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4 years ago

How do you multiply positive and negative integers?

2 answers:

7 0

-- Ignore the signs and multiply the numbers.

-- If the original two numbers have the same sign, then the product is positive.

-- If the original two numbers have different signs, then the product is negative.

forsale [732]4 years ago

4 0

example: (-8)×(+2)=-16

multiply 8×2= 16 and since the signs are different the answer is a negative number

ANSWER: -16

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If z = (5 + 12i) ÷ (3 + 4i), then |z| = _____. 5/13 1(2/3) 2(3/5) 3

Marta_Voda [28]

$\dfrac{5+12i}{3+4i}=\dfrac{5+12i}{3+4i}\cdot\dfrac{3-4i}{3-4i}=\dfrac{15-20i+36i-49i^2}{3^2-(4i)^2}\\\\=\dfrac{15+16i+49}{9-16i^2}=\dfrac{64+16i}{9+16}=\dfrac{64+16i}{25}=2.56+0.64i$

$z=a+bi\\\\|z|=\sqrt{a^2+b^2}\\\\z=2.56+0.64i\to a=2.56;\ b=0.64\\\\|z|=\sqrt{2.56^2+0.64^2}=\sqrt{6.9632}=\sqrt{\dfrac{69632}{10000}}=\sqrt{\dfrac{4096\cdot17}{100}}\\\\=\dfrac{64\sqrt{17}}{100}=0.64\sqrt{17}\approx2.6=2\dfrac{3}{5}$

3 0

3 years ago

Read 2 more answers

4) Slope = 1, y-intercept = 4

8090 [49]

y=mx+b - slope intercept form

Slope = 1, y-intercept = 4

m is also the slope

b is the y-intercept

answer;

y=x+4

6 0

3 years ago

Read 2 more answers

a submarine ascended 3/8 mile and the descended .4 of a mile followed by another 2/5 mile descent, finally it rose .75 of a mile

shusha [124]

Do you still need the answer? lol.

5 0

4 years ago

Can someone help me with this Exponential Growth and Decay word problem? I have been able to get the rest of them done but this

Vinvika [58]

Answer:

A) 61.68

Step-by-step explanation:

This is an exponential decay of 0.875. The way to know that is to get that is $\frac{right}{left} \\$ (Pick a random number and divide by the number to the left of it) From there, there is a 12 hour difference from 7 am to 7pm! Divide 306.25/0.875 and divide it by 0.875 by the answer of that each time 12 times. The exact answer is 61.68402914

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4 years ago

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An airplane climbs at an angle of 2.7" from an altitude of 4500 ft to an altitude of 5600 ft. How far does the airplane travel a

Dvinal [7]

Answer:

23,325 ft, about 4.42 miles

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle, where the side adjacent to the 2.7° angle of climb is the horizontal distance, and the side opposite is the vertical change in altitude. That change is ...

5600 ft -4500 ft = 1100 ft

and the angle relation is ...

tan(2.7°) = opposite/adjacent = (1100 ft)/(horizontal distance)

Multiplying this equation by (horizontal distance)/tan(2.7°) gives ...

horizontal distance = (1100 ft)/tan(2.7°) ≈ 23,325 ft

Dividing this by 5280 ft/mi gives ...

horizontal distance ≈ 4.42 mi

The airplane travels about 23,325 ft, or 4.42 miles, horizontally as it climbs.

4 0

3 years ago