Answer:
We can treat i as if it was a variable/symbol, with the caveat that
i * i = -1
[6]
(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i
[7]
-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i
[8]
2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i
[9]
(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i
Answer:
6.) 1 - 19i
7 ) -8 - 10i
8.) -6 + 8i
9.) 57 + 9i
not sure if its the right answer
jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy
Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height
Answer:
1
Step-by-step explanation:
5(x+1) = 12
5(x+1) = 5x + 12
5(x+1) = 5x + 5
5(x=1) = 0
what one is an infinite solution
Answer:
[tex]2 + \frac{b}{5} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
if you multiply the number by to end at 4 the results you gave will be the same of three times the number decreased by 7
Answer:
11
Step-by-step explanation:
Let the number be x,
2x+4 = 3x-7
Collect like terms
2x-3x= -4-7
-x =. -11
Multiply both sides by -1
x. =. 11
Oh and I think you made a typo and missed the 2, " if you multiply the number by 2 to end at 4..........."
Hope This Helps :)
Are these geometric shapes ASA, SSS, SAS or None?
I WILL GIVE BRAINLIEST TO BEST ANSWER!
refer to image.
Answer:
4)ASA
6) ASA
2) SSS
8) SAS
Step-by-step explanation:
numbers 4 and 6 are ASA because we have 2 congruent angles and one congruent side. Also, they r in the pattern angle, side, angle. Which makes it ASA
number 2 is SSS because all 3 sides are congruent
number 8 is SAS because because there are 2 congruent sides and one congruent angle. They are seen in the pattern side, angle, side. Which makes it SAS
hope that helps and I apologize about earlier
have a wonderful day!
Answer:
2) None, 4) ASA, 6) ASA, 8) ASAStep-by-step explanation:
#2We have two parallel sides.
This gives us two pairs of alternate interior angles and one pair of vertical angles.
In total 3 congruent angles. This is not enough to state congruence.
None
#4We have two pairs of congruent angles and an included common side.
This is good to state the triangles are congruent by ASA
#6Similarly to above question, we have two pairs of congruent angles and an included common side.
This is good to state the triangles are congruent by ASA
#8We have one pair of congruent sides and the parallel sides gives us two pairs of alternate interior angles and a pair of vertical angles.
We can state the triangles are congruent by ASA as the congruent side is included.
The diameters of a circle is 7m. Find its area to the nearest tenth?? Help please
Area =[tex]\pi r^{2}[/tex]
The diameter is double the length of the radius
7 ÷ 2 = 3.5
3.5 × 3.5 = 12.25
[tex]12.25\pi[/tex] = 38.4845100064751
38.4845100064751 rounded to the nearest tenth is 38.5
Answer:
A = 38.5 sq meters
Step-by-step explanation:
A = πr²
since diameter is 7, then radius is 7/2
A = π(7/2)²
A = 38.48
A = 38.5 rounded to nearest tenth
the area of a triangle with vertices at (-3,-2),(3,-2),(1,2) is
please provide small explanation
Answer:
12
Step-by-step explanation:
First, you have to graph (which I sadly cannot provide an image of)
Then look at the vertical height which is 4, the how long it is which is 6.
So A=1/2*6*4=12
15 points in 4 quarters
Is this u asking a question or just saying 15 points in 4 quarters?
Anyone Can you please check the already done one, and the rest I just need help!!! please:
Answer:
yes your math seems about right but wait for someone else to respond also because im not completely sure
Step-by-step explanation:
How fast must a jet travel to reach its destination
2,064 miles away in 4 hours?
Convert the following from factored form to standard form.
f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)
Answer:
the mmic is back still swords rund eep
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
C. San Francisco
Step-by-step explanation:
In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.
Answer:
San Fransisco
Step-by-step explanation:
Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.
Can someone Please help me on this easy math problem
Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. What are the mean and standard deviation of X?
Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The mean of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
Six percent of computer chips produced by Cheapo Chips are defective, hence [tex]p = 0.06[/tex].Each month a random sample of 200 chips manufactured that month are taken, hence [tex]n = 200[/tex]Then:
[tex]E(X) = np = 200(0.06) = 12[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at https://brainly.com/question/12473640
PLS ANSWER AS SOON AS POSSIBLE
PLSSSS
Step-by-step explanation:
<B=180°-70°-50°=60°
hope this helps you.
Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, â€"16)? f(x) = â€"(x â€" 2)(x â€" 4) f(x) = â€"(x 2)(x 4) f(x) = â€"2(x â€" 2)(x â€" 4) f(x) = â€"2(x 2)(x 4).
To find the equation, for the x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16) we have to find the nature of the curve.
The correct option is f(x) = –2(x – 2)(x – 4).
Given:
The x-intercepts at (2, 0) and (4, 0).
The y-intercept of (0, –16).
The nature of the graph is quadratic curve. Write the general equation for x-intercept.
[tex]y=a(x-2)(x-4)[/tex]
Where is [tex]a[/tex] number
Substitute 0 for [tex]x[/tex].
[tex]y=a(0-2)(-4)\\y=8a[/tex]
We have y-intercept of (0, –16).
[tex]-16=8a\\a=-2[/tex]
The equation would be,
[tex]f(x) = -2(x - 2)(x - 4).[/tex]
Thus, the correct option is f(x) = –2(x – 2)(x – 4).
Learn more about equitation here:
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add 17 divied by 20 + 7 dived by 20 help
Answer:
1.2
Step-by-step explanation:
17 ÷ 20 + 7 ÷ 20
I hope this helps!
is zero a rational number?
Answer:
yes
Step-by-step explanation:
we know that every integer is a rational number and Zero can be represented as the ratio of two integers.
the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago
1. Simplify 3(2x - y) + 6y.
5x + 7y
6x + 3y
2x + 3y
6x - 7y
Answer:
6x + 3y
Step-by-step explanation:
3(2x - y) + 6y ← distribute parenthesis by 3
= 6x - 3y + 6y ← collect like terms
= 6x + 3y
[tex]\huge\boxed{Hi\: there!}[/tex]
Here, we use the Distributive Property:
[tex]a(b+c)=ab+ac[/tex]
3(2x-y)+6y=6x-3y+6y
Combine like terms:
6x+3y
[tex]\huge\boxed{Therefore,\: our \:equation\: is:6x+3y}[/tex]
[tex]\huge\bf{Good \:luck \:with \:your \: studies! :)\\~Unknown Dreamer}[/tex]
what are 43.6÷8 use compatible numbers using the quotient
Answer:
7.3
Step-by-step explanation:
PLZ HELP ME
NO LINKS PLZ
Answer:
the domain is -11,10 but i didnt know if you wanted that or not
Step-by-step explanation:
Justin spends $15 at the grocery store. He buys a loaf of bread for $3 and buys 112 pounds of cheese. What is the price per pound of cheese?
Answer:
the answer is
Step-by-step explanation:
p, price per pound of cheese
The required price per pound of cheese is approximately $0.11.
What is the definition of simplification?The process of removing unnecessary terms, factors, or operations from an expression using arithmetic and algebraic rules is known as simplification.
Here,
If Justin spent $15 at the grocery store and the loaf of bread cost $3, then the amount he spent on cheese is:
$15 - $3 = $12
To find the price per pound of cheese, we need to divide the total cost of the cheese by the number of pounds. We are given that Justin bought 112 pounds of cheese, so we can set up the following equation:
price per pound of cheese = total cost of cheese/number of pounds of cheese
Plugging in the values we know, we get:
price per pound of cheese = $12 / 112 pounds
price per pound of cheese = $0.11
Therefore, the price per pound of cheese is approximately $0.11.
Learn more about simplification here:
https://brainly.com/question/12501526
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help me no bots I need help pls give me all 3 answers!
Answer:
y= -10x+70
slope being -10 and y-intersept being 70
Step-by-step explanation:
Answer:
Equation: y=-10x+70
Slope: -10
Y-Intercept: 70
Hope this helps!
Step by step? Just ask.
Doubt? --> comment section.
