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schepotkina [342]
3 years ago
14

Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f ( r ) represents

the area of a circle (in square cm) that has a radius of r cm.Use function notation to complete the following tasks
a. Represent the area (in square cm) of a circle whose radius is 4 cm.
b. Represent how much the area (in square cm) of a circle increases by when its radius increases from 10.9 to 10.91 cm.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0

Answer:

(a)f(4) square cm.

(b)f(10.91)-f(10.9) Square centimeter.

Step-by-step explanation:

f(r)=the area of a circle (in square cm) that has a radius of r cm.

(a)Area (in square cm) of a circle whose radius is 4 cm.

Since r=4cm

Area of the circle = f(4) square cm.

(b) When the radius of the increases from 10.9 to 10.91 cm.

  • Area of the circle with a radius of 10.91 = f(10.91) square cm.
  • Area of the circle with a radius of 10.9 = f(10.9) square cm.

Change in the Area = f(10.91)-f(10.9) Square centimeter.

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andrew11 [14]

Answer:

Which do you need help with?

1. -6 is 4 units from -2 in the negative direction.

2. A. and D

Step-by-step explanation:

When adding negative numbers the negative will be more, but if you are adding positive and negative numbers, whichever sign (+ or -) has the bigger number then that is the sign of the answer.

Additive inverses are when two numbers are added together to equal zero. Therefore if you have -3+3, it would be an additive inverse.

Hope this helps.

5 0
3 years ago
Which composition of transformations maps figure EFGH to figure E"F"G"H"?
Lady bird [3.3K]

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Further explanation:

Given:

The compositions of transformations from EFGH to {\text{E''F''G''H''}} are as follows,

(a). A reflection across line k followed by a translation down.

(b). A translation down followed by a reflection across line k.

(c). A {180^ \circ } rotation about point G followed by a translation to the right.

(d). A translation to the right followed by a {180^ \circ } rotation about point G.

Explanation:

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The transformations would map EFGH to {\text{E''F''G''H''}} is a reflection across line k followed by a translation down. Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: rotation, transformation, map, EFGH, composition, translation, triangle, rotation about point A, mapped, triangle pair, mapping, equal angles, sides, congruent, two triangles, common point.

4 0
3 years ago
Read 2 more answers
What is three and seven hundredths standard form
Valentin [98]

Answer: I believe the answer is 3.07 but I may be wrong so if you want you can wait for another answer :D

Step-by-step explanation:

4 0
3 years ago
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X+y=3 x=6-4y using substitution
kenny6666 [7]

Givens

x + y = 3

x =6 - 4y

Solution

Use the top equation to substitute for x in the second equation.

x = 3 - y

Put this result into the second given equation and solve for y

3 - y = 6 - 4y        Add 4y to both sides.

3 - y + 4y = 6       Combine on the left

3 + 3y = 6            Subtract 3 from both sides

3 - 3 + 3y = 6 - 3  Combine

3y = 3                   Divide by 3

3y/3 = 3/3             Combine

y = 1                      

=========================

x + y = 3               but y = 1

x + 1 = 3                Subtract 1 from both sides.

x + 1 - 1 =3 - 1

x = 2

Answer

x = 2

y = 1

4 0
3 years ago
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Write an exponential model given the two points ​(​6,130​) and ​(7​,220​).
Katyanochek1 [597]

Answer:

<u>y=90x−410</u>

Step-by-step explanation:

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y−130=90⋅(x−6)<-----

If you convert this to slope-intercept form this would be...

y=90x−410

5 0
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