The correct option: 3. Apply the distributive property or FOIL; to determine the value of zw.
What exactly is a complex number?Complex numbers are defined as a combination of real and fictitious numbers. Z = a + ib, where a and bi are real and imaginary numbers, is how a complex number is expressed.Let z = 19 + i and w = 4 + 10i.
Making a decision is the first step.
The steps to find the product of complex numbers z and w are as follows.
z. w = ( 19 + i )( 4 + 10i ).
applying distributive law,z. w = 19 * (4 10i) i * (4 10i).
removing the parenthesis,z. w = 19 * 4 + 19*10i + i * 4 + i * 10i.
Similar to that, further actions are.z. w = 76 + 190i + 4i + 10i².
because i² = -1.
z. w = 76 + 194i - 10.
z. w = 66 + 194i.
Thus, in order to find zw in the first step, use the distributive property or FOIL.
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The correct question is-
Let z = 19 + i and w = 4 + 10i.
What is the first step in determining zw?
Replace i2 with –1.Multiply z by the conjugate of w.Apply the distributive property or FOIL.Combine the corresponding real and imaginary parts.While walking past a flag pole, Tommy looked down and noticed his shadow. Use the diagram below to
find the length of his shadow.
PLS HELP
Answer: 30ft
Step-by-step explanation:
EXPRESA EN METROS :
A= 3 km 8 hm 5 dam
B= 8 dam 5 m 7 cm
C= 1 m 4 dm 6 cm 7mm
Answer:b
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST
3y + 7 = x
Solve for y and x.
Answer:
x=3y+7
y=1/3x-7/3
Step-by-step explanation:
Answer:
y=6 x=25
Step-by-step explanation:
brainliest plz
I need help please
And if u don’t know the answer don’t comment because i'm really looking for help! ):
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The points form a right triangle. The circumcenter is the midpoint of the hypotenuse of a right triangle. Here, that is the midpoint of AC:
O = (A +C)/2
O = ((1, 1) +(10, 8))/2 = (11, 9)/2 = (5.5, 4.5)
The circumcenter is (5.5, 4.5).
Help me to find two chords.
Answer:
I dont understand how to sorry
Answer:
the answer is 77
Step-by-step explanation:
a= b+c/2
78+76/2 = 77
Andy learns in school that plants grow best when they receive an optimal range of water, sunlight, and nutrients. He decides to do an experiment with bean plants to test this idea. Over the course of a month, he is planning on giving five bean plants different amounts of water. His watering schedule is outlined below.
Plant
Amount of Water
Every Week
A
0 mL
B
10 mL
C
100 mL
D
1,000 mL
E
10,000 mL
What will be the most likely result of his experiment?
Question 2 options:
A. Plant A will die, while all of the other plants will flourish.
B. There will be no difference between the plants by the end of the fourth week.
C. Plant A and Plant E will die.
D. Plant E will grow faster than all of the other plants.
Question 3 (1 point)
Answer:
C. Plant A and Plant E will die.
Step-by-step explanation:
A0 mL
B 10 mL
C 100 mL
D 1,000 mL
E 10,000 mL
Plant A will get no water so it will Die
Plant E will be overwatered so it will rot and die
HELP! ITS EASY BUT I CANT DO IT!! Find the volume of a rectangular prism with length = 8.4mm, width = 3.5mm and height = 5.6mm. Length = 8.4mm
Answer:
164.64
Step-by-step explanation:
you just have to multiply
8.4 x 3.5= 29.4 then you do 29.4 x 5.6 = 164.64
3 positive integers numbers that add up to 10
Help please
Answer:
3+2+5
Step-by-step explanation:
Work out the percentage change to 2 decimal places when a price of £220 is decreased to £210.
Answer:
the answer is 4.54%
¿Por qué creen que la cantidad de almidones es
la misma si el cereal se come solo o con leche? ayuda :(
Answer:
mira aveces el cereal se come con leche y aveces se come con yogurt a quienes lo hacen así claro el cereal tiene almidones
Can someone help me with this please .
