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3 years ago

Find the length of segment AB.

Mathematics

2 answers:

12345 [234]3 years ago

8 0

The answer is D.
explain:
A^2 + b^2 = c^2

Amanda [17]3 years ago

7 0

Answer:

Step-by-step explanation:

To calculate the distance d use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(3, 1) and (x₂, y₂ ) = B(5, 3)

AB = $\sqrt{(5-3)^2+(3-1)^2}$

= $\sqrt{2^2+2^2}$

= $\sqrt{4+4}$

= $\sqrt{8}$ = $\sqrt{4(2)}$ = 2 $\sqrt{2}$ → A

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3 years ago

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Kryger [21]

Answer:

$x^3-8$

Step-by-step explanation:

apply the inverse properties of logarithmic and exponential functions to simplify

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we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled

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4 0

3 years ago

Deisha can build a fence in 15 hours, and Travis can build a fence in 12 hours. How long will it take them together to build a f

Basile [38]

Answer:

6 $\frac{2}{3}$

Step-by-step explanation:

Deisha's build rate = 1 fence per 15 hours = 1/15 fences per hour

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Working together, their combined rate is 1/15 + 1/12 = 3/20 fences per hour

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6 0

3 years ago

Which description is correct for the x-intercept(s) of Function A and Function B?

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Generally,

A straight line equation is given as

y = mx + c

Where,

m is the slope or gradient of the line

c is the intercept of y axis, when x = 0

Now,

Given the function A

g(x) = 0 7 0 2 -2

x = -2 3. 5 -1 0

So, we said the intercept c is when x = 0,

Therefore, in this case when x=0, g(x) = -2

Then, the intercept is -2 on y axis

Then, it has only one intercept, which is -2 on y-axis

To get the intercept on x axis, we will set y to zero,

In this case,

g(x) = 0, then, we have the intercept on x-axis to be -2 and 5

So it has 2-intercept on x axis, one positive and one negative

Given the function B

F(x) = |x| - 3

Comparing this to equation of a line, y= mx + c,

Then we notice that, the intercept is -3

Then, it has only one intercept which is -3 on y axis.

Now, to get the intercept on x axis, we will set f(x) = 0

F(x) = |x| - 3

0 = |x| - 3

Then, |x| = 3

Then, x = 3 or -x =3

Note that, |x| means x and -x

Then, x = 3 or x = -3

So it has also two intercept on the x axis, one positive and one negative.

Then, the third option is the correct option

Both functions have one negative and one positive x-intercept.

5 0

3 years ago