Solve the linear equation.
2.25 - 11j - 7.75 + 1.5j = 0.5j - 1
A. j = -0.45
B. j = -0.25
C. j = 0.25
D. j = 0.45
Answers
Answer:
Solve the linear equation [tex]2.25 - 11 - 7.75 + 1.5j= 0.5j - 1[/tex]
✔ [tex]j[/tex] = –0.45
[tex]j[/tex] = –0.25
[tex]j[/tex] = 0.25
[tex]j[/tex] = 0.45
Simplify [tex]2.25 - 11j - 7.75 + 1.5j[/tex] .
Subtract [tex]7.75[/tex] from [tex]2.25[/tex] .
[tex]- 11j - 5.5 + 1.5j = 0.5j -1[/tex]
Add [tex]-11j[/tex] and [tex]1.5j[/tex] .
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Move all terms containing [tex]j[/tex] to the left side of the equation.
Subtract [tex]0.5j[/tex] from both sides of the equation.
[tex]- 9.5j - 5.5 = 0.5j - 1[/tex]
Subtract [tex]0.5j[/tex] from [tex]- 9.5j[/tex].
[tex]- 10j - 5.5 = - 1[/tex]
Move all terms not containing [tex]j[/tex] to the right side of the equation.
Add [tex]5.5[/tex] to both sides of the equation.
[tex]-10j = -1 +5.5[/tex]
Add [tex]-1[/tex] and [tex]5.5[/tex] .
[tex]10j=4.5[/tex]
Divide each term in [tex]-10[/tex][tex]j[/tex] [tex]=4.5[/tex] by [tex]-10[/tex] and simplify.
Divide each term in [tex]-10j = 4.5[/tex] by [tex]-10[/tex].
[tex]\frac{-10j}{-10} = \frac{4.5}{-10}[/tex]
Simplify the left side.
Cancel the common factor of [tex]-10[/tex].
[tex]j= \frac{4.5}{-10}[/tex]
Cancel the common factor.
[tex]\frac{-10j }{-10} = \frac{4.5}{-10}[/tex]
Divide [tex]j[/tex] by [tex]1[/tex]
[tex]j=\frac{4.5}{-10}[/tex]
Simplify the right side.
Divide [tex]4.5[/tex] by [tex]-10[/tex].
[tex]j=-4.5[/tex]
The Final Answer is
[tex]j=-4.5[/tex]
Related Questions
X
у
1
7
N
13
3
23
4
37
5
55
iction?
The table above represents what type of function?
Answers
You are renting a car for the day. There is a daily fee of $25 and a charge of $0.10 per mile. Your budget allows a maximum total cost of $50. How many miles can you travel on this budget?
Answers
Answer:
250 miles
Step-by-step explanation:
daily charge: $25
per mile: $0.10
budget: $50
50-25=25
25 divided by 0.10 = 250
you can travel 250 miles on this budget
Solve for x . x/3 +x/4
Answers
The answer is
[tex] \frac{7x}{12} [/tex]
Donna packs 14 pounds of nuts in bags . Each bag has 1/4 pound of nuts Which equation shows the number of bags Donna packed with all the nuts
Answers
Answer:
Step-by-step explanation:
Where are the equations to choose from?
14 pounds × (1 bag)/(¼ pound) = 56 bags
Whats 8 2.5% of 75?Write your answer as a decimal.
Answers
7
8
Decimal =
0.875
Explanation:
The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won't stagger when you see these type of questions in exams (like the SAT).
Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.
What
=
Any variable like
x
Percent / Percentage / %
=
Divide by 100
of
=
Multiply
is
=
Put an equal to (
=
) sign
I'll give you an example through a question.
What percent of 200 is 5?
Ans: Replace English words by mathematical tools according to the rules I told you.
x
( What) /100 ( percent)
×
( of) 200
=
( is) 5
In a refined form,
x
100
×
200
=
5
Calculate x. On calculating, x comes out to be
2.5
So, 2.5 percent of 200 is 5.
Now your question is actually very simple if you follow my rules.
You want 87.5%. By the rules, % means divided by 100. So
87.5
%
=
87.5
100
and now using the same strategy, Ans:
875
1000
Disregard the next section if you know how to convert a decimal to a fraction
Section Starts
First, I'll write the decimal form. Whenever you divide by a number that is in form of 1 followed by
n
number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.
