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kkurt [141]
3 years ago
5

4. Find the value of the real number y such that

Mathematics
1 answer:
sdas [7]3 years ago
3 0

Step-by-step explanation:

(3 + 2i)(1 + iy)

= 3 + (3y + 2)i - 2y (because i² = -1)

For this to be real, (3y + 2) = 0. => y = -2/3

For this to be imaginary, y can be any real or complex number (except -2/3)

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numerele a, b si c sunt direct proportionale cu 2, 3 si 5. Daca media aritmetica a celor trei numere este egala cu 100, determin
Fynjy0 [20]

Answer:

a = 60

b = 90

c = 150

Step-by-step explanation:

Numerele a, b și c sunt direct proporționale cu 2, 3 și 5.

Unde k este constantă de proporționalitate

a ∝ 2

a = 2k

b ∝ 3

b = 3k

c ∝ 5

c = 5k

Dacă media aritmetică a celor trei numere este egală cu 100, determinați numerele a, b și c

= 2k + 3k + 5k / 3 = 100

= 10k / 3 = 100

Cross Multiply

= 10k = 3 × 100

= 10k = 300

Împărțiți ambele părți la 10

k = 300/10

k = 30

Pentru numărul a

a = 2k

a = 2 × 30

a = 60

Pentru numărul b

b = 3k

b = 3 × 30

b = 90

Pentru numărul c

c = 5k

c = 5 × 30

c = 150

Prin urmare, a = 60, b = 90, c = 150

3 0
3 years ago
Find two consecutive integers such that the larger is nine more than twice the smaller
Mars2501 [29]
If x is one integer and x+1 is the next, we have 2*x+9=x+1. Subtracting 9 and x from both sides, we get x(the smaller number)=-8 and the larger number is -7. 
7 0
3 years ago
Edmundo used a number line to show the solution for the inequality |2x-6|<4 Which number line shows the solution? HURRY PLEAS
Law Incorporation [45]
Break into 2 equatins to get x's:

2x-6<4 and 2x-6>-4

Solve for x in both:

2x-6<4
2x<10
x<5

2x-6>-4
2x>2
x>1

Graph both inequalities on the same number line:

<---0-----1-----2-----3-----4-----5-----6--->
6 0
3 years ago
Read 2 more answers
16) 2 is what percent of 20
KIM [24]

Answer:

2 is 10% of 20.

Step-by-step explanation:

2/20=10.

7 0
3 years ago
I sent pic for help. Question has 3 parts
anastassius [24]
P(head)=178/200
=89/100
4 0
2 years ago
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