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Viktor [21]
3 years ago
6

What's the result of translating the point (9, –5) using the rule (x, y) → (x + 7, y – 2)?

Mathematics
1 answer:
Elan Coil [88]3 years ago
7 0

Answer:

B

Step-by-step explanation:

X = 9 + 7 = 16

Y = (-5) - 2 = -7

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if the two linear functions are represented two different forms the _____ is used to compare the steepness of the two functions&
ELEN [110]

Answer:

Slope

Step-by-step explanation:

Given

The above statement

Required

What compares the steep of linear functions

Literally, steepness means slope.

So, when the slope of the two linear functions are calculated, we can make comparison between the calculated slopes to determine which of the functions is steeper or less steep.

Also:

Higher slope means steeper line

e.g.

4 is steeper than 1

7 0
2 years ago
The length of a rectangle is four times its width. If the perimeter of the rectangle is 90 cm, find its area
Sunny_sXe [5.5K]

Answer:

324

Step-by-step explanation:

L = 4W

P = 2L + 2W = 90

---

2L + 2W = 90

2(4W) + 2W = 90

8W + 2W = 90

10W = 90

---

W = 9

L = 36

---

 

A = 324

---

7 0
3 years ago
At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8
Rama09 [41]

Answer:

a) dy/dx = 4/(2y+1)^2.

(b) y = 4/9 x - 14/9

(c) d2y/dx2 = -64/243

Step-by-step explanation:

You have the following equation

  (1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

   (3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(c) To find d2y/dx2 you derivative the result obtain in the equation (2):

    (4)

the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

3 0
3 years ago
If two cylinders have the same radius, but one has a height two times larger
sweet [91]

The volume of the large cylinder will be twice the volume of the small cylinder.

<u>Step-by-step explanation:</u>

Let the radius of the cylinder be 'r'

Let the height of the cylinder be'h'

Volume of the small cylinder=π r² h

Volume of the large cylinder= π r² (2h)

Volume of large cylinder/volume of small cylinder= 2/1

The large cylinder volume is twice the volume of the small cylinder.

5 0
3 years ago
Express 50 billion in scientific notation
DaniilM [7]

The answer to this is  50 x 10 the 9th power.

Hope this helps :)

3 0
3 years ago
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