Name two red lines in the diagram that appear to be perpendicular

7. Are the ordered pairs below an arithmetic sequence or geometric

DochEvi [55]

Answer:

8. Arithmetic Progression

9. $f(9) = 300$

Step-by-step explanation:

Given

$\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}$

Solving (8): Arithmetic or Geometric

We start by checking if it is arithmetic by checking for common difference (d).

$d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3$

This gives:

$d = 45 - 55 = 35 - 45 = 25 - 35$

$d = -10 = -10 = -10$

$d=-10$

<em>Because the common difference is equal, then it is an arithmetic progression</em>

Solving (8):

$f(n) = f(1) + f(n-1)$

To find f(9), we substitute 9 for n

$f(9) = f(1) + f(9-1)$

$f(9) = f(1) + f(8)$

We need to solve for f(8); substitute 8 for n

$f(8) = f(1) + f(8 - 1)$

$f(8) = f(1) + f(7)$

We need to solve for f(7); substitute 7 for n

$f(7) = f(1) + f(7 - 1)$

$f(7) = f(1) + f(6)$

We need to solve for f(6); substitute 6 for n

$f(6) = f(1) + f(6 - 1)$

$f(6) = f(1) + f(5)$

We need to solve for f(5); substitute 6 for n

$f(5) = f(1) + f(5 - 1)$

$f(5) = f(1) + f(4)$

From the function, f(4) = 25 and f(1) = 55.

So:

$f(5)=55 + 25$

$f(5)=80$

$f(6) = f(1) + f(5)$

$f(6) = 55 + 80$

$f(6) = 135$

$f(7) = f(1) + f(6)$

$f(7) = 55 + 135$

$f(7) = 190$

$f(8) = f(1) + f(7)$

$f(8) = 55 + 190$

$f(8) = 245$

$f(9) = f(1) + f(8)$

$f(9) = 55 + 245$

$f(9) = 300$

8 0

3 years ago

The curve y = |x|/(sqrt(5- x^2)) is called a bullet-nose curve. Find an equation of the tangent line to this curve at the point

iren [92.7K]

Absolute value
at x=2, the absolute value thing is positive
do this one
$y=x \sqrt{5-x^2}$
the derivitive is
$\frac{dy}{dx}=\sqrt{5-x^2}- \frac{x^2}{ \sqrt{5-x^2} }$
so the slope at x=2 is
$\frac{dy}{dx}=\sqrt{5-2^2}- \frac{2^2}{ \sqrt{5-2^2} }$ =-3

a point is (2,2)
point slope form
y-y1=m(x-x1)
y-2=-3(x-2)
or
y=-3x+8
das is de equation

3 0

3 years ago

The stockroom has eight boxes of no. 10 hex head cap screws. how many screws of this type are in stock if the boxes contain , ,

Bezzdna [24]

The number of screws of this type in stock is 80

<h3>How to determine the number of screws of this type are in stock?</h3>

The given parameters are:

Boxes = 8

Hex head cap screws = 10

The number of screws of this type are in stock is

Count = Boxes * Hex head cap screws

Substitute the known values in the above equation

Count = 8 * 10

Evaluate the product

Count = 80

Hence, the number of screws of this type in stock is 80

Read more about products at:

brainly.com/question/10873737

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7 0

2 years ago

What is the formula for finding the circumference for a circle with just the radius?

EastWind [94]

Answer: The formula is C=2 π r

Step-by-step explanation: Hope this helps

5 0

3 years ago

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form.

irakobra [83]

The given polynomial is f(x) = x² - 2x - 6

Rewrite the function by completing the square.
f(x) = [x² - 2x] - 6
= [(x-1)² - 1] - 6
= (x-1)² - 7

In vertex form,
f(x) = (x-1)² - 7

The vertex is located at (1, -7).
Because the leading coefficient is +1, the curve opens upward.

Answer: f(x) = (x - 1)² - 7

8 0

3 years ago