Answer:
4
Step-by-step explanation:
78
Help me please it’s due right now
Answer:
1. -3/2
2. 8
Step-by-step explanation:
Plug the number in with x to find the answer, then solve using PEMDAS as normal.
A line has equation 2x + y=20 and a curve has equation y=a+
18/x-3, where a is a constant.
Find the set of values of a for which the line does not intersect the curve
Answer:
we have two equations:
2*x + y = 20
y = a + 18/x - 3
We want to find the values of a such that the graphs of the equations do not intersect.
The first step is to isolate y in the first equation.
now we get:
y = 20 - 2*x
Then we have the system of equations:
y = 20 - 2*x
y = a + 18/x - 3
If the line intersects the curve at a point (x, y), then at that point both functions have the same value of y, then:
20 - 2*x = y = a + 18/x- 3
We want to find a value of such that this does not happen.
Let's solve that equation and see what we can find.
20 - 2*x = a + 18/x - 3
20 + 3 = a + 18/x + 2*x
23 = a + 18/x + 2*x
(23 - a) = 18/x + 2*x
if we multiply all values by x, we get:
(23 - a)*x = 18 + 2*x^2
Then we have a quadratic equation, we can write this as:
2*x^2 - (23 - a)*x + 18 = 0
Now, remember that if the determinant of the quadratic function is smaller than zero, then the function does not have any real solution, then we need to find a such that the determinant of this quadratic equation is smaller than zero.
Remember that for a quadratic equation:
a*x^2 + b*x + c = 0 is:
b^2 - 4*a*c
In this case, the determinant is:
(-(23 - a))^2 - 4*2*18
(23 - a)^2 - 144
And this must be smaller than zero, then:
(23 - a)^2 - 144 < 0
23^2 - 2*23*a + a^2 - 144 < 0
529 - 46*a + a^2 - 144 < 0
a^2 - 46*a + 385 < 0
Notice that the function has a positive leading coefficient, then the arms of the function go upwards, then the region of the function that is smaller than zero is the values of a that are between both roots of a.
Then we need to solve:
a^2 - 46*a + 385 = 0
We can use the Bhaskara's equation to find the roots, the roots are given by:
[tex]a = \frac{-(-46) +- \sqrt{(-46)^2 - 4*1*385} }{2*1} = \frac{46 +-24}{2}[/tex]
Then the two roots are:
a₁ = (46 + 24)/2 = 35
a₂ = (46 - 24)/2 = 11
Then for all the values of a suc that:
11 < a < 35
The line does not intersect the curve.
How many squares are there in this diagram?
Answer:
well sense you got the answer now, ima just take the points.
Step-by-step explanation:
its a 4x4 square with 16 squares
Fill in the blank so that the ratios are equivalent. : 6 and 7:2
Answer:
x = 21
Step-by-step explanation:
x : 6 = 7 : 2
x/6 = 7/2
x/6 = 21/6
x = 21
Which situation would be represented by the integer -8? A hole 8 feet deep. An 8-yard pass. You earn $8. A temperature of 8°F.
Answer:
A
Step-by-step explanation:
another helluva boss meme
The number in front of a variable or term is called a .
Answer:
Coefficient. For example, in the term -3x, -3 serves as the coefficient of x.
The number in front of a variable or term is called a coefficient.
The coefficient represents the numerical factor by which the variable or term is multiplied. In an algebraic expression, the coefficient is the number that appears directly in front of the variable.
For example, in the expression 5x, the coefficient of x is 5. Similarly, in the expression 3y², the coefficient of y² is 3. The coefficient helps determine the magnitude or scale of the variable or term within the expression.
Therefore, the number in front of a variable or term is called a coefficient.
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A 133.5 kg crate, sliding on the floor, is brought to a stop by a 54.5 N force. What is the deceleration of the crate?
