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3 years ago

What is the slope of the line that passes through (-6,1) and (2,5)?

2 answers:

8 0

Slope is simply rise/run.
or
(vertical shift)/(horizontal shift)
therefore, the x value went from -6 to 2 which means it vertically shifted by 8.
and the y value went from 1 to 5, which means it horizontally shifted by 4.
the slope is 8/4.
or 2.

Alla [95]3 years ago

8 0

(-6,1)(2,5)
slope = (5 - 1) / (2 - (-6) = 4/(2 + 6) = 4 / 8 reduces to 1/2 <==

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Select all the functions that show an inverse variation...

trapecia [35]

Function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know, when x is not equal to zero and k is a nonzero real number constant, the equation of the form xy = k describes the nonlinear function known as inverse variation.

a) y=6x

The above function is a linear function

b) y=3/x

xy = 3

The above function shows an inverse variation.

c) y=1/3x

y = (1/3)x

The above function is a linear function

d) y= -.07x

The above function is a linear function

e) y= 2/x+4

y = (2+4x)/x

xy = 2 + 4x

The above function shows an inverse variation.

f) xy=-3

The above function shows an inverse variation.

Thus, function y=3/x, y= 2/x+4, and xy=-3 shows an inverse variation option (b), (e), and (f) are correct.

Learn more about the function here:

brainly.com/question/5245372

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5 0

2 years ago

Suppose you buy a CD for $500 that earns 2.5% APR and is compounded quarterly. The CD matures in 3 years. How much will this CD

Ilya [14]

We're going to use the compounded intrest formula:

$A = P(1+\frac{r}{n})^{nt}$

Where P is the initial cost
r is the rate as a decimal
n is the amount per year that you invest the rate
t is the amount of time at which you're checking how much it's worth (yrs)

Using this information, we can use:

$A = 500(1+\frac{0.025}{4})^{3*4} \approx 538.82$

So your answer will be B.

5 0

3 years ago

Read 2 more answers

On the unit circle, where 0 undefined?

Vinil7 [7]

In the center of the circle.

5 0

1 year ago

The expression 11x2 - 12x - 10 has ___ terms and a constant of ___.12, 113, -103, 1011, 122. combine like terms in the following

liubo4ka [24]

The expression 11x^2 - 12x - 10 has 3 terms and a constant of 10.

Hope this helps! - Alyssa T. :)

4 0

4 years ago

The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,

ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

$AC^2 =AB^2 +BC^2 \\ = {12}^{2} + {5}^{2} \\ = 144 + 25 \\ = 169 \\ AC = \sqrt{169} \\ \therefore \: AC = 13\: m \\ \\ AC \: is \: the \: diameter \: of \: semicircle \\ \therefore \: r = \frac{1}{2} \times AC = \frac{1}{2} \times 13 = 6.5 \: m \\ Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:$

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

$=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2$

8 0

4 years ago