In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.
This is the answer in decimal point.
Now simultaneously, I'll teach you how to convert a decimal into a fraction.
Here, you see 2 types of "numbers". One to the left side of the decimal point and one to the right side of the decimal point.
Here, left side of decimal point is 0 and right side of decimal point is 875.
Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)
Remove the decimal point and divide the number by a number formed by 1 followed by the "digits" we obtained (i.e. 3).
So, 875/1000. Simplify this, and you get your answer.
please help me you will be my fav person ever if u do
Answers
Answer:
The answer are 1_ ASA
2_ SSS
3_ SAS
What is the slope between:
(2,5) (4, 13)
Answers
Answer:
m = 4
you can find the answer for this on m a t h w a y (without the spaces)
I hope this helps!
Answer:
4
Step-by-step explanation:
slope = y2-y1 / x2-x1
13-5= 8
4-2=2
8/2= 4
What’s 20 times 69?????
Answers
Answer:
1,380
Step-by-step explanation:
Answer:
20x69 = 1,380
Answeerrrrr asapppooaoaoaoao please need helppppp
Answers
Answer:
1a. Yes
1b. No
1c. Yes
Step-by-step explanation:
Answer:
1a. 2/5 x 25 = 50/5 = 10 and 10 = 10 so yes
1b. 5 + 5 = 10 10 does not equal 15 so no
1c. 5 x 5 = 25 and 25 = 25 so yes
A cylinder with a diameter of 8 inches and height of 12 inches.
Ross is wrapping a gift. The package is shaped like the cylinder shown. What is the least amount of paper he needs to cover the entire cylinder? Use 3.14 for Pi.
401.92 in.2
602.88 in.3
1004.8 in.2
2411.52 in.3
Answers
Answer:
401.92 in.2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
URGENT URGENT URGENT!!!
HELP PLEASE!!
Answers
Answer:
Step-by-step explanation:
I think it’s b correct me if I’m wrong
Answer:
I think it is b im pretty sure
Write a rule for the linear function in the table.
A.
f(x) = –x + 1
B.
f(x) = x – 1
C.
f(x) = x
D.
ƒ(x) = –x
Answers
Answer:
i keep getting different stuff
Step-by-step explanation:
4 x − 5 + y = 0
x + 6 y = 5
6 x − 3 y =12
3 x + y = 16
6 x − 3 y = 12
3 x + 4 y = − 5
find the quotient. -105/15=
Answers
Answer:
-7
Step-by-step explanation:
Hope this helped! :)
so the answer is -7
Liliana watched 1/2 of Finding Nemo before she paused it to go make popcorn. When she came back, she watched another 1/3 of the movie. What fraction of the movie did Liliana watch in all?
Answers
Answer:
5/6 of the movie. 1/2 is the same as 3/6 and 1/3 the same as 2/6. Just add it and boom you got 5/6.
Solve -3.5=x-4 for x using the multiplication propertiy of equality
Answers
Answer:
Hello! :) have a good day!
X= 0.5
Answer:
x = 0.5
Step-by-step explanation:
Solve each proportion help pls
Answers
17)mixed form x=5 7/17 exact form 92/17
18)x=49
19)mixed form x=30 6/7 exact form x=216/7
20)mixed form x=2 1/4 exact form x=9/4
I’m confused rn bc I’m tired so can I get help?
Answers
Answer:
i can't see the question enough or the answer choices
Step-by-step explanation:
make a new question or put in the comments
Answer:
Not sure if it helps, But anyways heres what i got!! Lol
Step-by-step explanation:
On a map, you trace your route and come to a fork in the road. Two diverging roads split from a common point and form an angle. The point at which the roads diverge is the vertex. An angle separates the area around it, known in geometry as a plane, into two regions. The points inside the angle lie in the interior region of the angle, and the points outside the angle lie in the exterior region of the angle.
Once you get to know the types of angles and how to measure and create your own, you’ll have picked up valuable geometry skills that will help you prove even the most complex geometric puzzles.
2 Do the following calculations
a) 55,8965 + 12,443 x 3
b) (6 x 3) - 4 + 26 - 2
c) 44,65 = 3 x 11,11 + 68
d) 24 - 16 + 3 + 5 - 6 + 10 - 2
e) 15 = (2+2)
Answers
Answer:
a) 93,2255
b)38
c)false
d)18
e)false
plz I NEEEEED HELP NOWWWW PLZ PLZ PLZ
Answers
Angle (p+7)° and angle (3p+1)° are a linear pair so their sum will be equal to 180°.
