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Elina [12.6K]
3 years ago
8

(3+5i)(3-5i) please show work!

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

Answer:

34

Step-by-step explanation:

(3 + 5i)(3 - 5i) = 9 - 25i^2

because i^2 = -1    9 - 25i^2 = 9 - 25x-1 = 34

hope this helped

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A 70-ft ladder is mounted 10 ft above the ground on a fire truck. The bottom of the ladder is 40
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\text{Hello there!}\\\\\text{Use the Pythagorean theorem first:}\\\\a^2+b^2=c^2\\\\\text{Plug 70 to c since it's your hypotenuse and plug 40 to a}\\\\40^2+b^2=70^2\\\\\text{Solve for b:}\\\\40^2+b^2=70^2\\\\1600+b^2=4900\\\\\text{Subtract 1600 from both sides}\\\\b^2=3300\\\\\text{Square root}\\\\b=57.4456\\\\\text{Round to the nearest tenth}\\\\57.4\\\\\text{Add 10 to 55.4 because the ladder is 10 ft off the ground}\\\\67.4\\\\\boxed{\text{Answer: about 67.4 ft}}

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3 years ago
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3 years ago
What is the largest integer 0,-2,1.5
ser-zykov [4K]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
NEED HELP WITH THIS PROBLEM. thanks
AlexFokin [52]
Rick has 1 1/3, or 4/3, pounds of sugar. 
He needs to pour 1/4 of this amount into the bowl.
4/3 * 1/4  Multiply the numerators and the denominators
(4*1) / (3*4) = 4/12                   Simplify, 4/12 can be simplified to 1/3. 
He poured 1/3 pound of sugar. 

Now, for flour, we need to find 1/4 of 2/3, using the same process:
(2/3) * (1/4) = (2*1) / (3*4) = 2/12 = 1/6
He poured 1/6 pound of flour 
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3 years ago
What is the perpendicular height of an oblique prism with a volume of 144 cubic units and an area of 24 square units
givi [52]

Answer:

Height of the oblique prism is 18 units.

Step-by-step explanation:

Volume of an oblique prism = \frac{1}{3}(\text{Area of the base})(\text{Perpendicular height})

Area of the base of this prism = 24 square units

And volume of the prism = 144 cubic units

By substituting these values in the formula,

144 = \frac{1}{3}(24)(h)

h = \frac{144\times 3}{24}

h = \frac{432}{24}

h = 18 units

Therefore, height of the oblique prism is 18 units.                                            

4 0
4 years ago
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