If f(x) =1/9x-2 what is f^1(x)

Two angles of a triangle measure 45 degrees and 90 degrees. What is the third angle measure?

neonofarm [45]

Answer:

B

Step-by-step explanation:

Angles in a triangle add up to 180

Take 45 + 90 then subtract the answer from 180

6 0

2 years ago

Emily is picking strawberries at a speed of 3 strawberries per second. Her little sister Sophia joins Emily when there are 20 st

Zina [86]

Answer:

6 seconds

Step-by-step explanation:

Using the information from the problem, if Emily continues to pick 3 strawberries per second while Sophia eats 5 strawberries per second, then the amount of strawberries will decrease at a rate of 2 strawberries per second. Therefore, we can find the answer by subtracting 2 from 20 until we get to 8. Since we subtract 2 six times, the answer is 6. Hope this makes sense!

6 0

3 years ago

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Geometry problem help! Please refer to the image below...

Vinil7 [7]

Answer:

A. 1/3

B. √10

C. -1, 1

D. √8, 6

E. congruent and opposite pairs parallel

F. perpendicular, not congruent

G. rhombus, explanation below

Step-by-step explanation:

Hey there! I'm happy to help!

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A.

Slope is the rise over the run. Let's look at F to G.

We are going from -1 to 2 on our x-axis (run), so our run is 3 units.

Our rise is 1 unit as we go from 2 to 3 on the y-axis.

$slope=\frac{rise}{run} =\frac{1}{3}$

This slope is the same for all of the sides.

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B.

We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}$

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C.

The diagonals are the lines that connect the non-adjacent vertices.

Our two diagonals are FH and GE.

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FH

We go from x-value -1 to 1 from F to H, so our run is 2.

We go from y-value 2 to 0. so our rise is -2.

$slope=\frac{rise}{run} =-\frac{2}{2} =-1$

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GE

We go from x-value -2 to 2 from E to G, so our run is 4.

We go from y-value -1 to 3. so our rise is 4.

$slope=\frac{rise}{run} =\frac{4}{4} =1$

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D.

Let's use the distance formula on each of our diagonals.

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FH

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}$

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GE

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6$

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E.

They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)

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F.

They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).

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G.

Parallelogram- quadrilateral with opposite pairs of parallel sides.

Rhombus- a parallelogram with four equal sides

Square- a rhombus with four right angles

We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.

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Have a wonderful day and keep on learning!

8 0

2 years ago

You have an allowance to spend on lunch this week. You will spend the same amount each day,and you get to keep whatever is left

Naily [24]

Answer:

The total allowance is $18.5, and the amount spent daily is $3.2

Step-by-step explanation:

let T and x represent the total allowance and the amount spent daily respectively.

It was started that the amount remaining after 2 days is $12.10 , which implies the person has spend an equal amount for 2 days

T - 2x =12.10 (equation 1)

It was started that the amount remaining after 5 days is $2.50 , which also implies the person has spend an equal amount for 5 days

T - 5x =2.5 (equation 2)

subtract equation 2 from 1

T - 2x -( T - 5x ) = 12.10 -2.5

T - 2x -T + 5x = 9.6

3x =9.6

Divide both side by 3

x = 9.6/3 =3.2

from equation 1

T - 2x =12.10

T = 12.10 + 2x = 12.10 + 2*3.2

= 12.10 + 6.4 = 18.5

5 0

3 years ago

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What does x equal to

hodyreva [135]

Answer:

i got 16.25=2

Step-by-step explanation:

3 0

3 years ago

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