Answer:
B
d(P,Q) = sqrt((xO-xQ)^2 + (yP-yQ)^2) = sqrt(16+9) = 5
Please help I do not understand thanks
helppppppppp
what is -12x<60
Answer:
x > -5
Step-by-step explanation:
-12x < 60
To solve the equation for x, we want x to be by itself on one side. Let's start by dividing both sides by -12:
-12x/-12 < 60/-12
When dividing or multiplying by a negative number, we have to turn around the inequality sign, so now we have:
x > 60/-12
And 60/-12 = -5, so:
x > -5
How do I determine z ∈ C:
[tex](\frac{3-2i}{1+i} - \frac{5+3i}{1+2i} )z = \frac{1}{2} - \frac{2}{5}i[/tex]
Simplify the coefficient of z on the left side. We do this by rationalizing the denominators and multiplying them by their complex conjugates:
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3-2i}{1+i}\cdot\dfrac{1-i}{1-i} - \dfrac{5+3i}{1+2i}\cdot\dfrac{1-2i}{1-2i}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{(3-2i)(1-i)}{1-i^2} - \dfrac{(5+3i)(1-2i)}{1-(2i)^2}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 2i - 3i + 2i^2}{1-(-1)} - \dfrac{5 + 3i - 10i - 6i^2}{1-4(-1)}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{3 - 5i + 2(-1)}2 - \dfrac{5 - 7i - 6(-1)}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2 - \dfrac{11 - 7i}5[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{1 - 5i}2\cdot\dfrac55 - \dfrac{11 - 7i}5\cdot\dfrac22[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = \dfrac{5 - 25i - 22 + 14i}{10}[/tex]
[tex]\dfrac{3-2i}{1+i} - \dfrac{5+3i}{1+2i} = -\dfrac{17 + 11i}{10}[/tex]
So, the equation is simplified to
[tex]-\dfrac{17+11i}{10} z = \dfrac12 - \dfrac{2i}5[/tex]
Let's combine the fractions on the right side:
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac12\cdot\dfrac55 - \dfrac{2i}5\cdot\dfrac22[/tex]
[tex]\dfrac12 - \dfrac{2i}5 = \dfrac{5-4i}{10}[/tex]
Then
[tex]-\dfrac{17+11i}{10} z = \dfrac{5-4i}{10}[/tex]
reduces to
[tex]-(17+11i) z = 5-4i[/tex]
Multiply both sides by -1/(17 + 11i) :
[tex]\dfrac{-(17+11i)}{-(17+11i)} z = \dfrac{5-4i}{-(17+11i)}[/tex]
[tex]z = -\dfrac{5-4i}{17+11i}[/tex]
Finally, simplify the right side:
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{5-4i}{17+11i} \cdot \dfrac{17-11i}{17-11i}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{(5-4i)(17-11i)}{17^2-(11i)^2}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44i^2}{289-121(-1)}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{85 - 68i - 55i + 44(-1)}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 123i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{41 - 41\cdot3i}{410}[/tex]
[tex]-\dfrac{5-4i}{17+11i} = -\dfrac{1 - 3i}{10}[/tex]
So, the solution to the equation is
[tex]z = -\dfrac{1-3i}{10} = \boxed{-\dfrac1{10} + \dfrac3{10}i}[/tex]
A stockbroker estimates that at the end of the year, there is a 40% chance a stock will be worth $50,
a 35% chance it will be worth $60 and a 25% chance it will be worth $70. What expected value
does this broker assign to this stock's end-of-the-year price?
The expected value that this broker assign to this stock's end-of-the-year price is $58.50.
Using this formula
Expected value=Stock worth at $50+ Stock worth at $60+ Stock worth at $70
Where:
Stock worth at $50=40% chance
Stock worth at $60=35% chance
Stock worth at $70=25% chance
Let plug in the formula
Expected value=(40%×$50)+($35%×$60)+($25%×$70)
Expected value=$20+$21+$17.5
Expected value=$58.50
Inconclusion the expected value that this broker assign to this stock's end-of-the-year price is $58.50.
Learn more here:
https://brainly.com/question/12834805
i'll mark brainliest, thanks in advance!
Answer:
not enough information.
Step-by-step explanation:
We know one side and the vertical angle. We do not have enough information to determine if the triangles are congruent.
Determine f(4)+2×g (2)
Answer:
4f+4g
Step-by-step explanation:
A recipe for pasta dough says, “Use 150 grams of flour per large egg.”
How much flour is needed if 6 large eggs are used?
How many eggs are needed if 450 grams of flour are used?
Answer:
1. 900 grams
2. 3 eggs
Step-by-step explanation:
1. 150 x 6 = 900
2. 450 / 150 = 3
Answer:
900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.
