Answer:
Given are two complex numbers as
When we add algebraically, we add the real parts and then add the imaginary parts separately
Hence
Geometrically we draw position vector of both the points. The sum would be resultant of these two vectors.
Step-by-step explanation:
The sum of the complex number in rectangular form is -1 +i
Sum of complex numberComplex numbers are written in the form x + iy
Given the complex numbers expressed as:
z1 = 8 - i
z2 = -9 + 2i
Take the sum
z1 + z2 = (8 - 9) + (-i+2i)
z1 +z2 = -1 + i
Hence the sum of the complex number in rectangular form is -1 +i
Learn more on complex number here: https://brainly.com/question/10662770
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Mark has $18.00. What is the greatest number of days he can rent a bicycle? 2d=18 where d represents the number of days of the rental
Answer:
9
Step-by-step explanation:
9x2 is 18, so he can rent a bike for nine days if the rent is $2
What’s 3(2y+6c+4) if y=6 and z=1
Answer:
210
Step-by-step explanation:
Mark bakes 73 cookies for the bake sale. Ann bakes 242 cookies. How many cookies did they bake altogether?
Answer: 315 cookies
Step-by-step explanation: 73+242 = 315
Answer: 315
Step-by-step explanation: 73+242=315
can someone help answer this?
9√2 is squared first.
so its 162.
now according to Pythagoras theorem,
x2+x2=162
2x^2= 162
x^2= 162÷2
x^2= 81
x= √81
x=9
in a right angled triangle, (height)^2 + (base)^2 = (hypotenuse)^2
here we have , height as X and base as X too , so; x^2 + x^2 = (9√2)^2
2(X)^2 = 162
x^2 = 162/2
X^2 = 81
X = √81 = 9
During the basketball season, Cory made 21 of the 60 baskets she attempted. Krista made 16 out of 40 baskets she attempted. Paul made 17 of the 50 baskets she attempted and Sally 11 of the 55 she attempted. Who had the greatest percentages of baskets made?
Given:
Cory made 21 of the 60 baskets she attempted.
Krista made 16 out of 40 baskets she attempted.
Paul made 17 of the 50 baskets she attempted.
Sally 11 of the 55 she attempted.
To find:
Who had the greatest percentages of baskets made?
Solution:
We know that,
[tex]\text{Percentage of baskets made}=\dfrac{\text{Baskets made}}{\text{Total attempts}}\times 100[/tex]
Using this formula, we get
[tex]\text{Cory's percentage of baskets made}=\dfrac{21}{60}\times 100=35\%[/tex]
[tex]\text{Krista's percentage of baskets made}=\dfrac{16}{40}\times 100=40\%[/tex]
[tex]\text{Paul's percentage of baskets made}=\dfrac{17}{50}\times 100=34\%[/tex]
[tex]\text{Sally's percentage of baskets made}=\dfrac{11}{55}\times 100=20\%[/tex]
From the above percentages 40% is maximum.
Therefore, Krista has greatest percentage of baskets made.
If a plane
files 5,000 km, how many meters would this be
Answer:
5
Step-by-step explanation:
Km to m=1000 so 5000÷1000=5
Baxter runs ¾ the length of the backyard every ½ of a minute. Enter the number of lengths of the backyard Baxter runs per minute.
Answer:
Baxter runs 3/2 lengths of the backyard per minute.
Step-by-step explanation:
The question is asking how many times Baxter runs the length of the backyard per minute. We know that he runs 3/4 of the backyard every 1/2 of a minute. This means that he runs 6/4 (simplified to 3/2) per minute.
Which problems can be solved by performing this multiplication? 23×18 Select each correct answer. Sarah mixed 18 ounces of orange juice with 23 ounce of pineapple juice. How many ounces of juice did she have in all? A container held 18 ounces of water. Two-thirds of the water leaked out of the container. How many ounces of water were left in the container? Jordan had 18 coins. Two-thirds of the coins were dimes. How many coins were dimes? Min had 18 quarters. He used 23 of the quarters to play arcade games. How many quarters did Min use?
Answer:
Jordan had 18 coins. Two-thirds of the coins were dimes. How many coins were dimes?
Min had 18 quarters. He used 2/3 of the quarters to play arcade games. How many quarters did Min use?
Step-by-step explanation:
2/3 × 18
Checking all options
Sarah mixed 18 ounces of orange juice with 23 ounce of pineapple juice. How many ounces of juice did she have in all?
Ounces of orange juice = 18
Ounces of pineapple juice = 23
Total ounces of juice = 18 + 23
= 41 ounces
A container held 18 ounces of water. Two-thirds of the water leaked out of the container. How many ounces of water were left in the container?
Total water in the container = 18
Water leaked out = 2/3
Ounces of water left = 18 - 2/3(18)
= 18 - 36/3
= 18 - 12
= 6
Jordan had 18 coins. Two-thirds of the coins were dimes. How many coins were dimes?
Total Number of coins = 18
Dimes = 2/3 of 18
Number of dimes = 2/3 × 18
= 36 / 3
= 12
Min had 18 quarters. He used 2/3 of the quarters to play arcade games. How many quarters did Min use?
Total quarters = 18
Quarters used for game = 2/3 × 18
= 2/3 × 18
= 36 / 3
= 12
What is the area, in square inches, of the shape below? Express your answer as a fraction in simplest form.
The area of the right-angle triangle will be 1/18 square inches.
What is the area of the right-angle triangle?The area of the right-angle triangle is given as,
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
The height of the right-angle triangle is 1/6 inch. And the base length of the right-angle triangle is 2/3 inches. Then the area of the right-angle triangle is given as,
A = (1/2) x (1/6) x (2/3)
A = 2 / 36
A = 1/18 square inches
The area of the right-angle triangle will be 1/18 square inches.
