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3 years ago

Which expression can be used to determine the length of segment AB?

Mathematics

1 answer:

Studentka2010 [4]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Calculate the length using the distance formula

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(4,3) and (x₂, y₂ ) = B(- 2, 1)

AB = $\sqrt{(-2-4)^2+(1-3)^2}$

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

= $\sqrt{36+4}$

= $\sqrt{40}$

= $\sqrt{4(10)}$ = $\sqrt{4}$ × $\sqrt{10}$ = 2 $\sqrt{10}$ ← exact length

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Can anyone help me?

goldfiish [28.3K]

Given:

A right angle triangle ABC, right angled at C.

To find:

The measure of θ.

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Opposite}{Adjacent}$

In triangle ABC,

$\tan \theta=\dfrac{AC}{BC}$

$\tan \theta=\dfrac{2.7}{5}$

$\tan \theta=0.54$

It can be written as

$\theta=\tan^{-1}0.54$

$\theta\approx 28.369$

Therefore, the measure of θ is 28.369.

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3 years ago

At 2:00 PM the temperature is 18°F. At 10:00 PM the temperature is -9°F.

Diano4ka-milaya [45]

Answer:

To figure out the change, we subtract the original temperature by the following after temperature.

18°F - original

-9°F - subsequent time after original

So we set up the equation;

18°F - (-9°F)

(Two negatives combine to form a positive)

18°F + 9°F

= <u>27°F</u> was the change in temperature.

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3 years ago

Nth term fo 3,11,25,45

alexandr1967 [171]

I think the answer may be 291

7 0

3 years ago

Read 2 more answers

Graph the system of

9966 [12]

Answer:

(-0.2, 2.8)

General Formulas and Concepts:

<u>Algebra I</u>

Reading a Cartesian plane
Coordinates (x, y)
Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations.

6 0

3 years ago

The zeros for f(x)=x^4-4x^3-9x^2+36x are

Mrrafil [7]

X^4 - 4x^3 - 9x^2 + 36x = 0
x(x^3 - 4x^2 - 9x + 36) = 0
x(x^2(x - 4) - 9(x - 4) = 0
x(x + 3)(x - 3)(x - 4) = 0

the zeroes are -3, 0, 3, 4 Answer

3 0

3 years ago