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Sauron [17]
3 years ago
12

Determine the relation of the following lines: y = -2x + 4 and y = -2x + 1.

Mathematics
1 answer:
Naily [24]3 years ago
8 0

Answer:

Parallel

Step-by-step explanation:

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A couple realizes a real estate financing of R $ 180,000.00, to be paid in 360 monthly installments, with an effective interest
Lilit [14]

Answer:

ANSWER: letter D

Step-by-step explanation:

In the tenth installment, the debit balance is, in reais, of

180000 - 9. 500 = 175500

The 1% interest on this amount results in:

1% . 175 500 = 1755

Thus, the tenth installment is, in reais, 500 + 1755 = 2255

8 0
3 years ago
YA
irakobra [83]

Answer:

a) P(0, <u>2</u>), Q(<u>4</u>, 0)

b) Please find attached the plot of the points P and Q on a chart made with MS Excel

c) Please find the graph of the line that represent the function 4·x + 2·y = 8 for values of x from -2 to 3 made with the Insert Chart feature on MS Excel

Step-by-step explanation:

The given equation for the line is 4·x + 2·y = 8

a) The coordinates of P = P(0, _)

Therefore, the point 'P', which is the point where the variable y = 0, is the point the (straight line) graph intercepts the x-axis (the x-intercept)

When y = 0 from the given equation, we get;

4·x + 2·y = 8

At the point y = 0;

4·x + 2 × 0 = 8

x = 8/4 = 2

x = 2

∴ The coordinates of P = P(0, _) = P(0, <u>2</u>)

Similarly, when x = 0, we get;

4·x + 2·y = 8

At the point x = 0;

4 × 0 + 2·y = 8

y = 8/2 = 4

y = 4

∴ The coordinates of Q = Q(_, 0) = Q(<u>4</u>, 0)

b) Rewriting the given equation in terms of 'y' gives;

y = (8 - 4·x)/2 = 4 - 2·x

y = 4 - 2·x

With the help of MS Excel, the points P and Q are plotted in the attached graph

c) The line of the graph of the function 4·x + 2·y = 8 for values of x from -2 to 3 can be added by Changing the Chart Type to 'Scatter with Smooth Lines and Markers' within MS Excel as presented in the included graph of the line.

3 0
2 years ago
If a=i+7j+k and b=i+11j+k, find a unit vector with positive first coordinate orthogonal to both a and
Scilla [17]
Take the cross product, then normalize the result.

\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k

This has norm

\|\mathbf a\times\mathbf b\|=\sqrt{(-4)^2+4^2}=4\sqrt2

and so a unit vector orthogonal to both given vectors is

\dfrac{\mathbf a\times\mathbf b}{\|\mathbf a\times\mathbf b\|}=-\dfrac1{\sqrt2}\,\mathbf i+\dfrac1{\sqrt2}\,\mathbf k

An equally correct answer would be the negative of this vector, since \mathbf b\times\mathbf a=-\mathbf a\times\mathbf b.
5 0
3 years ago
Amy launched a ball into the air. The height of the ball can be represented by the equation h = -16t^2 + 96t + 112, where h is t
Sidana [21]

Answer:

Vertex is (3, 256)

Step-by-step explanation:

The vertex means that at 3 seconds, the highest point the ball will reach is 256 units in the air.

3 0
2 years ago
Order of Operation
Sphinxa [80]

<em><u>45(x)-20 </u></em>

x=hours

7 hours

x=7

<em><u>45(7)-20 =295</u></em>

4 0
2 years ago
Read 2 more answers
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