Which means :
[tex] =\tt 3p + 1 + p + 7 = 180[/tex]
Let us solve that equation to find the value of p and the two angles :
[tex] =\tt 3p + 1 + p + 7 = 180[/tex]
[tex] =\tt 3p + p + 1 + 7 = 180[/tex]
[tex] =\tt 4p + 8 = 180[/tex]
[tex] = \tt4p = 180 - 8[/tex]
[tex] = \tt4p = 172[/tex]
[tex] =\tt p = \frac{172}{4} [/tex]
[tex]\hookrightarrow \tt \color{plum}p = 43[/tex]
Thus, value of p = 43
Measure of angle (p+7)° :
[tex] =\tt 43 + 7[/tex]
[tex]\tt\color{plum}angle \: (p + 7)° =\tt 50°[/tex]
Measure of angle (3p+1)° :
[tex] =\tt 43 \times 3 + 1[/tex]
[tex] = \tt129 + 1[/tex]
[tex]\tt\color{plum}angle \: (3p + 1)° = 130°[/tex]
Thus, the measure of the larger angle = 130°
Therefore, the correct option is (a) 130
Can any one help me on this question ?
Answers
Answer:
70°
Step-by-step explanation:
2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }
3x + 150° = 360°
3x = 360° - 150°
3x = 210°
x = 70°
Hope it will help :)
Answer:
70
Step-by-step explanation:
Since sum of all angles in a quadrilateral is 360°
angle P+ angle Q + angle R + angle S= 360°
80+70+x+2x=360
3x= 360-150
3x = 210
x = 210/3
x= 70
A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall is the fire hydrant?
Answers
Answer:
3ft
Step-by-step explanation:
We are given that
Height of lamp, h=12ft
Height of shadow, l=6ft
Height of shadow of hydrant, l'=1.5ft
Let height of hydrant=h'
We have to find the height of fire hydrant.
All right triangles are similar
When two triangles are similar then, the ratio of their corresponding sides are equal.
Using the property
[tex]\frac{h}{h'}=\frac{l}{l'}[/tex]
[tex]\frac{12}{h'}=\frac{6}{1.5}[/tex]
[tex]h'=\frac{12\times 1.5}{6}[/tex]
[tex]h'=3[/tex]ft
Hence, the height of fire hydrant=3 ft
how do I find a percentage from a discount
Answers
Answer:
Subtract the post-discount price from the pre-discount price.
Divide this new number by the pre-discount price.
Multiply the resultant number by 100.
Step-by-step explanation:
uhhh just look at the screenshot then answer
Answers
Answer:
The Independent is the Number of Hours while the Dependent is the Number of Miles
Equation: y= 50x
Step-by-step explanation:
I Hope this helped
Can anybody help me please? it’s a major and i’m very confused.
Answers
Find the 9th term of the geometric sequence 6, -24, 96,
Answers
Step-by-step explanation:
the process is show in the above picture.
what sin40? round to the nearest hundredth place
Answers
Answer:
i don't know just ask the internet
Answer:
0.75
Step-by-step explanation:
original answer: 0.74511316047
There are 8 employees in The game shops sales team. Last month , they sold a total of g games . One of the sales teams member , Chris , sold
Answers
Answer:
This question is not complete.
Step-by-step explanation:
Johnny is standing on a platform 12 meters high throw ball up velocity 11 meters what time will ball hit the ground after 2 seconds
Answers
Answer:
The ball will hit the ground after 1.54 seconds
Step-by-step explanation:
This is a form of projectile motion in horizontal direction
Thus, time taken to reach the ground
[tex]t = \sqrt{\frac{2*d}{g} }[/tex]
Substituting the given values in above equation, we get -
[tex]t = \sqrt{\frac{2* 12}{10} } \\t = 1.54[/tex]seconds
Solve for a
Pythagorean theorem
Answers
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
I NEED HELP PLEASE. I WILL GIVE BRAINLIST IF RIGHT!
Answers
Answer:
Shift f up by 1 unit
Step-by-step explanation:
The email address lol
