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3 years ago

At what point in the first quadrant does the line with the equation y=x+2 intersect the circle with radius 6 and center (0,2)

Mathematics

1 answer:

Kay [80]3 years ago

7 0

Answer:

Vud

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

What is the slope intercept form for the equation of the line provided?

denis-greek [22]

1. The slope intercept form is:

$y=mx+b$

Where $m$ is the slope of the line and $b$ is the intercept with the y-axis.

2. To calculate the slope, you can use the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Where:

$y_2=-1\\y_1=\frac{15}{2}\\x_2=\frac{1}{8}\\x_1=-2$

3. So:

$m=\frac{-1-(\frac{15}{2})}{\frac{1}{8}-(-2)}=-4$

4. Now you must find $b$ . Substitute any of the given points into the equation and solve for $b$ :

$\frac{15}{2}=-4(-2)+b\\\frac{15}{2}=8+b\\b=-\frac{1}{2}$

5. Therefore, the answer is the last option:

$y=-4x-\frac{1}{2}$

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3 years ago

Http://prntscr.com/irtaxh<br> need help with this question

galben [10]

P will be the transversal if ∠10 and ∠14 are alternate interior.<span />

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4 years ago

A football team plays in a large stadium. With a ticket price of $19, the average attendance at recent games has been 50 comma

tino4ka555 [31]

Answer:

Part 1: N(x) = 50,000 - 300(x-19)

Part 2: R(x) =-300x² + 55700x

Step-by-step explanation:

Given,

The original price of each ticket = $ 19,

The original attendance = 50,000

Part 1 :

∵ For the each $1 increase in the ticket price, attendance decreases by 300.

Let x represents the price of each ticket after increment,

Thus, if price increment = (x-19) dollars,

New attendance, N(x) = 50,000 - 300(x-19)

Part 2 :

Since, revenue = price of each ticket × attendance

Thus, the revenue from the football game,

R(x) = x(50,000 - 300(x-19))

R(x) = 50000x - 300x²+ 5700x

⇒ R(x) =-300x² + 55700x

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4 years ago