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3 years ago

Find the length of segment CD with points C(2,2) and D (-1,8)

Mathematics

1 answer:

kumpel [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(2, 2) and (x₂, y₂ ) = D(- 1, 8)

CD = $\sqrt{(-1-2)^2+(8-2)^2}$

= $\sqrt{(-3)^2+6^2}$

= $\sqrt{9+36}$ = $\sqrt{45}$ ≈ 6.7 → D

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What’s the correct answer for this question?

g100num [7]

Answer:

Step-by-step explanation:

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3 years ago

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3 years ago

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What property would you use first to solve 1/2x-6=10

NISA [10]

I don't know what you mean by property. Do you mean like, commutative, distributive, etc?

but, if this is what you mean:

to solve this:

The operation here is subtraction. Do the inverse. So, add 6 to both sides of the equation

10 + 6 = 16

1/2x - 6 + 6 = 1/2x. (the 6 cancels out)

1/2x = 16

Now, I'm going to assume 1/2 is supposed to be a fraction (not division). So, 1/2 is right next to x which represents multiplication, so do the opposite which is division.

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3 years ago

An object with initial temperature 120° F is submerged in large tank of water whose temperature is

nikitadnepr [17]

Answer:

$F(t)=Ts+(T0-Ts)^{e-0.2t$

Step-by-step explanation:

<u>Newton's law of cooling states </u>

"<em>that the temperature of a body changes at a rate proportional to the difference in temperature between the body and its surroundings"</em>

Newton's Law of Cooling is given by the formula

$F(t)=Ts+(T0-Ts)^{e-kt$

Where

F( t ) is the temperature of the object at a given time t

T s is the surrounding temperature

T 0 is the initial temperature of the object

k is the constant

Given k=0.2

Hence the expression is

$F(t)=Ts+(T0-Ts)^{e-0.2t$

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3 years ago

If the diagonal of a square is 12√2 cm . Find its area

Troyanec [42]

Answer:

A = 144 cm²

Step-by-step explanation:

Let the side of the square be x. Using Pythagoras theorem for square,

$x^2+x^2=(12\sqrt2)^2\\\\2x^2=288\\\\x=12\ cm$

The area of the square is given by :

A = side²

Put values in the formula.

A = 12²

A = 144 cm²

So, the area of the square is equal 144 cm².

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2 years ago