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malfutka [58]
2 years ago
9

I can not seem to figure out this problem. help!!

Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0
X=5 is the answer because
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Given equation x = 6 + i, w = -1 + 5i and z = 4 - 8i, determine each of the following in the form of a + bi
Temka [501]

Answer:

i) 28 - 30i

ii) 36 + 28i

Step-by-step explanation:

i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i

z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i

2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i

ii) w = -1 + 5i and z = 4 - 8i

w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40i^{2}⇒collect like terms

w × z = -4 + 28i - 40i^{2}

∵ i^{2}=-1

∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i

3 0
2 years ago
I need to find the value of X
nirvana33 [79]

Answer:

17.7

Step-by-step explanation:

This figure is a pentagon - a shape with 5 sides. In a pentagon, the figure's angles add to 540.

100 + 7x-4 + 3x + 23 + 9x - 6 + 90 = 540

190 +19x + 13 = 540

203 + 19x = 540

19x = 337

x = 17.7

3 0
3 years ago
Lisa paid $48.25 for 16.7 gallons of gasoline. What was the cost per gallon, rounded to the nearest
vlabodo [156]
$2.89 Just do the cost divided by the gallons and round up.
8 0
3 years ago
For A Sunday Brunch, Alisha is making a recipe that requires 8 cups of milk. She has 3 quarts of milk. Does she have enough for
vredina [299]
She has more than enough because with 8 cups you only need 2 quarts. She has 3 which gives her 12 cups.
6 0
3 years ago
At noon, Bradley began steadily increasing the
barxatty [35]

Answer:

25.5 mph

Step-by-step explanation:

So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed

So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15

y=2(0.25)+40

y=0.5+40

y=40.5

So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed

40.5 - 15 = 25.5

8 0
2 years ago
Read 2 more answers
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