

Step-by-step explanation:

[tex]\frac{1}{5\/}[/tex](4+m)

Hope this helps!

Answer:

ans: D

Step-by-step explanation:

suppose

y = 3x +1 be equation••••••1

and

y = -2x - 4

-y= 2x + 4 be equation ••••••2

add equation 1 and 2 as

y = 3x + 1

-y = 2x + 4

0 = 5x + 5

so ,

5x = - 5

x = - 1

put x In either equation 1 or 2 to get y= - 2

OR,

since given equation intersects each other ,

use substitution method ,

Answer:

D

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (- 1, - 2 ) ← solution → D

Answer:

ok so we know 7/8 of them are rock songs and of those songs 5/8 are solos so if we multiple this we get 35/64

Answer:

move the circle around that's how you co-ordinate

Step-by-step explanation:

Mrs. Malik ( my maths teacher ) helped me

Answer:

(x + 3)^2 + (y + 5)^2 = 4^2

Step-by-step explanation:

equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(h,k) is the center and r is the radius

the center of this circle is (-3, -5) and the radius is 4

plug the numbers in

(x + 3)^2 + (y + 5)^2 = 4^2

hope this is good, havent done this unit in a while

Answer:

is there a pic to go along? i need more to this..

Answer:

hey, i think it's the first alternative

Step-by-step explanation: