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2 years ago

What is the product?

Mathematics

1 answer:

V125BC [204]2 years ago

8 0

Answer:

The answer I got was

Step-by-step explanation:

[7, 4, 3]

You use the matrix calculator and then select a*b

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The product of (3 − 4i) and____is 25.

LiRa [457]

$(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}$

$9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}$

6 0

3 years ago

Systems with three variables. please help

kirza4 [7]

X= 6
Y= 0
Z= -2

CHECK
3x + y -2z =22
3(6) + 0 -2(-2) =22
18 + 0 +4= 22
22=22

x+5y+z =4
6 +5(0)+ -2 =4
6 + 0 +-2 = 4
4=4

x+3z=0
6 + 3(-2) =0
6 -6 = 0
0=0

3 0

3 years ago

Jane is building eight 3-legged stools. Each leg is 1/2 yard long. She can cut the legs from wooden rods that are sold in 2-yard

jonny [76]

Answer:

$n = 6\,rods$

Step-by-step explanation:

The total of legs needed to build the stools are:

$x = (8) \cdot (3)$

$x = 24$

Likewise the total length of the legs is:

$L_{tot} = 24\cdot (0.5\,yd)$

$L_{tot} = 12\,yd$

Lastly, the quantity of rods that needed to buy is:

$n = \frac{12\,yd}{2\,\frac{yd}{rod} }$

$n = 6\,rods$

6 0

3 years ago

Show me how to solve

Sedbober [7]

Draw the shape by drawing dots at the co-ordinates.
Connect them in order, so if it's KLMN, connect K to L then to M then N.
Then, pick one of the points, I'd choose K, then move that dot 3 to the right, then move it 4 up. Do the same for all of the letters.

3 0

3 years ago

Fred buys 16 bags of tortilla chips and 28 jars of salsa dip. What is the ratio of salsa jars to bags of tortilla chips? Simplif

mylen [45]

7 to 4 is the ratio of salsa jars to salsa bags

7 0

3 years ago