On a coordinate plane, what are the center and radius of the circle represented by

What is the equation for a line parallel to y=-4x-9 that passes through the point 0,8

Afina-wow [57]

Parallel = same slope
Y = -4x + b
(0,8) y intercept; plug in
Solution: y = -4x + 8

8 0

2 years ago

How does the diagram show that the slope between any

tensa zangetsu [6.8K]

The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.

Option D is correct.

<h3>What is the slope of a graph?</h3>

The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).

$\mathbf{slope = \dfrac{rise}{run}}$

$\mathbf{slope = \dfrac{\Delta y}{\Delta x}}$

$\mathbf{slope = \dfrac{ y_2-y_1}{x_2-x_1}}$

From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.

Learn more about the slope of a graph here:

brainly.com/question/19376563

#SPJ1

4 0

1 year ago

D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.

Talja [164]

Answer:

a = 1 and b = 2

Step-by-step explanation:

Using the Quotient Rule>

d/dx[(sin x)/(2+cos x) ]

= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2

= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2

But cos^2x + sin^2x = 1 so we have:

(1 + 2 cos x) / (2 + cos x)^2

- so a = 1 and b = 2.

7 0

2 years ago

A company makes a profit of $7 per software program and $8 per video game. The company can produce at most 90 software programs

g100num [7]

Answer:

930 dollars

Step-by-step explanation:

Let software programs = S

Video game = V

Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.

How many items of each kind should be produced per week in order to maximize the profit?

The to get profit P

P = 7S + 8V

Since the profit on video game is higher, we will give maximum production to video game. Therefore,

P = (30 × 7) + ( 8 × 90)

P = 210 + 720

P = 930 dollars

6 0

3 years ago

A tennis ball is 2 inch in diameter. How many tennis ball will fill a room of 20ft by 16ft by 18ft if no space wasted?

krek1111 [17]

The number of tennis ball that will fill the room is 1,371 tennis balls.