Answer: A
Step-by-step explanation:
Treat the real and imaginary parts separately, then combine. Because it is addition, not subtraction, distributing the sign will not make a difference. Remove the parenthesis and group like terms together. Then simplify and put in standard form for imaginary numbers (real first, then imaginary).
2+3i+3-5i
2+3+3i-5i
5+ (-2i)
5-2i
Write an equation of a line that goes thru the points (-2, 6) & (3, -4)
Answer:
y= -2x +2
Step-by-step explanation:
The equation of a line can be written in the form of y= mx +c, where m is the gradient and c is the y-intercept. This form is known as the slope-intercept form.
To find the value of m, use the gradient formula below:
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
[tex]m = \frac{6 - ( - 4)}{ - 2 - 3}[/tex]
[tex]m = \frac{6 + 4}{ - 5} [/tex]
[tex]m = \frac{10}{ - 5} [/tex]
m= -2
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, substitute any pair of coordinates that the line passes through into the equation. Here, I am going to substitute the coordinates (3, -4).
y= -2x +c
When x= 3, y= -4,
-4= -2(3) +c
-4= -6 +c
c= -4 +6
c= 2
Thus, the equation of the line is y= -2x +2.
A customer deposits $1275 in a savings account that pays 4% interest compounded quarterly. How much money will the customer have in the account after 2 years? (Round to the nearest cent-- 2 decimal places)
$13777.00
Step-by-step explanation:
Joe travelled 60 miles in 1 hour 30 minutes.
Work out Joe's average speed.
Answer:
1.5
Step-by-step explanation:
1hour and 30 mins = 90 mins
60miles:90mins that is the ratio
90/60=1.5miles per minute
i think this is the right answer
pls let me know and i hope it helps
Help pls someone help
Answer:
With what?? umm I dont see anythinggg
Please Help...........
plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4
Answer:
y = -3/4x -4
Step-by-step explanation:
Parallel slope = -3/4
(-4,-1)
y - y1 = m(x - x1)
y + 1 = -3/4(x + 4)
y + 1 = -3/4x - 3
y = -3/4x -4
PLEASE HELP QUICK!!! Henry is going to invest in an account paying an interest rate of 4.3% compounded
continuously. How much would Henry need to invest, to the nearest dollar, for the
value of the account to reach $820 in 13 years?
Answer: P ≈ 469
Step-by-step explanation:
Help until 10:15! consider the expression 40 + 24. find the greatest common factor of the two numbers, and rewrite the expression using the distributive property.
Answer:
8(5+3)
hope this helps
y - 9.4 = 5.22
what is the value of y
Answer:
y=14.62
Step-by-step explanation:
Move the constant to the rightCalculateThe histogram shows the number of minutes that users waited to register for classes on a university's online system. According to the histogram, how many users waited 60 minutes or less?
A) 2 students
B) 4 students
C) 5 students
D) 9 students
NO LINKS OR ILL GET ADMINISTRATOR TO DELETE YOU
here is one example of what i mean is in the bubble... :
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(Beginner )
(8 answers )
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(Here's link to the answer: )
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do not use this link ok... or any similar
Answer:
D
Step-by-step explanation:
An angle measures 62.4° less than the measure of its complementary angle. What is the
measure of each angle?
Answer:
28
Step-by-step explanation:
So if it's a complementary angle is equals 90 degrees total. So subtract 62 from 90. 90-62=28
The United States Congress contains 435 representatives and 100 senators. You want to make groups that each have the same number of representatives and senators. What is the greatest number of groups you can make?
Answer:
5
Step-by-step explanation:
The greatest common factor of 435 and 100 is 5, so if you make 5 groups, each group will have 87 representatives and 20 senators.
Helpppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
I will mark you brainliest
If i get the answer to this pleaseeeeeee
This is a important test i need to passs:(
Answer:
2.4.5675/625.92 i will help no f1
Find the measure of each exterior angle of a regular polygon in which the sum of the measures of the interior angles is 2,520 degrees.