Step-by-step explanation:
First, multiply the number of large eggs by grams per large egg: 150×6=900
Next, divide the number of grams of flour by grams per large egg: 450/150=3
What is the slope of the line ?
The slope at the line would be the 360 point turn.
Help please!! I will mark brainilist and give a lot of points.
This is Pythagorean theorem.
Formula: a^2+b^2=c^2
When I say ^2 I mean to the power of 2.
The question is asking me to solve for a.
Then give me b and c which is b = 17 1/3 and c = 16.
How do I solve for a when b is greater than c? Won’t that give me a negative a? You can’t have a negative a right?
Unless I’m wrong.
Please help my solve this!!!!! :D
Answer:
a = 23.588
Step-by-step explanation:
a^2 = 17 1/3^2 + 16^2
a^2 = 300.4 + 256
a^2 = 556.4
a = 23.588 (I rounded to thousandths but you can round to whatever)
Hello there,
I just looked into the question and you are absolutely right whatever you inferred.I think the question might be wrong.The value of c should be greater than b.I guess it will like this:[tex]b = 16 \: \: \: c = 17 \frac{1}{3} [/tex]The values should be like this.I am solving the equation by this:[tex] {a}^{2} = {c}^{2} - {b}^{2} \\ = > {a}^{2} = {(17 \frac{1}{3}) }^{2} - {(16)}^{2} \\ = > {a}^{2} = {( \frac{52}{3} )}^{2} - {(16)}^{2} \\ = > {a}^{2} = ( \frac{52}{3} - 16)( \frac{52}{3} + 16) \\ = > {a}^{2} = ( \frac{52 - 48}{3} )( \frac{52 + 48}{3} ) \\ = > {a}^{2} = \frac{4}{3} \times \frac{100}{3} \\ = > {a}^{2} = \frac{400}{9} \\ = > a = \sqrt{ \frac{400}{9} } \\ = > a = \frac{20}{3} \\ = > a = 6 \frac{2}{3} [/tex]So, the value of a is [tex]a = 6 \frac{2}{3} [/tex]Hope you could get an idea from it.
Doubt clarification - use comment section.
1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?
Answer:
2:1 or 2
Step-by-step explanation:
*** (Ratios can be written as " a : b", or can be written as a fraction " a / b".
>> therefore 10/5 can be simplified to 2/1 )***
For every 10 notebooks, there are 5 ballpens.
Therefore, for every 2 notebooks there is 1 ballpen (The simplification).
EXTRA:
**Also remember that the ratio of notebooks to ballpens cannot be reversed into ballpen to notebook ratio, because this would change the meaning.
2/1 is not the same as 1/2 **
Someone pls help me with these worksheets >.<
(Please answer properly, if u don't know, just ignore so someone who knows can answer)
Answer:
gsdddddddddddddddddddddddddddd
Step-by-step explanation:
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate).
4 sin(2θ) − 2 sin(θ) = 0
Answer:
θ = πk, 1.318+2πk, 4.965+2πk
Step-by-step explanation:
4sin(2θ) − 2sin(θ) = 0
8sin(θ)cos(θ) - 2sin(θ) = 0
2sin(θ)[4cos(θ)-1] = 0
2sin(θ) = 0
sin(θ) = 0
θ = πk
4cos(θ)-1 = 0
4cos(θ) = 1
cos(θ) = 1/4
θ ≈ 1.318+2πk, 4.965+2πk
Therefore, θ = πk, 1.318+2πk, 4.965+2πk
the sum of any 2 intergers is either postive or negative. true or false
Answer:
True.
Hope this helps.
The length of a rectangular rug is 6 ft. more than the width. The perimeter is 40ft. find the length and the width of the rug.
Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames
Answer:
36:27
Step-by-step explanation:
18 - 3 = 15$ for each picture frame
15$ (picture frames) : 18$ (albums)
4 picture frames : 3 albums = 114$
1026 divided by 114 = 9
4x9 = 36 picture frames
3x9 = 27 albums
36:27
Answer:
Marie bought 36 frames and 27 albums
Step-by-step explanation:
So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:
15f + 18a = 1026
Now add in the ratio
(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026
114x = 1026
x = 9
Now this means the ratio fit 9 times into the end number
Picture Frames: 4 x 9 = 36
Albums: 3 x 9 = 27
And to check we plug back in
15(36) + 18(27) = 1026
540 + 486 = 1026
1026 = 1026
If i have a silver necklece at the price of 26 $ and its 50 percent of what was the orginal price.
50%=100%/2
26*2 = 52
Original price is 52 dollas
Answer:
52
Step-by-step explanation:
please mark brainlest
What is the equation in point-slope form of a line that passes through the points (−4, −1) and (5, 7) ?
y−1=8/9(x−4)
y+1=8/9(x+4)
y+4=9/8(x+1)
y+1=8/7(x+4)
Answer:
y+1=8/9(x+4)
Step-by-step explanation:
Tell me if you want one!
