The a + bi form of the given expression is 34-36i
What is complex numbers?A complex number is a number of the form a + bi, where a and b are real numbers.
Given is a complex numbers, (-3+2i)(-6 - 8i)
(-3+2i)(-6 - 8i) = 18-24i-12i+16
= 34-36i
Hence, The a + bi form of the given expression is 34-36i
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Pretty please help!!!
The table shows the relationship of how many pounds of apples are needed to make a certain number of pies:
Number of pies: 5 10 15
Pounds of apples: 2 4 6
Solve for x:
8x – 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x=1
D. = 9
Answer:
x=-4
Step-by-step explanation:
Answer: A
Step-by-step explanation: Simplify 5(2x+1) into 10x+5. bring it to the other side; -2x-8=0. -2x=8 divide 8 by -2 to get x alone. x=-4
Each of the following trinomials has a leading coefficient that is prime. Using a guess-and-check technique,
write each trinomial in its factored form. Show each guess and its check.
(a) 5x² - 41x+8
(b) 3x² + 4x - 20
I
(c) 2x - 29x-15
(d) 7x? +39x + 20
Answer:
14
Step-by-step explanation:
answer the question in the photo , its the easy one please help me ;((
9514 1404 393
Explanation:
The problem statement tells you what to do.
25^(n-1) +125 -6·5^n = 0 . . . . . subtract 6·5^n
(5^2)^(n-1) -6·5^n +125 = 0 . . . . express 25 as a power of 5
5^(2n-2) -6·5^n +125 = 0 . . . . . eliminate the double layer of exponent
(5^-2)(5^n)^2 -6·5^n +125 = 0 . . . . . use 5^n where possible
(1/25)y^2 -6y +125 = 0 . . . . . . . substitute y = 5^n
y^2 -150n +3125 = 0 . . . . . . . . . multiply by 25
_____
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
a^-b = 1/a^b
Help please
Use the following figure to find the answer
A car travels 180 miles in 3 hours. how far did it travel in 1 hour
Answer:
60
Step-by-step explanation:
Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0).
If D is the midpoint of BC, the the length (distance) of AD.
write the midpoint
write the distance
Answer:
Point D: [tex](0,-4, 1 )[/tex]
d = √41
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Midpoint Formula [3D]: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )[/tex]Distance Formula [3D]: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A(1, 2, -1)
Point B(-3, -6, 2)
Point C(3, -2, 0)
Step 2: Find Point D
Simply plug in your coordinates B and C into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{-3+3}{2},\frac{-6-2}{2}, \frac{2+0}{2} )[/tex]Add/Subtract: [tex](\frac{0}{2},\frac{-8}{2}, \frac{2}{2} )[/tex]Divide: [tex](0,-4, 1 )[/tex]Step 3: Find distance d
Simply plug in the 2 coordinates A and D into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(0-1)^2+(-4-2)^2+(1+1)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-1)^2+(-6)^2+(2)^2}[/tex]Exponents: [tex]d = \sqrt{1+36+4}[/tex]Add: [tex]d = \sqrt{41}[/tex]When Ryan started a daily exercise routine, he lost
18% of his weight. He now weighs 180.4 pounds.
of What was Ryan's weight before he began to exercise?
Please help me and show your work on how you got it so I can learn please):!
Which linear inequality is represented by the graph?
Answer:
C
Step-by-step explanation:
You are right
Help me please I neeed help heree
Answer: 1/12
i think maybe
Which graph is defined by the function given below?
y= (x+3)(x +3)
-10
-10+
10-
A
B.
C
D.
Step-by-step explanation:
Since y = (x + 3)(x + 3), the root is x = -3.
Only Graph A touches the x-axis once.
6) A climber is on a hike. After 2 hours she is at an altitude of 400 feet. After 6 hours, she is at an
altitude of 700 feet. What is her rate of change?
Answer:
Her rate of change is 75 ft/h
Step-by-step explanation:
Rate of Change
It measures how one quantity varies with respect to another. The second variable usually is the time.
The climber is hiking. We are given two points of her progress: At 2 hours, she is at 400 ft. This corresponds to the point (2,400).
At 6 hours, she is at 700 ft. This is the point (6,700)
The rate of change is the slope between these two points or the quotient of the variations of each variable:
[tex]\displaystyle m=\frac{700\ ft-400\ ft}{6\ h-2\ h}[/tex]
[tex]\displaystyle m=\frac{300\ ft}{4\ h}[/tex]
[tex]m=75\ ft/h[/tex]
Her rate of change is 75 ft/h
Stephen imports cars from the USA. He sells them in the UK. He has just bought a car in the USA costing $24 000. It cost him £900 to import the car to the UK. The exchange rate is £1 = $1.45. Stephen needs to make a profit of 20% on his total costs.
Work out the least amount that Stephen must sell the car for in the UK. Give your answer in pounds.
Answer:
£20942.04
Step-by-step explanation:
The total cost of the car includes its purchasing price and the cost of importing it into the UK.
