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mars1129 [50]
3 years ago
11

Multiply (9 − 4i)(2 + 5i).

Mathematics
2 answers:
Verdich [7]3 years ago
7 0

Answer:

38+37i

Step-by-step explanation:

(9 − 4i)(2 + 5i)= 18+45i-8i-20i²= 18+20+37i= 38+37i

lara [203]3 years ago
5 0

Answer:

38 + 37i

Step-by-step explanation:

(9 − 4i)(2 + 5i)

FOIL

first: 9*2 = 18

Outer: 9*5i = 45i

inner: -4i * 2 = -8i

last : -4i * 5i = -20i^2 = -20(-1) = 20

Combine together

18+45i-8i +20

38 + 37i

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1) 14 units2 2) 16 units2 3) 17 units2 4) 19 units2
horrorfan [7]

Answer:

<h2><em><u>4th</u></em><em><u> </u></em><em><u>option</u></em><em><u>:</u></em><em><u> </u></em><em><u>19</u></em><em><u> </u></em><em><u>units2</u></em><em><u> </u></em></h2>

Step-by-step explanation:

<h3>The given figure can be divided as (i) upper rectangle, (ii) lower rectangle </h3>

<em><u>Then</u></em><em><u>,</u></em>

(i) Breadth of upper rectangle = 2 units

Length of upper rectangle = 8 - 1 = 7 units

<em><u>Therefore</u></em><em><u>, </u></em>

Area of the upper rectangle = 7 × 2 = 14 units2

(ii) Breadth of lower rectangle = 1 unit

Length of lower rectangle = 5 units

<em><u>Therefore</u></em><em><u>, </u></em>

Area of the lower rectangle = 5 × 1 = 5 units2

<em><u>Since</u></em><em><u>,</u></em>

Area of the figure is = <em>Area</em><em> </em><em>of</em><em> </em><em>upper</em><em> </em><em>rectangle</em><em> </em><em>+</em><em> </em><em>Area</em><em> </em><em>of</em><em> </em><em>lower</em><em> </em><em>rectangle</em><em> </em>

= 14 units2 + 5 units2

= <em><u>19 units2 (Ans) (4th option)</u></em>

7 0
2 years ago
All corresponding sides are proportional (same ratio) in similar figures. True or False
kipiarov [429]

Answer:

True

Step-by-step explanation:

The corresponding sides are proportional if they have the same ratio. The statement is true.

7 0
3 years ago
Read 2 more answers
Can y’all help me?.........
Amiraneli [1.4K]

Answer:

D

Step-by-step explanation:

It has the correct ration of red wax to white wax.

If for every 12 mL of red wax there's 5mL of white wax, with 36 mL, which is triple the amount a pink crayon calls for, then we also have to triple the white wax. 5 mL times 3 is 15 mL. Therefore, D is correct.

6 0
2 years ago
<img src="https://tex.z-dn.net/?f=what%20%5C%3A%20is%20%5C%3A%20%20%5Cfrac%7B6%7D%7B5%7D%20%5Ctimes%20%20%5Cfrac%7B3%7D%7B7%7D"
Pavlova-9 [17]

Answer:

18/35

Step-by-step explanation:

5 0
2 years ago
What is the vertex of the following y = 2(x - 3)2 + 4
Otrada [13]

Answer:

The vertex is (3,4)

Step-by-step explanation:

The equation is in vertex form for a parabola

y = a(x-h)^2 +k

Where (h,k) is the vertex of a parabola

y=2(x - 3)^2 + 4

The vertex is (3,4)

4 0
3 years ago
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