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3 years ago

On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?

Mathematics

2 answers:

erastova [34]3 years ago

4 0

Answer:

In other words to what the dude above me said, the answer is "a''

Step-by-step explanation:

pogonyaev3 years ago

3 0

Shortest Distance = $\sqrt{ (-4+2)^{2} + (3+1)^{2} }$
Shortest Distance = $\sqrt{ (-2)^{2} + (4)^{2} }$
Shortest Distance = $\sqrt{20}$
Shortest Distance = $4.47 units$

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What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?

andre [41]

Answer is b hope this helps

6 0

3 years ago

Find the inverse f^-1(x) if f(x)=x+2

stiks02 [169]

Answer:

f^-1(x) = x - 2

Step-by-step explanation:

To find the inverse of a function in terms of x and y, you would sway x and y in the function. We can rewrite f(x) = x + 2 as y = x + 2, since f(x) is basically y in a function. The inverse of y = x + 2 would be x = y + 2. Now, solve for y.

x = y + 2

-2 both sides.

x - 2 = y

y = x - 2

The inverse of y = x + 2 would be y = x - 2, so the inverse of f(x) = x + 2 would be f^-1(x) = x - 2 (f^-1(x) means the inverse of f(x)).

f^-1(x) = x - 2

I hope you find this helpful. :)

3 0

3 years ago

Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5.

Licemer1 [7]

<h3>Answer:</h3>

y=1/2x

<h3>Solution:</h3>

The slopes of perpendicular lines are opposite reciprocals of each other.
The simplest way to determine a number's reciprocal is to flip it over, like so:
$-2 ~ - > -\displaystyle\frac{1}{2}$
Now, change the sign:
$\displaystyle\frac{1}{2}$
So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
Now, let's find the line's equation.
First, let's write it in Point-Slope Form:
y-y1=m(x-x1)
y-(-2)=1/2(x-4)
y+2=1/2x-2 (Point slope)
Now, convert to slope-intercept:
y=1/2x+2-2
y=1/2x

Hope it helps.

Do comment if you have any query.

5 0

2 years ago

Read 2 more answers

Could ΔABC be congruent to ΔADC by SSS? Explain. Yes, but only if AB ≅ DC. Yes, but only if BC ≅ DC. No, because AB is not congr

Sonbull [250]

Answer:

<em>Yes, but only if BC ≅ DC; Option B</em>

Step-by-step explanation:

There are 4 possible ways to determine whether two triangles are congruent, and they are the following ;

ASA ( Angle - Side - Angle ),

SAS ( Side - Angle - Side ),

AAS ( Angle - Angle - Side ), and

SSS ( Side - Side - Side )

It is known here that we must prove these triangles congruence through SSS. A triangle can thus be made possible through the congruence of corresponding sides;

Now if we were to create these triangles it would be that BC and DC are, if the triangles were to coincide with one another, the apparent same length if it were that these two Δs really are ≅. Thus;

<em>Solution; Yes, but only if BC ≅ DC</em>

5 0

3 years ago

24% of 75 is what number?

mariarad [96]

The answer is 18
75/x = 100%/24%
x/75 = 24/100
you’re answer is 18

6 0

3 years ago