Cost of the car in pounds = 24000/1.45 = £16,551.7
Total cost of the car = £16,551.7 + £900 = £17,451.7
If the profit made is 20%
Then;
Profit % = selling price - cost price/cost price * 100/1
Let selling price = SP
Cost price = CP
20 = SP - CP/CP * 100/1
20 = SP - 17,451.7/17,451.7 * 100/1
17,451.7 (20) = 100(SP - 17,451.7)
349034 = 100SP - 1745170
349034 + 1745170 = 100SP
2094204 = 100SP
SP = £20942.04
(c−9)2−(4c−2)2 factor
Answer:
−2(3c + 7)
Step-by-step explanation:
Factor the polyomial
can commas be used to separate the ones, tens and hundreds
Answer: no? because the comma goes after every three numbers.
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $2220 and his stock in Company B was worth $3100. The stock in Company A has increased 25% since last year and the stock in Company B has increased 7%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).
The total percentage increase in the investor's stock account is 14.5%.
What is the percentage?The percentage refers to the portion or ratio of a variable concerning another.
Like ratios, percentages are stated with the percentage sign (%). We also use percentages to show proportions.
For instance, the percentage increase in the investor's stock account is derived below to show how much the growth in value is compared to the original investments.
Whereas the dollar increase is $772, in percentage terms, it is 14.5%.
Data and Calculations:Company A Company B Total
Investments $2,220 $3,100 $5,320
Increase in value 25% 7%
Dollar increase $555 $217 $772
Total percentage increase = 14.51 % ($772/$5,320 x 100)
Thus, the total percentage increase in the investor's stock account is 14.5%.
Learn more about percentages at brainly.com/answer expert verified
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Round each addend to the nearest whole number and estimate the sum.
19.43 + 11.5 + 3.08
35
36
33
34
Step-by-step explanation:
a fraction of it and the regular answer it is 33.
Answer:
34
Step-by-step explanation:
19.43 will round to 19
11.5 will round to 12 and
3.08 will round to 3
I hope this helps
Mr. kim travels 32 weeks a year for work. He is home the other 20 weeks. There are 7 days in a week. Which of the following basic facts can Mr. Kim use to help find the number of days he is home.
A. 2x7
B. 3x7
C. 32+7
D. 20+7
Answer:20 * 7 (20 times/ multiplied by 7)
Step-by-step explanation: home is 20weeks with 7 days each. So, 20 times 7
In other words
Count seven days 20 times
who is willing to help me with my work for money ?
Answer:
sure, but not sure if this is allowed on brainly...
also this is just tutoring
solve - 9/2y=27/2 for y.
Answer:
It’s y = 3
Step-by-step explanation:
Solve for y by simplifying both sides of the equation, then isolating the variable.
Helpppppppppppppp ASAP
Answer:
x+8
Step-by-step explanation:
if you're wrong its your fault
f(x) is a function.
A. True
B. False
Answer:
False, since x values cannot have more than one y value.
Step-by-step explanation:
False, since x values cannot have more than one y value.
Question 4
Which equation has a graph perpendicular to the graph 3y = 2x - 9?
3x + 2y = 7
2x + 3y = 4
y = 2/3x - 1
y = 2x + 5
Answer:
slope of the line 3y = 2x - 9 , m = 2/3
therefore slope of line perpendicular to given line
m2 = -1/m1 = -3/2
then the general equation of line with slope -3/2 is given by
y = -3/2 ( x ) + c
where c = y-intercept which can be found when more data is provided
Solve for x and y. (5x+2) y 6x
Answer:
x=8
y=138
Step-by-step explanation:
5x+2+6x=90
11x+2=90
11x=88
x=8
y+5x+2=180
y+40+2=180
y+42=180
y= 138
To make 2 dozen brownies, Jake needs to use 8 tablespoons of butter. How many tablespoons of butter are used in one dozen?
Answer:
uh 4?
Step-by-step explanation:
8/2=4
Your payment is $375 per month for 36 months and you made a $2,500
Answer:
375 times 36
Step-by-step explanation:
I need help with this problem.
PLEASE HELP it’s MULTIPLE CHOICE i’ll mark BRAINLIEST AND I ADDED EXTRA POINTS!!
Answer:
Easy b
Step-by-step explanation:
Because
Question 9 of 10
Which of the following is not found on a check?
OA. The routing number
OB. The account number
OC. The account owner's Social Security number
OD. The account owner's name and address
SUBMITTED
Answer: B. ACCOUNT OWNERS SOCIAL SECURITY NUMBER.
Step-by-step explanation:
The length of a rectangle is 5cm more than width. Find expression fo the perimeter of the rectangle in terms of the w
Answer:
Perimeter [tex]=4w+10[/tex]
Step-by-step explanation:
Let [tex]w[/tex] = width of the rectangle.
From the information "length of a rectangle is 5cm more than width", we can write:
Length = [tex]w+5[/tex]
- - - -
Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)
[tex]=2(w+5)+2w[/tex]
[tex]=2w+10 + 2w[/tex]
[tex]=4w+10[/tex]
∴ The expression of the perimeter of the rectangle in terms of [tex]w[/tex] is [tex]4w+10[/tex].
Hope this helps :)
