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4 years ago

To the nearest hundredth, what is the length of

Mathematics

2 answers:

kvv77 [185]4 years ago

8 0

I took the test. Here's the right answer

Sergeu [11.5K]4 years ago

7 0

Answer: The correct option is (B) 10.44.

Step-by-step explanation: We are given a graph that has a point A at (1, -1) and a point B at (-9, -4).

We are to find the length of the line segment AB to the nearest hundredth.

The length of the line segment AB is given by the distance between the end-points A and B.

<u><em>DISTANCE FORMULA:</em></u> The distance between two points with co-ordinates (a, b) and (c, d) is given by

$D=\sqrt{(c-a)^2+(d-b)^2}.$

Therefore, the distance between the points A(1, -1) and B(-9, -4) is

$AB\\\\=\sqrt{(-9-1)^2+(-4-(-1))^2}\\\\=\sqrt{100+9}\\\\=\sqrt{109}\\\\=10.44~\textup{units}.$

Thus, the length of the line segment AB is 10.44 units.

Option (B) is CORRECT.

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Find two complex numbers that have a sum of i10 a different of -4and a product of -29

lianna [129]

Step-by-step explanation:

Let the complex numbers be $a+ib\textrm{ and }c+id$ .

Given, sum is $10i$ , difference is $-4$ and product is $-29$ .

$(a+c)+i(b+d)=10i$ ⇒ $a+c=0,b+d=10$

$(a-c)+i(b-d)=-4$ ⇒ $a-c=-4,b-d=0$

$a=-2,c=2,b=5,d=5$

$(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29$

Hence, all three equations are consistent yielding the complex numbers $-2+5i\textrm{ and }2+5i$ .

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3 years ago

The population of a city (in millions) at time t (in years) is P(t)=2.6 e 0.005t , where t=0 is the year 2000. When will the pop

lora16 [44]

Answer:

year 2139

Step-by-step explanation:

The population will double when the factor e^(.005t) is 2.

e^(.005t) = 2

.005t = ln(2)

t = ln(2)/0.005 = 138.6

The population will be double its size at t=0 when t=138.6. That is the population will be about 5.2 million in the year 2139.

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3 years ago

A rectangle has an area of 900square inches. The length of the rectangle is 2.25 times the width.Find the dimensions

Alexeev081 [22]

Answer:

Length = 45 inches and Width = 20 inches

Step-by-step explanation:

Let the width be w.

Length(l)=2.25w

Area = 900 in^2

The formula for the area of a rectangle is Area = length * width

So substituting our values we get:

$A=2.25w*w\\900=2.25w*w\\2.25w^2=900\\w^2=\frac{900}{2.25} \\w^2=400\\w=\sqrt{400} \\w=20$

So we get width = 20 inches

Length = 2.25w

so Length= 2.25*20

=45 inches

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3 years ago

Round 3,942,588 to the nearest thousand.

Alinara [238K]

3,943,000 you answer

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3 years ago

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goblinko [34]

Answer:

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 3.

Horizontal Asymptote: y = 3

Step-by-step explanation:

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3 years ago