Happy Holidays! (✿◡‿◡)
dont want to fail gosh please help
Answer:
11X + 3 is correct
Step-by-step explanation:
first add the 9x and 2x= 11x
and then -2 + 5 = 3
Thus 11x + 3
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is the change of rate always constant
In mathematics, a constant rate of change is a rate of change that stays the same and does not change.
what does c equal : c - 12 =-4
Answer:
c = 8
Step-by-step explanation:
c - 12 = -4
Add 12 on both sides
c = 12 + (-4)
c = 8
Write the equation of the line parallel to y - 3x=4 and containing (3,10)
HELP ASAP PLEASE?!
The graph at the right shows Jeremy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?
A) 350 miles
B) 400 miles
C) 500 miles
D) 550 miles
Answer:
The answer is (C) because every time the hour goes up, the mile goes up by 5 so if you continue to count up by 5's you would get 500 at 10.
what does relatively prime mean in math?
Answer:
When two numbers have no common factors other than 1.
Step-by-step explanation:
In other words there is no value that you could divide them both by exactly (without any remainder).
21 and 22 are relatively prime:
• The factors of 21 are 1, 3, 7 and 21
• The factors of 22 are 1, 2, 11 and 22
(the only common factor is 1)
But 21 and 24 are NOT relatively prime:
• The factors of 21 are 1, 3, 7 and 21
• The factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24
(the common factors are 1 AND 3)
Relatively Prime is also called "coprime" or "mutually prime".
Here we see that 12 and 16 are NOT relatively prime
In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP AHHHHH
Applying the inscribed angle theorem, the missing measures are:
1. m∠EDA = 29°
2. m∠BDC = 21°
3. m∠BDC = 21°
4. measure of arc AB = 80°
5. m∠AEB = 40°
6. m∠AEB = 29°
7. m∠BAC = 21°
8. measure of arc ED = 90°
9. m∠ECD = 45°
10. m∠ACB = 40°
11. m∠EBD = 45°
12. m∠ADB = 40°
13. m∠CAD = 45°
14. m∠EAB = 111°
15. m∠EBC = 90°
What is the Inscribed Angle Theorem?The inscribed angle theorem states that, if ∠a is an inscribed angle, that intercepts arc AB, therefore: m∠a = ½(measure of arc AB).
The diagram showing circle P is attached below. We are given the following:
measure of arc EA = 58°
measure of arc BC = 42°
measure of arc CD = 90°
Thus:
1. m∠EDA = ½(measure of arc EA)
m∠EDA = ½(58)
m∠EDA = 29°
2. m∠BDC = ½(measure of arc EA)
m∠BDC = ½(42)
m∠BDC = 21°
3. m∠BEC = ½(measure of arc BC)
m∠BDC = ½(42)
m∠BDC = 21°
4. measure of arc AB = 180 - 58 - 42
measure of arc AB = 80°
5. m∠AEB = ½(measure of arc AB)
m∠AEB = ½(80)
m∠AEB = 40°
6. m∠ECA = ½(measure of arc EA)
m∠AEB = ½(58)
m∠AEB = 29°
7. m∠BAC = ½(measure of arc BC)
m∠BAC = ½(42)
m∠BAC = 21°
8. measure of arc ED = 180 - 90
measure of arc ED = 90°
9. m∠ECD = ½(measure of arc ED)
m∠ECD = ½(90)
m∠ECD = 45°
10. m∠ACB = ½(measure of arc AB)
m∠ACB = ½(80)
m∠ACB = 40°
11. m∠EBD = ½(measure of arc ED)
m∠EBD = ½(90)
m∠EBD = 45°
12. m∠ADB = ½(measure of arc AB)
m∠ADB = ½(80)
m∠ADB = 40°
13. m∠CAD = ½(measure of arc CD)
m∠CAD = ½(90)
m∠CAD = 45°
14. m∠EAB = ½(180 + 42)
m∠EAB = ½(222)
m∠EAB = 111°
15. m∠EBC = ½(measure of arc EDC)
m∠EBC = ½(180)
m∠EBC = 90°
Learn more about the inscribed angle theorem on:
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