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3 years ago

What is the rate of change for the set of ordered pairs?

Mathematics

1 answer:

Elden [556K]3 years ago

6 0

THE ANSWER IS C IF I RECALL DOING THIS

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Two wires

xz_007 [3.2K]

Answer:

am i suppoesd to do number 7 as well?

Step-by-step explanation:

Two wires

tether a balloon to the ground, as shown. How

high is the balloon above the ground? (Must Use Right

Triangle Trigonometry)

look at picture

4 0

3 years ago

Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

8 0

3 years ago

Given f(x) = √(x-3) , what is the positive value of f(12)?

Shalnov [3]

Answer:

Step-by-step explanation:

Given

f(x) = $\sqrt{(x-3)}$ , then

f(12) = $\sqrt{12-3}$ = $\sqrt{9}$ = ± 3

There are 2 values 3 and - 3

The positive value of f(12) is + 3

6 0

3 years ago

which equation is the quadratic variation equation for the relatonship? the variable y varies directly with x^2 and y=36 when x=

svetoff [14.1K]

For this case we have a direct variation of the form:

$y = kx ^ 2$

Where,

<em>k: proportionality constant </em>

We must find the value of k.

For this, we use the following data:

$y = 36\\x = 3$

Therefore, replacing values we have:

$36 = k (3) ^ 2$

Rewriting:

$36 = 9k$

Clearing the value of k we have:

$k = \frac {36} {9}\\k = 4$

Therefore, the direct variation equation is given by:

$y = 4x ^ 2$

Answer:

The quadratic variation equation for the relatonship is:

$y = 4x ^ 2$

8 0

2 years ago

The scale of a room in blueprint is 3in 5ft. A wall in the same blueprint is 18in. what are the actual room measurements?

QveST [7]

Answer:

Actual length of wall = 30ft

Step-by-step explanation:

We have scale of a room as 3 inch for 5ft.

We can write scaling factor as:

Scaling factor = 3 /60 (Since 5ft = 60 inches )

Scaling factor = 1/20

Now,

a wall in the blueprint is 18inch.

So actual length of wall can be determined by dividing 18 inch by the scale factor.

i.e actual length of wall = 18 / scale factor = 18 / (1/20)

actual length of wall = 18* 20 = 360 inch = 30ft (Since 360 inch = 30ft)

Hence Actual length of wall = 30ft

5 0

3 years ago