Given:
[tex]z=5-9i[/tex]
[tex]w=6+i[/tex]
To find:
The expression that shows the first step in finding the quotient of [tex]\dfrac{z}{w}[/tex].
Solution:
According to the question,
[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}[/tex]
First, we need to multiply and divide the conjugate of denominator, i.e., 6-i, to find the quotient.
[tex]\dfrac{z}{w}=\dfrac{5-9i}{6+i}\times \dfrac{6-i}{6-i}[/tex]
Therefore, the correct option is A.
Answer:
the answer is a
Step-by-step explanation:
edge 2020
that is the question
0.8-3.2x<-2-2.8x please help me answer this!!!!! it is timed
Answer:
x > 7
Step-by-step explanation:
0.8 - 3.2x < -2 - 2.8x
Add 2.8x to both sides.
0.8 - 0.4x < -2
Subtract 0.8 from both sides.
-0.4x < -2.8
Divide both sides by -0.4. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality symbol changes direction.
x > 7
In 2010, total number of students in a school was 3200 and in 2011 it is increased by the ratio 6:5. Find the total number of students in 2011 in the school.
Answer:
3321
Step-by-step explanation:
6+5=11
11*6=66
11*5=55
66+55=121
3200+121=3321
Expression A: X+3 Expression B: 1 + x + 2 Which statement can be used to show that these expressions are equivalent?
OA. Each expression includes the term x.
OB. The expressions name the same number regardless of the value of x.
OC. X+3 can be rewritten as 1 + x + 2 using distributive property.
O D. Both expressions involve addition,
Please help! May give brainlists. (Idk how to spell it-)
Answer:
The expressions name the same number regardless of the value of x
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Because 3 can become 1 and 2
7. 3х + 3 = 3(х + 1)
given g(x) √x-4 and h(x) = 2x - 8
what are the restrictions on the domain of g • h?
x ≥ ____
Answer:
6
Step-by-step explanation:
Given : g(x) = and h(x)=2x-8.
g*h(x) =(2x-8).
We have square root(x-6) in composite function f*h(x).
So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.
Square roots are undefined for negative values.
Therefore, we can setup an inequality for it's domain x-6≥0.
Adding 4 on both sides, we get
x-6+6≥0+6.
x≥6.
Answer:
6
Step-by-step explanation:
Given AC = LN and BA = ML, which statement must be true?
Answer:
BC<MN
Step-by-step explanation:
There are 42 people walking in 2 rows. How many people are walking in 1 row?
Answer:
21
Step-by-step explanation:
Hope this helps! Consider Brainiest!
Answer:
21 people
Step-by-step explanation:
Forty-two people in two rows means that forty-two is divided into 2 groups.
42/2=21
HTH :)
Select the theorem that proves the triangles congruent. If the triangle cannot be proven congruent, select "not congruent."
Please help! I’ll give brainliest!!
Answer:
c
Step-by-step explanation:
here they give you an angle C≅angle G, then a side DG≅ side CA and then an angle A≅angle D so is the
Angle-Side-Angle theorem or ASA
John want to move from point A to point B. To avoid the pond he must walk 36 m south and 49 m east. However he wants to go through the pond in order to save time. To the nearest meter calculate how many meters would be saved if John rows a boat across the pond?
Answer:
60.80
Step-by-step explanation:
PLS HELP!
Simplify -C(Cx^4)^2
Answer:
k!! *grabs a note book*
soo the answer is... -c^3x^8
Step-by-step explanation:
hope this helps!!
Simplify 4(2x-3), Simplify 4(2x-3)
Answer:
8x-12
Step-by-step explanation:
Distribute the 4 so 4 time 2x is 8x and 4 times 3 is 12 but the 3 is negative so negative 12
Answer:
4(2x-3) = 8x - 12
Step-by-step explanation:
4 times 2x equals 8x
4 times -3 is 12 because a negative number + a postitve = a negative
Find the measure of Please helppp
Answer: 43
Step-by-step explanation: you add all of them up and then do 180- what you get which would be 180-137. It gives you 43.
Answer:
43 degrees
Step-by-step explanation:
straight lines equal 180 so u add all the angles together to reach 180 hope this helps
65472÷2=a
487655-a=b
Answer:
a = 32736
b = 54919
Step-by-step explanation:
How do I transform this into a zero?
PLS HEEELPPPP!!
