To write the complex number (5+√5)(6-√-10) in standard form, we simplify the expression by multiplying the terms and then combine the real and imaginary parts. The standard form of the complex number is 30 + 5√2.
To simplify the expression (5+√5)(6-√-10), we need to multiply the terms using the distributive property.
First, let's multiply the real parts:
5 * 6 = 30.
Next, we multiply the imaginary parts:
√5 * -√-10 = -√(5 * -10) = -√(-50) = -√(50)(-1) = -√(25 * 2)(-1) = -√25 * √2 * (-1) = -5√2.
Now, let's combine the real and imaginary parts to write the complex number in standard form:
(5+√5)(6-√-10) = 30 + 5√2.
Therefore, the complex number (5+√5)(6-√-10) can be written in standard form as 30 + 5√2. In standard form, the complex number is expressed as the sum of a real part and an imaginary part. The real part is 30, and the imaginary part is 5√2.
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At the present time a man is four times as old as his son. Six years ago he was 10 times as old. Find their present ages.
Son = x
Man = 4x
Six years ago:-Son = (x - 6)
Man = (4x - 6)
And, we have also been given a relation between the age of son and man six years ago, that is, six years ago, the age of man was 10 times that of the age of son. Using that relation, we can set up an equation as follows:
(4x - 6) = 10(x - 6)
→ 4x - 6 = 10x - 60
→ 10x - 4x = 60 - 6
→ 6x = 54
→ x = 9
And we have assumed that present age of Son is x years and that of man is 4x years. Hence:
Present age of son = x years = 9 yearsPresent age of man = (4x) years = (4 * 9) years = 36 years7(x-8)=-35 linear equation
Answer:
x =3
has no slope
Step-by-step explanation:
First, simplify the equation
7 ( x - 8 ) = -35
distribute 7
7x - 56 = -35
add 56 to both sides
7x = 21
divide both sides by 7
x = 3
now graph
April says that the square root of 115 is between 10 and 11. Is she correct? How do you know
true
Because 10 is the square root of hundred and 11 is the square root of 121
so the square root of 115 should be between 10 & 11
Last month, Mia and Juan sold candy to raise money for their debate team. Juan sold 2 9/10
times as much candy as Mia did. If Mia sold 5 boxes of candy, how many boxes of candy did
Juan sell?
Find the value of x.
x - 4
153°
2x + 10
Answer:
(x-4)+(2x+10)=153°. [by using exterior angle sum property]
So x=49°
The measure of the value of x is 49.
Option A is the correct answer.
We have,
From the definition of the external angles of a triangle.
The measure of an external angle of a triangle is equal to the sum of the measures of the two opposite interior angles to the adjacent angle.
Now,
153° = (2x + 10) + (x - 4)
Solve for x.
153 = 2x + 10 + x - 4
153 = 3x + 6
153 - 6 = 3x
3x = 147
x 147/3
x = 49
Thus,
The measure of the value of x is 49.
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Give me the answers to this page before 1:00
Solve the following equation: *
-9 (t – 2) = 4(t – 15)
Answer:
6 =t
Step-by-step explanation:
-9 (t – 2) = 4(t – 15)
Distribute
-9t +18 = 4t -60
Add 9t to each side
-9t +18+9t = 4t+9t -60
18 = 13t -60
Add 60 to each side
18+60 = 13t-60+60
78 = 13t
Divide each side by 13
78/13 = 13t/13
6 =t
1
1. y=ax+1
y=-x-9
441
1/4x-1/4=1/2 this is algebra
Answer:
x=3
Step-by-step explanation:
1/4x=1/2+1/4
1/4x=3/4
4*1/4x=3/4*4
x=3
What is the area of an isosceles triangle whose equal sides 5 cm and base side 6 cm
Answer:
12 cm^2
Step-by-step explanation:
which will result in a perfect square trimonial?
Answer:
is there suppose to be a picture
Step-by-step explanation:
PLZ HELP 25 POINTS AND WILL MARK BRAINLIEST
Divide 3/4 ÷ 1/8 = ____.
Answer:
6
Step-by-step explanation:
3/4 ÷ 1/8
Copy dot flip
3/4 * 8/1
Rewriting
3/1 * 8/4
3/1 * 2/1
6
Answer:
6
Step-by-step explanation:
all you need to do is convert them into decimals
Please help!!
Sean needs to read a book that is 374 pages long. The graph shown at the right shows his progress over the first 8 hours of reading. If he continues to read at the same rate how many hours total will it take for Sean to read the entire book?
A. 15 hours
B. 17 hours
C. 19 hours
D. 21 hours
Answer:15 hours
Step-by-step explanation:
You have to subtract to get your answer.I'll show you how I got 15:
374-8=366
366-8=358
358-8=350
350-8=342
Whatever number you get after you subtracted, you subtract that number from 8 until you get your answer.
Three carpenters make 19 chairs in a certain amount of time. How many carpenters can make 95 chairs in the same amount of time, assuming each carpenter works at the same rate?
Let's solve by Unitary method
19 Chairs can be made by 3 carpenters in some time
1 chair can be made by 3÷19 carpenters in that time
95chairs can be made by( 3÷19)× 95 carpenters in that time
= 3× 5 carpenters
=[tex]\red{\boxed{\huge{\bold{ 15 carpenters }}}}[/tex]
Find LN
6x
4x + 8
M
27
Answer: x = 17.5
Step-by-step explanation:
43 divided 2815 long division
Answer: (2815/2) + 20 = 1427.5
Step-by-step explanation:
If sp is Rs 115 and profit is Rs 15, find the profit percent
Answer:
15 % profit
Step-by-step explanation:
CP = SP - profit
= 115 - 15
= 100
Profit% = Profit / CP × 100
= 15 / 100 × 100
= 15%
pleaseeeeeeeeeeeee helllllpppppppp
if two no is ratio 7:3 their a addition is 48 find no.
Answer:
check this answer,reply me if you are satisfied
answer the question below please
Answer:
x=7
Step-by-step explanation:
AC=3x+3 AB=-1+2x and BC=11
AC = AB + BC
ALL THE STEPS:
3 X + 3 = - 1 + 2 X + 11
3 X + 3 = 2 X + 10
3 X + ( - 2 X ) + 3 = 2 X + ( - 2 X ) + 10
X + 3 = 10
X + 3 + ( - 3 ) = 10 + ( - 3 )
X = 7
PLEASE HELP I WILL GIVE BRAINLY.
I NEED THIS QUICK
Explain in words how to find how much larger is 5.6×106 than 2.3×106. And write the result.
Answer:
330,000
Explanation:
Since the two numbers given have the same degree, move the decimal point to the right by the amount of the degree (in this case, move the decimal point to the right 6 times). Now, you have 560,000 and 230,000. Now subtract 230,000 from 560,000, and you get 330,000 as your answer
a: Write an equation that will relate the number of miles driven to the # of gallons of gas.
b: What is the constant of proportionality?
c: How many miles could Katya go if she filled her 22-gallon tank?
d: If Katya takes a trip of 600 miles, how many gallons of gas would be needed to make the trip?
e: If Katya drives 224 miles during one week of commuting to school and work, how many gallons of gas would she use?
i hope have been useful buddy.
good luck ♥️♥️♥️♥️♥️
Answer:
a
Step-by-step explanation:
the answer is a i took the test
f(x) = 2x² + 2, find f(5).?
Answer:
sorry if i got it wrong but i think its 22 if f5
Step-by-step explanation:
Answer:
f(5) = 52
Step-by-step explanation:
[tex]f(x) = 2x^{2} + 2[/tex]
We have to substitute x with 5.
f(5) = 2(5) ^2 + 2
f(5) = 2(25) + 2
f(5) = 50 + 2
f(5) = 52
Hope this helps!
Given the function f(x) = 22 - 5x find f (4)
Answer:
f(4) =2
Step-by-step explanation:
f(x) = 22 - 5x
Let x= 4
f(4) = 22 - 5*4
Multiply first
22 - 20
2
f(4) =2
Answer: 2
Explanation:
f(x) = 22 - 5x
f(4) = 22 - 5(4)
f(4) = 22 - 20
f(4) = 2
Find the Range of the Graph ASAP dudeeeeesssssss
A) -3 ≤ y ≤ 2
B) -3 and 2
C) -3 ≤ y ≤ 3
D) -2 ≤ y ≤ 3
5x + 24 > 2(x – 9) - 3x
answer this pls with showing work :(
Answer:
x>-7
Step-by-step explanation:
5x+24>2(x-9)-3x
5x+24>2x-18-3x
5x+24>-18-x
6x+24>-18
6x>-42
x>-7
Answer:
x > -7
Step-by-step explanation:
1. Get rid of the parentheses.
5x + 24 > 2(x - 9) - 3x
= 5x + 24 > 2x - 18 - 3x
2. Simplify by combining similar terms.
5x + 24 > 2x - 18 - 3x
= 5x + 24 > -x - 18
+x -24 +x -24
= 6x > -42
3. Isolate the variable.
6x > -42
/6 /6
= x > -7
A dairy produced 85 liters of milk in 4 hours. How much milk, on average, did the dairy
produce per hour?
Write your answer as a decimal.
3. Describe how you would solve 5(x + 3) = 28.
Answer:
5(x+3) =28
5x+15=28
5x=28-15
5x=13
x=13/5
x=2.6
Step-by-step explanation:
CLICK ON PHOTO FOR QUESTION!
The graph shows a proportional relationship bcox it's a line and each X value is a multiple of two
Three times a number plus 3 is 24 . Find the number
Step-by-step explanation:
Let the unknown number be x
[tex]3 \times x + 3 = 24 \\ 3x + 3 = 24[/tex]
Collect like terms and simplify
[tex]3x = 24 - 3 \\ 3x = 21[/tex]
Divide both sides of the equation by 3
[tex] \frac{3x}{3} = \frac{21}{3} [/tex]
Simplify
[tex]x = 7[/tex]
Let's call the number we don't know n.
Since three times a number plus 3 is 24,
we can translate this to 3n + 3 = 24.
Solving from here, we subtract 3 from both sides to get 3n = 21.
Now we can divide both sides of the equation by 3 and we have n = 7.
So our number is 7.
One of the zeros of the function y = f(x) is 3. Choose the expression which COULD represent f(x).
A) f(x) = (x + 7)^3
B) f(x) = (x + 9)^2
C) f(x) = (x + 5)^2(x − 4)
D)f(x) = (x + 6)(x − 3)2
