Answers
[tex]4 + \sqrt{ - 16} \\ = 4 + \sqrt{ - 2 \times 2 \times 2 \times 2} \\ = 4 + 2\sqrt{ - 4} \\ = 2(2 + \sqrt{ - 4} )[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto 4+√-16[/tex]
[tex]\\ \sf\longmapsto 4+√16i[/tex]
[tex]\\ \sf\longmapsto 4+4i[/tex]
Take 4common[tex]\\ \sf\longmapsto 4(1+i)[/tex]
Related Questions
Graph △ABC with vertices A(4,1),B(−2,3), and C(−1,1) and its image after the glide reflection.
Translation: (x,y)→(x+2,y+1)
Reflection: in the x-axis
Answers
The reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
What is reflection?
A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.So, the △A'B'C' is:
△ABC:
A (4,1)B (−2,3)C (−1,1)Now, Translation: (x,y)→(x+2,y+1) (
(x: axis is the line of reflection)
△A'B'C'
A' (6, -2)B' (-4, -4)C' (-3, -2)Therefore, the reflection of the given △ABC is shown that be △A'B'C' with vertices A' (6, -2); B' (-4, -4), and C' (-3, -2).
Know more about reflection here:
https://brainly.com/question/28419477
#SPJ1
Find the inverse of
Answers
Answer:
1/-0.5x
Step-by-step explanation:
1/2 = 0.5
-0.5x = -1/2x
Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x
Hope that helps
In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base.
Answers
Answer:
altitude = 15 cm
Step-by-step explanation:
you can use the Pythagorean Theorem where you have a right triangle with a base of 8 (half of 16), a hypotenue of 17, and the altitude is 'a'
a² + 8² = 17²
a² + 64 = 289
a² = 225
a = [tex]\sqrt{225}[/tex]
a = 15
What is the value of the digit in the millions place?
56,931,446
A. 9,000,000
B. 50,000,000
C. 6,000,000
D. 400,000
Answers
Answer:
C 6,000,000
Step-by-step explanation:
CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?
1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2
Answers
Answer:
2:A number is greater than 17.2
Step-by-step explanation:
the ">" in the inequality represents is greater
so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.
Answer:
2
Step-by-step explanation:
Hurry plz!!! graph y= 5/3x - 9
Answers
Answer:
This is what it would look like! Hope this helps!
E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet
Answers
Answer:
6feet by 5feet by 4feet
7feet by 6feet by 4feet
8feet by 3feet by 7feet
A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college. X > 0 and y > 0 0 < x ≤ 200 and y > 400 0 < x and y < 200 0 < x ≤ 200 and 0 < y ≤ 400.
Answers
The constraints to represent the incoming students at the college are [tex]0<x \leq 200[/tex] and [tex]0<y \leq 400[/tex] and this can be determined by using the given data.
Given :
College plans to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students.x is the number of out-of-state students and y is the number of in-state students.The following steps can be used in order to determine the constraints to represent the incoming students at the college:
Step 1 - The inequalities are formed in order to determine the constraints to represent the incoming students at the college.
Step 2 - The linear equation that represents the situation "two times as many in-state students as out-of-state" is:
[tex]y = 2x[/tex]
Step 3 - The inequality that represents the situation "college only have space to accept 200 out-of-state students" is:
[tex]0<x \leq 200[/tex]
Step 4 - So, the inequality that represents the maximum number of in-state students that college can take is:
[tex]0<y \leq 400[/tex]
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/19491153
The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]
Answers
Take the square root of each square to get the side lengths
4*4=16
7*7=49
Answer:
4:7
Step-by-step explanation:
We know that
Area of square = s²
For square 1
16 = s²
√16 = s
4 = s
For square 2
49 = s²
√49 = s
7 = s
Scale factor = 4:7
A two-digit integer is randomly selected. What is the probability that its digits are
different? Express your answer as a common fraction.
Answers
Answer:
9/10
Step-by-step explanation:
There are 10 possible choices for the 2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8 , and 9.
Whatever the first digit is, there are 9 ways to make the 2nd digit different.
2(x-3) < 3(2x+2)
How do I solve for x
Answers
Answer:
x < -3
Step-by-step explanation:
2(x-3) < 3(2x+2)
Use the distributive property.
(2× x)-(2×3) < (3 × 2x) + (3×2)
2x-6 < 6x+6
add 6 to both sides
2x < 6x+12
subtract 6x from both sides.
-4x < 12
divide both sides by -4
x < -3
guys cqn you help me please
Answers
yan po answer
#CARRYONLEARNING
LOVE U ALL
Hope you could get an idea from here.
Doubt clarification - use comment section.
C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute
Answers
Answer:
he can shoot 12 shots in 1minute
Step-by-step explanation:
3minutes = 36 shots
1 minute= 36 divided by 3 which is equal to 12
Determine whether it is possible to form a triangle
with side lengths 5, 7, and 8.