Answer:
0.40m/s^2
Step-by-step explanation:
Given data
Mass= 133.5kg
Force F= 54.5N
The expression for the force acting is
F=ma
substitute
54.5=133.5*a
]Divide both sides by 133.5
a= 54.5/133.5
a= 0.40 m/s^2
Hence the acceleration is 0.40m/s^2
A computer store bought a program at $10 and sold it at a selling price of $12 find the percent makup
Answer:
20%
Step-by-step explanation:
12-10=2
changed ÷ original x 100
2 ÷ 10 x 100
=20%
word problem that represents 8 times -0.25
Answer:
If bob buys 8 choclates, which each of them are 0.25 dollars each, how much money does he have if he has 0 dollars?
Step-by-step explanation:
Find the value of x, Round to the nearest tenth.
19
16
X
what value of x is quadrilateral CDEF a parallelogram
Answer:
x = 2
Step-by-step explanation:
CDEF is a parallelogram.
CE and FD are its diagonals.
Diagonals of a parallelogram bisects each other.
Therefore,
10x - 5 = 4x + 7
10x - 4x = 7 + 5
6x = 12
x = 12/6
x = 2
Thus, for x = 2, CDEF is a parallelogram.
In the quadrilateral CDEF, the value of x is 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Quadrilateral CDEF is a parallelogram.
Here, CE and FD are its diagonals.
We know that;
Diagonals of a parallelogram bisects each other.
Therefore, We can formulate;
⇒ 4x + 7 = 10x - 5
Solve for x as;
⇒ 7 + 5 = 10x - 4x
⇒ 12 = 6x
⇒ x = 12/6
⇒ x = 2
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Sara uses 7.6 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
1.9
Step-by-step explanation:
7.6/4= 1.9
1.9*1= 1.9
ans is 1.9 pints
Chen rode his skateboard 3 1/4 miles in 1/2 of an hour. What was his average speed in miles per hour.
Answer:
6.5 MPH
Step-by-step explanation:
Since he rode his skateboard for half an hour, you must multiply 2, that way he rode 1 hour. Since you multiply the 1/2 hour, you must also multiply 3 1/4, to get 6 1/2, or 6.5. Even though we know he didn't ride a full hour, if he had, and at the same rate, he would have rode 6.5 miles per hour.
Hope this helps! ;)
PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS CORRECT!!!
Answer:
ab multiplied by ( A -B)
Step-by-step explanation:
pls hurry i need the answer
9514 1404 393
Answer:
slope: 9/5
graph: C
Step-by-step explanation:
In a proportional relationship, the slope is the ratio of y to x. Here, that is ...
slope = y/x = 9/5
__
The graph of a proportional relationship goes through the origin. (eliminates graph B)
For this relationship, y is greater than x. (eliminates graph A)
The appropriate graph for y = 9/5x is graph C.
2. The dimensions of a triangular pyramid are shown on the figure below. The height of the pyramid is
15 inches. What is the volume in cubic inches?
11
16 in
20 in
25.6 in
Answer:
he should be in 11 inches
Bonjour, je bloque sur un exercice de mon DM pouvez vous m'aider s'il vous plaît ? Voici l'énoncé : Ce tremplin a la forme de la parabole de la fonction carré dans un repère orthonormé (unité : 1m). Il est haut de 0,5 m d'un côté et de 2m de l'autre. Calculer sa largeur l en m et arrondir au dixième. Merci d'avance.
Please help due today
Answer:
1) unlikely 1/8 12.5%
2) equally likely 4/8 50%
3) likely 5/8 62.5%
4)impossible 0/10 0%
5) unlikely 3/8 37.5%
please help me on this will give you brainliest
Answer:
1.41 x 10 to the 7th power
Step-by-step explanation:
3 x 10 to the fifth is 300000
300000 x 47 = 14100000 in 47 seconds
14100000 = 1.41 x 10 to the 7th power
Hope that helps!
Answer:
1.41*10^7 or 14,100,000
Step-by-step explanation:
3*10^5*47=1.41*10^7