Answer:
0 y+o+u+t+u+b+e
Step-by-step explanation:
f(n)=45⋅(4/5)^n−1
complete the recursive formula of f(n)
F(1) = 45
f(n) = f(n-1) * 4/5
Step-by-step explanation:
f(n) = 45 x (4/5)ⁿ⁻¹
f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45
f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²
f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹
Answer:
45
4/5
Step-by-step explanation:
khan academy
Joe spent 1 1/3 hours studying for his math test. Randy studied for the amount of time that Joe did. What fraction of a hour did Randy spend studying?
Answer:
1 1/3
Step-by-step explanation:
Randy studied for the same amount of time so it would be the same answer im not sure if I'm correct but hope this helps
A farmer harvested 1,635 pounds of potatoes. She could buy either small bags that hold 10 pounds of potatoes, medium-sized bags that hold 12 pounds, or large bags that hold 25 pounds. She will use bags that are all the same size and must select one size only.
Which size bag should the farmer use to package the potatoes so the fewest pounds are left over after packaging
Answer:
She should buy the medium sized bags.
PLS HELP I'LL GIVE THE BRAINLEST
Select the correct graph
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles/hour. If x represents the time spent driving and y represents the distance from his aunt's house, which scatter plot could represent this situation?
Answer: The graph on bottom right
Step-by-step explanation:
It’s the only one that correctly depicts the time (6 hours) and distance (300 miles) traveled. Starting at zero miles and zero drive time, it’s the only one that goes through 300 miles over a period of 6 hours.
Answer:
top right
Step-by-step explanation:
sorry if wrong
What is the Solution of the equation y=2x+3
Answer:
let X interchange y and vice versa
X= 2x+3
carry across +3
X-3=2X
carry across 2 (2X is 2 multiple by X when carried across the sign change to division)
so X-3 divided by 2 is = X
could be misinterpreting this question so I'm not entirely sure.
The density, d, of an object can be found
by using the formula d -". where m is the
mass of the object and visits volume. What
is the density of an object that has a mass of
73,430 kilograms and a volume of 7 m??
Find the measure of side b. Round to the nearest whole number.
9514 1404 393
Answer:
143 m
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(33°) = b/(170 m)
b = (170 m)cos(33°) ≈ 142.57 m
The measure of side b is about 143 meters.
Which choice is equivalent to the expression shown below-3(3y-2x)+2(5x-4y)
Answer:
17y+16x
Step-by-step explanation:
-9y+6x+10x-8y
=17y+16x
work out the volume of this hemisphere with diameter 9.6 cm
Answer:
Please refer to the attachment
Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle. 11, 13, 25 acute right obtuse not a triangle
RESPUESTA: no es un triangulo
EXPRICACION
The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle so option (D) is correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180°.
For any triangle, the sum of any two sides must be greater than the then third side.
As per the given sides, 11, 13, 25
11 + 13 < 25
24 < 25 so it will not a triangle.
Hence "The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle".
For more about triangles,
https://brainly.com/question/2773823
#SPJ2
What is the value of b?
Emma buys a house for £250000
She sells the house for £263750
Calculate the percentage profit Emma makes
Answer:
£13750
Step-by-step explanation:
263750- 250000 = 13750
Answer: 5.5%
Step-by-step explanation:
263750 - 250000 = 13750÷ 250000 = 0.055
Multiply by 100 = 5.5%
How many cents make 11 dimes
Answer:
110 pennies or us cents since we are thinking about the overall amount :)
Step-by-step explanation:
Answer:
0.10
Step-by-step explanation:
A builder has an 5-acre plot divided into 1 2 -acre home sites. How many 1 2 -acre home sites are there? please answer soon
Answer:
10
Step-by-step explanation:
5 divided by 1/2 is 10
What is 2/3 to the 3rd power?
List the area of each shape on the lines below. Then list the shapes in order from greatest to least.
Answer:4
Step-by-step explanation: