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-Dominant- [34]

3 years ago

9

Bramble university sells 3,500 season basketball tickets at $80 each for its 10-game home schedule. give the entry to record the

revenue recognized after playing the first home game.

1 answer:

kykrilka [37]3 years ago

7 0

<span>CASH $280,000 UR 280,000 UR ticket revenue 28,000 Ticket revenue 28,000</span>

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∆ABC has vertices A(–2, 0), B(0, 8), and C(4, 2)

Natali [406]

Answer:

Part 1) The equation of the perpendicular bisector side AB is $y=-\frac{1}{4}x+\frac{15}{4}$

Part 2) The equation of the perpendicular bisector side BC is $y=\frac{2}{3}x+\frac{11}{3}$

Part 3) The equation of the perpendicular bisector side AC is $y=-3x+4$

Part 4) The coordinates of the point P(0.091,3.727)

Step-by-step explanation:

Part 1) Find the equation of the perpendicular bisector side AB

we have

A(–2, 0), B(0, 8)

<em>step 1</em>

Find the slope AB

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{8-0}{0+2}$

$m=4$

<em>step 2</em>

Find the slope of the perpendicular line to side AB

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

$m=-\frac{1}{4}$

<em>step 3</em>

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M(\frac{-2+0}{2},\frac{0+8}{2})$

$M(-1,4)$

<em>step 4</em>

Find the equation of the perpendicular bisectors of AB

the slope is $m=-\frac{1}{4}$

passes through the point $(-1,4)$

The equation in slope intercept form is equal to

$y=mx+b$

substitute

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

solve for b

$b=4-\frac{1}{4}$

$b=\frac{15}{4}$

so

$y=-\frac{1}{4}x+\frac{15}{4}$

Part 2) Find the equation of the perpendicular bisector side BC

we have

B(0, 8) and C(4, 2)

<em>step 1</em>

Find the slope BC

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{2-8}{4-0}$

$m=-\frac{3}{2}$

<em>step 2</em>

Find the slope of the perpendicular line to side BC

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

$m=\frac{2}{3}$

<em>step 3</em>

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M(\frac{0+4}{2},\frac{8+2}{2})$

$M(2,5)$

<em>step 4</em>

Find the equation of the perpendicular bisectors of BC

the slope is $m=\frac{2}{3}$

passes through the point $(2,5)$

The equation in slope intercept form is equal to

$y=mx+b$

substitute

$5=(\frac{2}{3})(2)+b$

solve for b

$b=5-\frac{4}{3}$

$b=\frac{11}{3}$

so

$y=\frac{2}{3}x+\frac{11}{3}$

Part 3) Find the equation of the perpendicular bisector side AC

we have

A(–2, 0) and C(4, 2)

<em>step 1</em>

Find the slope AC

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{2-0}{4+2}$

$m=\frac{1}{3}$

<em>step 2</em>

Find the slope of the perpendicular line to side AC

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

therefore

The slope is equal to

$m=-3$

<em>step 3</em>

Find the midpoint AC

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M(\frac{-2+4}{2},\frac{0+2}{2})$

$M(1,1)$

<em>step 4</em>

Find the equation of the perpendicular bisectors of AC

the slope is $m=-3$

passes through the point $(1,1)$

The equation in slope intercept form is equal to

$y=mx+b$

substitute

$1=(-3)(1)+b$

solve for b

$b=1+3$

$b=4$

so

$y=-3x+4$

Part 4) Find the coordinates of the point of concurrency of the perpendicular bisectors (P)

we know that

The point of concurrency of the perpendicular bisectors is called the circumcenter.

Solve by graphing

using a graphing tool

the point of concurrency of the perpendicular bisectors is P(0.091,3.727)

see the attached figure

5 0

3 years ago

Andre brought a new bag of cat food. The next day, he opened it to feed his cat. The graph shows how many ounces were left in th

GalinKa [24]

39 days so you would put 39 days till the bag was empty

5 0

3 years ago

Driver's Delight is considering building a new track. They have a circular space

aleksandr82 [10.1K]

Answer:

<h3>The answer is 471 feet</h3>

Step-by-step explanation:

Since the the track is circular

Circumference of a circle = πd

where

d is the diameter

π = 3.14

From the question

diameter = 150 feet

Circumference = 150π

= 150(3.14)

We have the final answer as

<h3>Circumference = 471 feet</h3>

Hope this helps you

6 0

3 years ago

Read 2 more answers

Which function will have a y-intercept at –1 and an amplitude of 2?

Angelina_Jolie [31]

Answer:

Options B and D.

Step-by-step explanation:

The general form of sine function

$h(x)=A\sin (Bx+C)+D$

where, |A| is amplitude, $\frac{2\pi}{B}$ is period, $\frac{-C}{B}$ is phase shift and D is y-intercept.

The general form of cosine function

$h(x)=A\cos (Bx+C)+D$

where, |A| is amplitude, $\frac{2\pi}{B}$ is period, $\frac{-C}{B}$ is phase shift and D is y-intercept.

In function, $f(x)=-\sin x-1$

Amplitude : $|A|=1$

y-intercept : -1

In function, $f(x)=-2\sin x-1$

Amplitude : $|A|=2$

y-intercept : -1

In function, $f(x)=-\cos x$

Amplitude : $|A|=1$

y-intercept : 0

In function, $f(x)=-2\cos x-1$

Amplitude : $|A|=2$

y-intercept : -1

Therefore, the correct options are B and D.

4 0

4 years ago

Read 2 more answers

***TOP SAYS BAND AND PLAY INSTRUMENT AND NOT IN BAND AND PLAY INSTRUMENT***** A survey asked 50 students if they play an instrum

Stels [109]

I am pretty sure the answer is B

5 0

3 years ago