Answer:
-n=-3
Step-by-step explanation:
Determine which regions contain cube roots of 8i. Check all that apply.
on real axis
on imaginary axis
quadrant 1
quadrant 2
quadrant 3
quadrant 4
Answer:
this is the right answer
The cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
We have a complex number:
= ∛8i
The cube roots of 8i are
The cube roots of 0+8i are:
1. √3 + 1i
2. -√3+1i
3. 0-2i
The complex number can be represented as:
= a + ib
a, and b are real numbers.
i is the iota.
Thus, the cube roots of 8i are in the region of on imaginary axis, quadrant 1, and quadrant 2 options 2, 3, and 4 are correct.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ2
Is 46 greater or less than -79
Answer:
46 is greater than -79
Answer:
It is greater than
Step-by-step explanation:
-79 is below 0
1+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=2
lol
Answer:
1 + 1 equals 2.
Step-by-step explanation:
When you take one of something, and you add it to another 1 of something, then you get 2 of something.
Please help will mark brainliest if correct
Answer:
Step-by-step explanation:
ASA
Round 4358 to the nearest thousand
Answer:
4,000
Step-by-step explanation:
You go to the thousand number and see if the hundred number is higher than 5, if not then its stays the same.
Pls can someone help me factorise: 4u²‐u-3
Answer:
(u - 1)(4u + 3)
Step-by-step explanation:
Given
4u² - u - 3
Consider the factors of the product of the coefficient of the u² term and the constant term which sum to give the coefficient of the u- term.
product = 4 × - 3 = - 12 and sum = - 1
The factors are - 4 and + 3
Use these factors to split the u- term
4u² - 4u + 3u - 3 ( factor the first/second and third/fourth terms )
= 4u(u - 1) + 3(u - 1) ← factor out (u - 1) from each term
= (u - 1)(4u + 3)
Thus
4u² - u - 3 = (u - 1)(4u + 3) ← in factored form
You can buy 8 apples at the Quick Market for $1.45. You can buy 6 of the same apples at Stop and Save for $1.22. Which place is the better buy?
The Quick Market will be the place for better buy than Stop and Save.
Comparison of rates for better buy: Find the rate of one unit. Compare the rates to decide the better buy.Given in the question,
Total amount paid for 8 apples at The Quick Market = $1.45 Total amount paid for 6 apples at Stop and Save = $1.22Rate of apples at The Quick Market = [tex]\frac{\text{Total amount paid}}{\text{Number of apples}}[/tex]
= [tex]\frac{1.45}{8}[/tex]
= $0.18125
≈ $0.18 per apple
Rate of apples at Stop and Save = [tex]\frac{1.22}{6}[/tex]
= $0.20333
≈ $0.20 per apple
Since, $0.18 is less than $0.22, The Quick Market will be the place for better buy than Stop and Save.
Learn more about the comparison of rates here,
https://brainly.com/question/1481522?referrer=searchResults
Help me thank you!!:)
Answer:
I'd love to help!
Step-by-step explanation:
There is a problem. I can not see the image. When I try to click on it it says that there is an image error. Is your internet bad?
ILL GIVE BRAINLIEST PLEASE ANSWER THIS FAST FAST FAST
Drag each set of coordinates to the correct location on the table. Not all coordinates will be used.
Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)
Answer:
1. No solution.
2. (-1,3)
3. (2,0)
4. (1,0)
Step-by-step explanation:
Hope it helps.
What is the sum of the measures of interior angles for a regular polygon with 5 sides
Answer:
360 degrees
Step-by-step explanation:
Answer: 540°
Step-by-step explanation:
180 * (number of agles -2)
180 * (5-2)
180 * 3
540
Which statement correctly describes the end behavior of the function f ( x ) = − x 2 + 3 x + 12
PLEASE HELP QUICK
Which equation represents the line that passes through the
point (-2,5) and is perpendicular to the graph of x - 6y = 4 ?
Answer:
y=6x+7
Step-by-step explanation:
Solve the equation.
20 = –d + 16
A. –4
B. –6
C. 4
D. –10
i have multiple question but for that i will give u lots of points and who ever gets it first ALL OF THEM will also get brainlest :)
1:
2:
3:
4:
5:
Answer:
1. slope is 1/2
2. slope is 1/3
3. slope is 2/3
4. slope is 3
5. y=3x-2
Step-by-step explanation:
Which mathematical property is demonstrated?
7 + 9 + 3 = 7 + 3 + 9
A. commutative property of addition
B. associative property of addition
C. commutative property of multiplication
D. associative property of multiplication
Answer:
I believe the answer would be A
Step-by-step explanation:
Hope this helps!
Answer:
B
Step-by-step explanation:
B