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Julli [10]
2 years ago
10

What is the midpoint of a segment in the complex plane with endpoints at 6 – 2i and –4 + 6i?

Mathematics
1 answer:
igomit [66]2 years ago
7 0
1+2i

to find the midpoint you do it just like you did with rectangular coordinates,
add and divide by 2 the real component and the imaginary components.

\frac{6-4}{2}  =  \frac{2}{2}  = 1

and 

\frac{-2i+6i}{2} = \frac{4i}{2} = 2i
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Can someone please help me
djyliett [7]

Slope = (10 - 5)/(-9 + 15) = 5/6

y = mx + b where m = slope and b = y-intercept

b = y - mx

b = 5 - (5/6) (-15)

b = 5 +12.5

b = 17.5

Equation y = 5/6 x + 17.5

Y-intercept = 17.5

X-intercept when y = 0

So

5/6 x + 17.5 = 0

5/6 x = -17.5

x = (-17.5) (6/5)

x = -21

Answer

Y intercept (0, 17.5 )

X intercept (-21 , 0)

3 0
3 years ago
Amanda drove 348 miles using 15 gallons of gas. at this rate, how many gallons of gas would she need to drive 232 miles?
stich3 [128]

348 /15 = 23.2 miles per gallon

232 miles/ 23.2 miles per gallon = 10 gallons

8 0
3 years ago
Read 2 more answers
If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?A. -2B
podryga [215]

Answer:

B) -3/2

Step-by-step explanation:

If [x/2]=0 then x/2 is a number such that the least integer greater than or equal to x/2 is 0. We can rewrite this as the inequality x/2≤0. Then, the value of x in C, D and E is wrong because they are positive numbers, then x/2 would be a positive number which contradicts this inequality.

Now, 0 is the least integer that satisfies this inequality, therefore we cannot have that x/2≤-1 since -1 is an integer and -1<0. Then x/2>-1. This discards A as wrong, because for x=-2, x/2=-1, contrary to x/2>-1.

Thus B is the right answer. To verify, if x=-3/2, then x/2=-3/4 and we have that -1<-3/4≤0 as required.

3 0
3 years ago
Use the Distributive Property to write each expression in expanded form.
kap26 [50]

A. 3x+21

B. 25-5x

C.8x-16

D.x^2+6x+24

7 0
3 years ago
Read 2 more answers
4.A store pays $85 for a table. The markup is 90%. What is the selling price?
allochka39001 [22]

Answer:

$161.50

Step-by-step explanation:

the revenue for an item of $85 with a 90% markup is $161.50

3 0
3 years ago
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