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3 years ago

9

What are the x-intercepts of the circle (x – 3)2 + (y – 4)2 = 24?

2 answers:

Kisachek [45]3 years ago

7 0

X-intercept ⇒ When y = 0

(x – 3)² + (y – 4)²<span> = 24

When y = 0,
</span>(x – 3)² + (0 – 4)² = 24

(x – 3)² + 16 = 24

(x – 3)² = 8

(x - 3) = ±√8

x = √8 + 3 or x = -√8 + 3

x = (3 + 2√2) or (3- 2√2) [Radical Form]

x = 5.83 or 0.17 [Decimal Form]

Answer: (5.83, 0) and (0.17, 0)

borishaifa [10]3 years ago

5 0

(x-3)2+(y-4)2=24
2x-6+2y=24
2x-14+2y=24
2x=24+14-2y
2x=38-2y
x=19-y

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The birth rate of a population is b(t) = 2300e0.024t people per year and the death rate is d(t)= 1450e0.019t people per year, fi

Shalnov [3]

Answer:

Area = 10025.66 square units

Step-by-step explanation:

We are given the following in the question:

The birth rate of a population:

$b(t) = 2300e^{0.024t}$

The death rate of a population:

$d(t)= 1450e^{0.019t}$

The area between the curve for 0 ≤ t ≤ 10, is given by:

$\displaystyle\int_0^{10}b(t) - d(t)~ dt\\\\\displaystyle\int_0^{10} 2300e^{0.024t}-1450e^{0.019t}~dt\\\\= \Bigg[\frac{2300e^{0.024t}}{0.024}\Bigg]_0^{10}-\Bigg[\frac{1450e^{0.019t}}{0.019}\Bigg]_0^{10}\\\\= \Bigg[\frac{2300e^{0.24}}{0.024}-\frac{1450e^{0.19}}{0.019}\Bigg]-\Bigg[\frac{2300}{0.024}-\frac{1450}{0.019}\Bigg]\\\\= 29543.2058565 - 19517.5438596 \approx 10025.6$

4 0

3 years ago

A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc

seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

so

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

$t=\frac{d}{s}$

we have

$d=963\ mi$

$s=60\ mi/h$

substitute

$t=\frac{963}{60}=16.05\ hours$

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

$30\ minutes=0.50\ hours$

$16.05+0.50=16.55\ hours$

Convert to minutes

$16.55\ h=16.55(60)\ min=993\ min$

step 3

Remember that

$8 p.m=20:00\ hrs$

Convert to minutes

$20(60)=1,200\ min$

Subtract 993 minutes from 1,200 minutes

$1,200-993=207\ min$

Convert to hours+minutes

$207\ min=207/60=3.45\ hours$

$0.45\ h=0.45(60)=27\ min$

so

$3\ h+27\ min$

$00:00 + 03:27=03:27\ am$

therefore

The train need to leave Portland at 03:27 am

8 0

3 years ago

How to make my answer for 0.70 a fraction

miss Akunina [59]

Answer:

0.70 = 7/10

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A car completes a journey in 10 minutes. For the first half of the distance the speed was 60km/h and for the second half the spe

spin [16.1K]

100km long thats how long the journey was

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3 years ago

Please help me idk this

GarryVolchara [31]

Answer:

<h2>h = 18 cm</h2>

Step-by-step explanation:

$A=\dfrac{bh}{2}\\\\A=117\ cm^2\\b=13\ cm$

Substitute:

$117=\dfrac{13h}{2}$ <em>multiply both sides by 2</em>

$234=13h$ <em>divide both sides by 13</em>

$18=h\to h=18\ cm$

6 0

3 years ago