Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
Find the slope from the two points given: (-4, 2) and (5, 6) *
Answer:
Slope = 4/9
Step-by-step explanation:
x1(-4,2)
x2(5,6)
Slope,
m = (y2-y1)/(x2-x1)
= (6-2)/(5--4)
=4/9
pls answer correct or i will ban you
And I will mark brainlist whoanewers correct
Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".
Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.
Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3
----------------------
To summarize so far, we have these three facts
angle CAB = angle CADAC = ACangle ACB = angle ACDin this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.
------------------------
Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.
It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).
1) Find the distance between -49.75 and 31.5 on a number line.
Answer:
81.25
Step-by-step explanation:
Because you want to know the total distance, calculate how many digits -49.75 is away from 0. It is 49.75 digits away from 0.
Now calculate how many digits 31.5 is away from 0. It is 31.5 digits away from 0.
Finally, add those two distances together so that you know the total distance:
49.75+31.5 = 81.25
Answer:
in the picture
HOPE ITS HELP
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
Identify the coordinates (x₁,y₁) and (x₂,y₂) . ...
Input the values into the formula. (-2,-1) (4,3) the formula is (y1-y2)/(x1-x2)
Subtract the values in parentheses to get 4/6
Simplify the fraction to get the slope of 2/3
help please if you can
Answer:
Ice, ig.
It is made up of the remaining part of the solar system, after all.
Hope it helps you
Please mark as brainliest
I NEEDDD HELPPPPP PLEASEEE
Answer:
#3
Hope this helped! Please give brainliest to let me know <3
Step-by-step explanation:
Presale tickets (p) are each worth $7: represented in the equation as 7p.
Door tickets (d) are each worth $10: represented in the equation as 10d.
They sold 345 tickets, so p+d=345. They collected $2550, so 7p+10d=2550.
Final answer:
(3) [tex]\left \{ {{7p+10d=2550} \atop {p+d=345}} \right.[/tex]
A submarine begins its descent from the surface of the water and dives 20 feet for each minute. What would be the depth of the submarine after 2/3 hours?
Answer:
Distance = speed * time
Convert feet to meter (C units) = about 6
Convert hours to second (C units) = about 2399
Distance = 6 * 2399
= 1439 meters
4721 foot
Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3
Step-by-step explanation:
-2x+5<3
-2x>3-5
-2x>-2
Divide both sides by -2
x>1
Answer:
-2x+5<3
-2x<-2
x<1
which comparison is correct?
140.07 < 140.7
140.07=140.7
140.07 > 140.7
The answer is 140.07< 140.7 I hope I help
Answer:
40.07 < 140.7
step by step explanation:it's just correct I think
please help me with this!
help gggggggggggggggggggggggggggggggggggggg
Answer:
22 units
The correct answer is A
I believe the answer to this is 22 units.
I hope this helps! :D
The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?
Answer:
5,2
Step-by-step explanation:
the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2
What is the vertex of the quadratic function below?
y = 1/2x^2 + x. + 3
A. (-1,5)
B. (1/2,3)
C. (1,3)
D. (-1/,5/2)
Answer:
C
Step-by-step explanation:
Into the thick of it
helppppppp pleaseeee f/4 - 5 = -9
Answer:
Step-by-step explanation:
f/4-5=-9
f-4*5/4=-9
f-20/4=-9
f-20=-9*4
f-20=-36
f=-36+20
f=-16
Answer:
f/4 - 5 = -9
f-20/4=-9
f-20=-9×4
f-20=-36
f=-36+20
f=-16
its a very simple question... wanna get brainliest. if so answer this ..
Did I colored the parts correct ... should the denominator be 4 instead of 2..???
What is x? Please help quickly!
Answer:
27 1/3
Step-by-step explanation:
Since both angles form a straight line of 180, you can set your formula up as
180=4x+2x+16
180-16=6x
164=6x
164/6=x
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?
Your answer should include both the mathematical proof and a written statement.
Answer:
If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.
Step-by-step explanation:
Mathematical Proof :
For proof, we should test it out.
To find the total amount of marbles, we add up all the different colors in the bag.
5 + 5 + 5 + 5 = 20
Drawing 2 blue marbles while replacing the first probability :
The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :
5/20 * 5/20 = 25/400 = 1/16
Drawing 2 blue marbles while NOT replacing the first probability :
The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.
So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.
Written Statement :
If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
Find the y-intercept the line on the graph. Plz I need the credit
Answer:
4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at y = 4
Write the equation of the parabola in vertex form.
Answer: Hi! The answer is, y=-(x-2)^2
Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!
Which of the following graphs represents a function? Graph a or b
Answer:
graph b represents a function.
Answer:
graph b
Step-by-step explanation:
Lawrence makes tomato cages out of wire. He has 48 1/3 yards of wire and uses 6 3/4 yards on each tomato cage. How many tomato cages can Lawrence make with the wire he has?
A. 6
B. 7
C. 8
D. 9
The ratio of sheep to cows in a field is 3:8. The ratio of cows to pigs in the same field is 5:6. What is the ratio of sheep to cows to pigs?
Answer:
3:5:6
Step-by-step explanation:
because there are 3 sheep 5 vows and 6 pigs
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Of every 5 CDs produced in a
factory, 2 are scratched. If
2,200 CDs were produced,
how many were scratched?
Answer:
880
Step-by-step explanation:
2/5 times 2200
Answer:
880 scratched CD's
Step-by-step explanation:
2/5 = x/2,200
5x = 4,400
/5 = /5
x = 880
-20=-8(a+4)-5(1-5a)
What is a
Answer:
a=1
Step-by-step explanation:
-20=-8(a+4)-5(1-5a)
Distribute
-20 = -8a -32 -5 +25a
Combine like terms
-20 =17a -37
Add 37 to each side
-20+37 = 17a-37+37
17 = 17a
Divide by 17
17/17 = 17a/17
1= a
What is the Tenth term of 3n+2
