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2 years ago

Simplify the expression to a + bi form: (1 – 6i) + (12 + i)

Mathematics

2 answers:

padilas [110]2 years ago

5 0

$\sf{13+(-5i) }$

Step-by-step explanation:

we have to Simplify the expression(1 – 6i) + (12 + i) to a + bi form

$(1 – 6i) + (12 + i)\\\\1-6i+12+i\\\\1+12-6i+i\\\\13-5i\\\\13+(-5i)$

Alenkasestr [34]2 years ago

4 0

$\\ \sf\longmapsto (1-6i)+(12+i)$

$\\ \sf\longmapsto 1-6i+12+i$

$\\ \sf\longmapsto 1+12-6i+i$

$\\ \sf\longmapsto 13-5i$

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Which ordered pairs is a solution to -5x + 3y > 12?

GaryK [48]

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Answer:

(-5, 5), (2, 8), (-6, 0)

Step-by-step explanation:

It is convenient to graph the solution, then plot the points to see which fall in the solution area.

The point (3, 9) falls on the boundary line, which is not part of the solution set.

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B(-5, 5)

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2 years ago

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2 years ago

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what is the slope of the line that passes through the points (7,-6) and (4,-6)? write your answer in simplest form

Andrews [41]

Answer:

m = 0, y = -6

Step-by-step explanation:

using point slope form :

$y - y_{1} = m(x - x_{1})$

y-y1=m(x-x1) ; initial point (x1,y1) = (4,-6), final point (x,y) = (7,-6).

one substituted, it should look like this:

-6--6 = m(7-4),

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2 years ago

Find the area to 5 cm and 9 cm

Alexandra [31]

Answer:

$\large\boxed{A=45\ cm^2}$

Step-by-step explanation:

It's a parallelogram.

The formula of an area of a parallelogram:

$A=bh$

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h - height

We have b = 9cm and h = 5cm. Substitute:

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3 years ago

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e-lub [12.9K]

Answer:

$\boxed {\boxed {\sf x \approx 1.9}}$

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse
cosθ= adjacent/hypotenuse
tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

$sin \theta = \frac {opposite}{hypotenuse}$

θ= 54
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$sin (54)= \frac{ x}{2.3}$

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

$2.3* sin (54)= \frac{x}{2.3}*2.3$

$2.3* sin (54)=x$

$2.3*0.8090169944=x$

$1.860739087 =x$

Round to the nearest tenth. The 6 in the hundredth place to the right tells us to round the 8 up to a 9.

$1.9 \approx x$

x is approximately 1.9

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3 years ago