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Ipatiy [6.2K]
3 years ago
10

Simplify the expression. (-3 + 6i)(-3 + 5i)

Mathematics
2 answers:
Archy [21]3 years ago
5 0

Answer:

11i-6

Step-by-step explanation:

(-3+6i)(-3+5i)

combine like terms (-3)+(-3)=-6

6i+5i=11i

Alex_Xolod [135]3 years ago
4 0

Answer:

11i-6

Step-by-step explanation:

You might be interested in
A and B can fill a cistern in 4 hours. A and C can fill
kirill [66]

Answer:

20 hours

Step-by-step explanation:

We can work easier if we think in terms of an hour

the first equation that we can write is

A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)

the second equation we can write is

A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)

the third equation that we can write is

B = 2C  (its meaning is that in an hour B fill 2 times C the cistern)

now we can substitute the value of B in the first two equations

A + 2C = 1/4

A + C = 1/5

A = 1/5 - C

1/5 - C + 2C = 1/4

C = 1/4 -1/5

C = (5-4)/20

C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)

A = 1/5 - 1/20

A = (4-1)/20 = 3/20

B = 1/20 *2 = 1/10

4 0
3 years ago
Are the figures congruent? Explain.
nlexa [21]
I’m on the same question
4 0
3 years ago
Find the area of the figure.
konstantin123 [22]

Answer:

<em>132</em>

<em />

Explanation:

All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.

1.(7x4) + (1/2x8[7+19])

2. 28 + 104

3. 132

~Hope this helps you~

4 0
3 years ago
Evaluating an Expression<br> Evaluate (15 - 4x) + 5 when x = 3.
lukranit [14]

Answer:

8

Step-by-step explanation:

(15-4x)+5

(15-4(3))+5

(15-12)+5

3+5=8

7 0
3 years ago
Read 2 more answers
10) Given that two tangent lines are constructed from the shared point A outside a circle with the center O and points of tangen
lora16 [44]
Those two angles are congruent.

_____
The angles are corresponding parts of congruent triangles (CPCT). Triangles OBA and OCA are right triangles congruent by the HL postulate. The "H" is segment OA. The "L" is the radius, OB or OC. Of course the angles at B and C are 90° as with any radius and tangent line.
5 0
3 years ago
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