Line A has a slope of -

Mathematics

1 answer:

Yuki888 [10]3 years ago

3 0

Answer:

Graphing

Step-by-step explanation:

Refer to the image below!

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Six machines, each working at the same constant rate, together can complete a certain job in 12 days. How many additional machin

Schach [20]

Answer:

3 machine

Step-by-step explanation:

It is given that 6 machine each working at the same rate can complete the work in 12 days

We the has to complete in 8 days

Let we need x extra machine to complete the work in 8 days

So total number of machines =x+6

Now according to man work day equation $M_1D_1=M_2D_2$

$6\times 12=(x+6)\times 8$

$8x+48=72$

$8x=24$

x=3 machine

7 0

3 years ago

Find [5(cos 330 degrees + I sin 330 degrees)]^3

earnstyle [38]

Given a complex number in the form:
$z= \rho [\cos \theta + i \sin \theta]$
The nth-power of this number, $z^n$ , can be calculated as follows:

- the modulus of $z^n$ is equal to the nth-power of the modulus of z, while the angle of $z^n$ is equal to n multiplied the angle of z, so:
$z^n = \rho^n [\cos n\theta + i \sin n\theta ]$
In our case, n=3, so $z^3$ is equal to
$z^3 = \rho^3 [\cos 3 \theta + i \sin 3 \theta ] = (5^3) [\cos (3 \cdot 330^{\circ}) + i \sin (3 \cdot 330^{\circ}) ]$ (1)
And since
$3 \cdot 330^{\circ} = 990^{\circ} = 2\pi +270^{\circ}$
and both sine and cosine are periodic in $2 \pi$ , (1) becomes
$z^3 = 125 [\cos 270^{\circ} + i \sin 270^{\circ} ]$

6 0

3 years ago

How does the graph of y=4x+7 differ from the graph of y=4x

Schach [20]

Find any two points on the line.

x=0⇒y=4(0)+7=7⇒ Point 1: (0,7)

x=−1⇒y=4(−1)+7=3⇒ Point 2: (−1,3)

Step 2: Plot the two points from Step 1

Step 3: Draw a straight line through both points

3 0

3 years ago

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