Find the sum of 5x + 6 and -11x - 9
f(x)=ax^2 +bx +c solve: heigh 275 width 290
Answer:
800 i think
Step-by-step explanation:
no link no bot right please
Answer:
27pi in^3
Step-by-step explanation:
the volume for a cone is (1/3)pi*r^2*h. r=3in, h=9in. so the volume is (1/3)*pi*3^2*9=27pi
show your solution and answer the 4 questions.
Answer:
Step-by-step explanation:
1. When the number of kilograms of paper is doubled, the points will be doubled
2. 300÷ 5 = 60
They have to collect 60 Kg of papers to earn 300 points.
3) P = 5*n
P = 5n
4) We are not only reducing the waste, the collected paper can be reused or can be sent to recycling centers.
NEED HELP ASAP PLS
Find the equation of the line that has a slope of 3 and goes through the point (3,2)
formula: y=mx+b
Answer:
y=3x-7
Step-by-step explanation:
When I visit my brother it is a 532 mile round trip. If I visit my brother once a month how many miles would I travel in a year round the miles to the nearest thousands to estimate the answer
Answer:
6384 is the exact answer.
6000 is the answer rounded to the nearest thousand
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
532 X 12 = 6384 rounded would be 6000 miles a yr
BIG IDEAS MATH
#6 i
pl
CRITICAL THINKING Seven out of every 8 students surveyed owns a bike. The difference between the number of students
who own a bike and those who do not is 72. How many students were surveyed?
A total of
students were surveyed.
I want the answer to be explained for a 6th grader
Answer:
9
Step-by-step explanation:
72 divided by 8 equals 9. So 9 students were surveyed.
Marking as brainliest rn ! Write the congruent statement
Answer:
Same thing here as the last question, just matching congruent angles.
1. ΔXZY ≅ ΔQRP
2. ΔQRS ≅ ΔSCD
3. ΔGHI ≅ ΔGHT
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Answer:
1.) ΔXZY ≅ ΔQRP
2.) ΔQRS ≅ ΔSCD
3.) ΔGHI ≅ ΔGHT
Hope this helps!
a stand at the farmer's market sells different types of apples as shown in
the table. Which type of apple costs the least per pound?
Answer:
C
Step-by-step explanation:
Consider the functions f(x) and g(x). The function f(x)=2x-5 and g(x)= -f(x+1)+3. Describe the three transformations that are performed on f(x) to create g(x).
A.
1.
2.
3.
B. Sketch a graph of g(x):
Answer: 3
Step-by-step explanation:
A construction crew needs to pave a road that is 207 miles long. The crew paves 8 miles of the road each day. The length, L (in miles), that is left to be paved after d days is given by the following function. L(d) = 207–8d Answer the following questions. (a) IF 143 miles of the road is left to be paved, how many days has the crew been paving the road? E 1 days (b) How many miles of the road does the crew have left to pave after 13 days?
Answer:
8: 207
x: 143
and solve that to get your answer
The required answers are-
(a) The crew been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation to pave a road is,
L(d) = 207– 8d
where, length, L (in miles), and d days.
(a) For 143 miles of the road is left to be paved, the number of days is given as-
Put Length L(d) = 143 in the equation to pave a road
we get,
143 = 207– 8d
or, 8d = 207– 143
or, 8d = 64
or, d = 64/8
⇒ d = 8 days
So, The crew have been paving the road for 8 days.
(b) miles of the road have left for the crew to pave after 13 days.
Put d = 13 days in the equation to pave a road
we get,
L(d) = 207– 8*13
or, L(d) = 207– 104
⇒ L(d) = 103 miles
So,103 miles of the road have left for the crew to pave after 13 days.
Thus,The required answers are-
(a) The crew have been paving the road for 8 days.
(b) 103 miles of the road have left for the crew to pave after 13 days.
To learn more about roads:
brainly.com/question/1196760
#SPJ2
solve the equation 5/x+3 + 4/x+2 = 2
Answer:
5 + 4 = 9
x × x = X2
3 + 2 = 5
9/x + 5 = 2
Answer:
5/x+3+4/x+2=2
=9/x+5=2
9/x=-3
Multiply both sides by x
9= -3x
Divide by -3
Answer x= -3
Hope this helps
B. Hanapin ang sagot (quotient) gamit ang paghahati-hati. (1 puntos bawat bilang = 5 puntos) 26.4)448 27.800 + 10 = 1 28. 3)663 = 29.56 + 8 = 30. 120 + 6 =
answer :
120 + 6 = 126
explanation:
sa calculator lang yan haha jk
pero yan talaga ang sagot promise hindi ako ng bo-bola haha stay safe and stay positive na lang huwag lang sa c o vi d