O yes
no
Answers
Answer:
YES
Step-by-step explanation:
simplify 3q+3q+4q²
Explanation and working out please
Answers
Answer:
6q+4q²
Step-by-step explanation:
3q+3q+4q²
All you have to do is combine like terms(CLT)
3q+3q=6q
You can't combine 6q and 4q².
The end result is 6q+4q².
-hope it helps
Answer:
2q(2q+3)
Step-by-step explanation:
What is 2^5+7/8?
I need help
Answers
Answer:263/8
Step-by-step explanation:
2^5=32
32= 256/8 | Convert to fraction form
256/8+7/8= 263/8 | Combine fractions
Answer:
Step-by-step explanation:
2^5=32
32= 256/8 | Convert to fraction form
256/8+7/8= 263/8 | Combine fractions
Reduce the fraction and find the domain:
(c+2)^2 divided by 7c^2+14c
Answers
Jimmy takes a loan of 10,000$ at 12% per year as rate of interest . Find the amount, he will be required to pay after 1 year to settle the loan .
kindly stay out if u don't know the answer :)
spams , plagiarism = reported
Thanks for answering...
Answers
Answer:
1200 I THINK
Step-by-step explanation:
Answer :-
11200Step by step explanation :-
Here,
Principal = 10,000Time = 1 year rate = 12 %The intrest payable on 100$ for 1 year = 12 $
The interest payable on 10,000$ borrowed for 1 year
[tex]( \frac{12}{100} \times 10000)[/tex][tex]1200[/tex]so, at the eand of the year , he has to give an amount of $ ( 10,000 + 1200 )
11200 $Solve for w.
-3(-8w+1) -w=5(w-1)-1
Simplify your answer as much as possible.
W =
Answers
Answer:
W = - 6
Step-by-step explanation:
-3(-8w+1) - w = 5(w-1) - 1 -> (Original equation)
24w - 3 - w = 5w - 5 - 1 -> (Expanded version)
23w - 3 = 5w - 6 -> (Simplified version)
18w - 3 = - 6 -> (Subtract 5w from both sides)
18w = - 3 -> (Add 3 to both sides)
w = 18/-3 which is - 6 -> (Doing 18/-3)
Set up a proportion and solve for x.
1) If I can make up one test in 30 minutes, how long will it take me to make 11 tests?
Can you please help this is due tomorrow and it’s almost Christmas break:((
Answers
30x11 is 330.
300mins
Sorry i'm a little tired, if you want ask me how i got it and show my work in the comments. Thanks u
Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A
Answers
Answer:
42 and 54
Step-by-step explanation:
please help and show work I'll mark you brainliest if I can
Answers
Answer: If your talking about the angle degree it is 45°
Step-by-step explanation:
HELP ASAPPPPPPPPPPPPPPPPP
Answers
Answer:
b. Kilograms
Step-by-step explanation:
If one plane is flying 40 mph and another plane is flying 100 mph, and they
are 200 miles apart and flying directly toward each other, in how long will the planes
meet2
Answers
Answer:
i think 60 miles
Step-by-step explanation:
I just added the 100+40 then
200-140
Answer:
1 3/7 hours
Step-by-step explanation:
The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...
time = distance/speed
time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h
The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.
2b-3(1+b)=-3(b+7) help
Answers
Hence, 'b = -9' is the answer.
Hoped this helped
[tex]BrainiacUser1357[/tex]
Darren got 45 out of the 60 questions correct on a test. What percent of the questions did he get correct?
Answers
Answer: To to find the percentage, you simply need to divide 45 by 60:
Step-by-step explanation:
45/60= .75
Move the decimal from the .75 over 2 times which would get you 75% on his test. So he got a 75%
Answer:
75%
Step-by-step explanation:
To find the percentage of questions Darren got correct, first create a fraction.
question's correct/total question's so 45/60
Then, convert the fraction to a percent.
45/60 = 0.75 =75%
So, Darren got 75% of the questions correct.
hope i helped
The expression 3r - 6 can be written as _____. 3(r - 2) 3(r - 6) 3(3r - 6).
Answers
Answer:
The expression 3r - 6 can be written as 3(r - 2)
Step-by-step explanation:
We know that 3r-6=3(r-2) because 3*r is the same as 3r and we know that 3*-2 is -6 hence making them equal. And to check it we know that 3r-6 is equal to 3r-6.
Solve for the positive value of x: 2x² = 50
Answers
Answer:
x=5
Step-by-step explanation:
Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No
Answers
Answer:
I'm thinking its a no because the money is odd every time Jayden adds $5
Step-by-step explanation:
Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.
Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.
Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,
[tex]\to y = 11+5x[/tex]
Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,
[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]
As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].
Learn more:
brainly.com/question/11925965
As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?
Answers
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