More about the area of the right-angle triangle link is given below.
https://brainly.com/question/16653962
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Is the relationship for Camille’s puppies weight in terms of linear or nonlinear
5log5 (17)What the steps to this problem because I don’t understand
Answer:
8.80
Step-by-step explanation:
u can use a calculator
In the expression 5+9x, which is the constant?
Answer:
The constant in this expression is 5 (btw, a constant is a number on its own)
Retail Sales: HELP! 15 POINTS AND BRAINLIEST
Suppose you have a $5-off coupon at a fabric store. You buy fabric that costs $7.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Answer:
7.5x-5 is equation for graph :)
BRAINLIEST PLEASE
Step-by-step explanation:
6z + 10 = -2 How should I solve it? It's from Simple Equations
Answer: z = -2
Step-by-step explanation:
6z + 10 = -2
add 10 on both sides
6z = -2 -10
6z = - 12
divide 6 on both sides
z = -2
Answer:
z= -2
Step-by-step explanation:
6z+10=-2
-10. -10
6z = -12
÷6. ÷6
z= -2
Please help me on these two
Answer:
1. A
2. A
Step-by-step explanation:
Im pretty sure that is correct
The slope of a line is 1/7 and it passes through the point (21, 14). What is
the equation of the line in point-slope form?*
Answer: the equation of the line is y=1/7x+11
he heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F
Answer:
B. 68.5 & 76.5
Step-by-step explanation:
In order to solve this equation you first need to change your equasion to fit 2 scenarios. So, your 2 equations are x-72.5=4 and x-72.5=-4. From there, you need to solve by adding 72.5 to each equation giving you x=76.5 and x=68.5. 68.5 degrees F is your minimum temperature and 76.5 degrees F is your maximum temperature. I have included a screenshot of my handwritten work included below for those who are visual learners.
Please help WILL GIVE BRAINLIEST PLEASE PLEASE HELP
1. 4x + 6 +2y - 2
2. 4x +8 · y
3. (2 - 4)x + 3 - 2x + 6
4. (2 · 5)x - 4x + 7
Answer:
1. 10
2. 14
3. 9
4. 13
Step-by-step explanation:
how many cups each holding 250ml can be filled from a 2 litre bottle of juice
Answer:
25 glasses
Step-by-step explanation:
HElp for brianliest PELASEEE EHELPPPPPP
Answer:
Perimeter of the given figure is :---
[tex](2n) + (2n) +( n + 5) + (n + 5) + (3n + 3) \\ = 2n + 2n + n + 5 + n + 5 + 3n + 3 \\ = \boxed{9n + 13}✓[/tex]
(9n+13) is the right answerIf you can purchase 4 books $18 Then how many can you buy with $27?
Answer:
6
Step-by-step explanation:
if you divide 18 by 4 you get 4.5, and if you divide 27 by 4.5 then you get six. hope this is right :/
Answer: 6 books
Work: Okay, The first thing I did was find out how much one book costs. To find that out, I divided $18/4, and the answer is $4.50 per book. Now, we add $4.50 until it's $27. I did that, and it was just 2 more books. (4.50 + 4.50 is $9, so add nine dollars to $18, and that would be $27. Then, divide 27/4.5, and you get 6, meaning the 6 books)
Sorry if this was confusing, but I hope I helped you. :)
Patrice and Arnold went to the bank together and checked their account balances Patrice's balance was - 55 and Arnold's was - 56 . Who has a greater debt? Explain using the concept of absolute value.
Answer:
Arnold has greater debt because he owes an extra dollar to the bank
Step-by-step explanation:
use the multiples method to find Least common denominator , then find the sum or difference , please help me understand dis ill mart brainliest
Answer:
25/28
Step-by-step explanation:
3/4+1/7
21+4/28
25/28
Is y=12 x+3 a proportional relationship
Answer:
no
Step-by-step explanation:
A proportional relationship is of the form
y = kx
This is equation is of the form
y = kx+b
They are not the same so it is not a proportional relationship
What is the value of e in the equation?
8(10 - 3) = 2e + 6
A.4
B.25
C.50
D.2
Answer:
b. 25
Step-by-step explanation:
you have to do parenthesis first. so 10-3 =7. 7 x 8 = 56
2×25=50 + 6 would equal 56
so, e = 25
solve the system of equations X-Y = -12 and -8x-4y=-12 by combining the equations
Answer:
x = -3
y = 9
Step-by-step explanation:
you can add the equations after multiplying the first one by 8
8x - 8y = -96 added to -8x - 4y = -96
'x' eliminated; -12y = -108; y = 9
Solve for 'x':
x - 9 = -12
x = -12 + 9
x = -3
If two right triangles each have a 45° angle, then the
triangles must be-
A photo that measure 5 inches in length by 7 inches in width is enlarged to 7.5 inches in length. What is the width?
Answer:
10.5
Step-by-step explanation:
You can use ratios to solve this problem.
The original dimensions of the photo is
5 in. by 7 in.
This can be written as:
5:7
And the next is 7.5:?
Then you can use ratios to solve this.
5:7=
7.5:?
5*1.5=7.5 so you can multiply the other side by the same thing. 7*1.5=10.5
The width is 10.5 inches.
The graph below represents which system of inequalities? (2 points)
Answer:
Top
Step-by-step explanation:
y<-2x+6
y≤x+2
I graphed it.
At 5:00 pm a thermometer shows an outside temperature of 2° F. Then, over the next three hours, the temperature drops 11° F. What integer represents the thermometer reading, in degrees, at 8:00 pm?