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3 years ago

F(x) = -2x + 14 g(x) = 2x2 - 6x - 2

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

Y-intercept (7,0) x-intercept (0,14) = f(x)= -2x+14

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trapecia [35]

Answer:

The measure of angle DPA is 39°

Step-by-step explanation:

step 1

Find the value of x we know that arc AB+arc BC+arc CD+arc DA=360°

substitute the values

(5x+10)°+(x+1)°+3x°+(3x+25)°=360°

Solve for x

(12x+36)°=360°

12x=360°-36°

x=324°/12=27°

step 2 Find the measure of angle DPA

we know that The measurement of the external angle is the semi-difference of the arcs which comprises

m∠DPA=(1/2)[arc DA-arc BC]

arc DA=3(27)+25=106°

arc BC=27+1=28°

substitute the values

m∠DPA=(1/2)[106°-28°]=39°

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3 years ago

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An outglier is a data item which is much bigger/smaller than other data items.

The data item arranged is 0.7, 3.1, 4.3, 5.2, 5.3, 5.4, 5.6, 5.8
From the data 0.7 is much smaller than other data items.

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If your favorite drones original price was $1,400, what would the price be if it were 73% off?

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The drone would be would be $378

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Van guessed on all 8 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he go

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3 years ago

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

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3 years ago