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3 years ago

Find the length of the segment with endpoints of (3,2) and (-3,-6).

1 answer:

3 0

The distance between two points is given by
√((x₂₋x₁)² + (y₂-y₁)²)

√ ((-3-3)² + (-6-2)²)
= √ ((-6)² + (-8)²)
= √ (36 + 64)
= √ 100
= 10
The distance is 10

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ser-zykov [4K]

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so the third one counting from left to right

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3 years ago

What is the measuring of angle x?

docker41 [41]

42 + 90 +x = 180

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3 years ago

Can I get help with this?

blagie [28]

Answer:

y-4=7(x-1)

Step-by-step explanation:

Hi there!

We are given the slope of the line (7) and the point (1,4) and we need to find the equation in point-slope form.

Point-slope form is given as y- $y_{1}$ =m(x- $x_{1}$ ) where m is the slope and ( $x_{1}$ , $y_{1}$ ) is a point

We have all of the needed information for the equation, but let's first label the values of everything in order to avoid confusion

m=7

$x_{1}$ =1

$y_{1}$ =4

now substitute into the formula:

Hope this helps! :)

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3 years ago

Given y = log3(x + 4), what is the range?

lora16 [44]

Answer:

The range is all real numbers.

The domain is all reals numbers that are greater than -4.

Step-by-step explanation:

$y=\log_3(x+4)$ only exists when $x+4$ is positive.

You can take the log of a negative or 0 number.

So $x+4>0$ implies $x>-4$ . (I just subtract 4 on both sides.)

So the domain is x>-4. You should see this also when you graph the curve that the curve only exist to the right of -4.

Now the range. The range is where the curve exist for the y-values.

The equivalent exponent form of $y=\log_3(x+4)$ is $3^{y}=x+4$

We can solve this for x be subtract 4 on both sides:

$x=3^y-4$

Now here y can be anything; there are no restrictions on the exponent.

Also if you look at the graph of $y=\log_3(x+4)$ you should see every y getting hit by the curve (look down to up; use the y-axis as a guide).

Let's think about the inverse I found above a little more (I'm going to swap x and y).

$y=3^x-4$ .

If we look at the domain and range of this we can just swap it to get the domain and range of $y=\log_3(x+4)$ .

$y=3^x-4$ is an exponential function of 3^x that has been moved down 4 units.

The range since it has been moved down 4 units is $(-4,\infty)$ .

The domain of an exponential function is all real numbers. There are no restrictions on what you can plug in for x.

So swapping these to find the domain and range of $y=\log_3(x+4)$ :

Domain: $(-4,\infty)$

Range : $(-\infty,\infty)$

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3 years ago

Rosemary is driving to Chicago, and she is 84 miles away. She wants to arrive in 1.5 hours. What rate of speed will she have to

Olegator [25]

Answer:

rosemary needs to maintain 65 mph

Step-by-step explanation:

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3 years ago

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