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3 years ago

Word expression for 3+(4×12)

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Fifty one is the answer to your question

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Which is a factor of 15xy − 45x − 6y + 18?

Lisa [10]

I see right away that 3 can be factored out of <span>15xy − 45x − 6y + 18.

The quotient is 5xy - 15x - 2y + 6, so that

</span>15xy − 45x − 6y + 18 = 3(5xy − 15x − 2y + 6) (2 factors)
<span>
or 3 [ 5x(y-1] - 2 [y-3])

</span>

7 0

3 years ago

Read 2 more answers

What is the complex number z=−3+3√3i represented in polar form?<br><br><br> z=____cis(____)

maks197457 [2]

Answer:

Step-by-step explanation:

The general form of a complex number z = x+iy

If x = rcos $\theta$ and y = rsin $\theta$

where r is the modulus of the complex number and $\theta$ is the argument, z in polar form is represented as:

z = rcos $\theta$ + rsin $\theta$

z = r(cos $\theta$ + isin $\theta$ )

z = rcis $\theta$

Given the complex number z=−3+3√3i

r = $\sqrt{x^{2}+y^{2} }$

$r = \sqrt{(-3)^{2}+(3\sqrt{3})^{2} } \\r = \sqrt{9+27} \\r = \sqrt{36}\\ r = 6$

$argument\\\theta = arctan \frac{y}{x} \\\theta = arctan \frac{3\sqrt{3} }{-3} \\\theta = arctan {-\sqrt{3} } \\\theta = -60 \deg$

since the argument is negative and tan is negative in the 2nd and 4th quadrant,

In the second quadrant, theta = 180- 60 = 120°

On substituting r and theta, the complex number in polar form is expressed as 6cis120°

3 0

4 years ago

What is the length of a line segment joining the points (5, -1) and (10, -1)

UNO [17]

The two points have the same y value, so it is a horizontal line. Between 5 and 10, the distance is 5.

4 0

4 years ago

Read 2 more answers

You are paid 6% commission on the first

Alex

Answer:

$562.50

Step-by-step explanation:

6% of the first $2,000 is $120

8% of the next $3,000 is $240

9% of the rest of the $2,250 is $202.50

Add all of it together any you have $562.50

4 0

3 years ago

If angle bisector EG is drawn find angle EGF

Gnesinka [82]

Answer:

90°

Step-by-step explanation:

because by bisecting the angle, you are going through the centre in this triangle. Splitting to triangle in half gives two right-angled triangles :)

sorry for bad drawing

6 0

3 years ago