Answer:
The conjugate is 2+5i and the product is 29.
Step-by-step explanation:
The conjugate of a complex number [tex]a+bi[/tex] is [tex]a-bi[/tex]
Our complex number is 2-5i.
Here, a = 2 and b = -5
Thus, the conjugate of 2-5i is
[tex]2-(-5i)=2+5i[/tex]
Using this rule:
[tex](a+b)(a-b)=a^{2}-b^{2}[/tex]
And the fact that [tex]i^{2} = -1[/tex]
We can find the product of any complex number and its conjugate:
[tex](a+bi)(a-bi)=a^{2} - (bi)^{2}=a^{2} - b^{2} i^{2} = a^{2} + b^{2}[/tex]
As our complex number is [tex]2-5i[/tex], the product with its conjugate will be
[tex]2^{2} + (-5)^{2} =4+25=29[/tex]
Both of these question please help me!!!!!!
Answer:
1. A=3x^4y^4 2.B= 2^6=64
Step-by-step explanation:
hope this helps pls mark brainliest
You are planning to use a tile design in your new room. The tiles are equilateral triangles. You decide to arrange the tiles in a hexagonal shape as shown. If the side of each tile measures 11 cm, what will be the exact area of each hexagonal shape? A. 3,993 cm^2 B. 181.5 root 3 cm^2 C. 132 root 3 cm^2 D. 33 cm^2
Answer:
B. 181.5√3 cm^2
Step-by-step explanation:
The area of a regular hexagon with side length s is given by ...
A = (3√3/2)s²
For side length s = 11 cm, the area is ...
A = (3√3/2)(11 cm)² = 363√3/2 cm²
A = 181.5√3 cm²
Match each number with its place in order from smallest (1st) to largest (6th). 1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48 HELP ASAP IM GETTING GRADED ON THIS
Answer:
1st -842nd -803rd -564th 485th 59 6th 90Step-by-step explanation:
To match each number with its place in order from smallest (1st) to largest (6th).
1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48
First we write all numbers: -56, 90, -84, 59, -80, 48
In Ascending order ( from smallest to largest): -84, -80,-56, 48, 59, 90
Here, the required arrangement:
1st -842nd -803rd -564th 485th 59 6th 90
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice,
where the rice-to-spice ratio is 15 : 1. He currently has 40 grams of the spice blend, and he can go buy
more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David
spends 4.50 dollars on rice.
How many servings can David make with the current amount of spice he has?
Answer:
8 servings of rice
Step-by-step explanation:
I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??!
Answer:
1 point should be located before 4 points below C.
1 point should be located before 4 points above B.
1 point should be located at point A.
Find X. Round your answer to the nearest tenth of a degree.
Answer:
48.6 degrees
Step-by-step explanation:
The sine function is appropriate here:
9
sin x = ------------- = 0.75
12
The inverse sine function arcsin x provides with the angle measurement:
arcsin 0.75 = 0.848 radian, or 48.6 degrees
Given that F( x ) = x 2 + 2, evaluate F(1) + F(5).
Hi there! :)
Answer:
[tex]\huge\boxed{f(1) + f(5) = 30}[/tex]
Given:
[tex]f(x) = x^{2} + 2[/tex]
Evaluate [tex]f(1) + f(5)[/tex]
Solve for each:
[tex]f(1) = (1)^{2} + 2 = 3[/tex]
[tex]f(5) = (5)^{2} + 2 = 27[/tex]
[tex]27 + 3 = 30[/tex]
Answer:
30
Step-by-step explanation:
What effect will replacing x with (x−3) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 3 units down B. slides the graph 3 units right C. shrinks the graph by a factor of 3 D. slides the graph 3 units left
Answer:
B. slides the graph 3 units right
Step-by-step explanation:
Replacing x with x-h moves the graph 'h' units to the right. In this case, the graph is moved 3 units right by replacing x with x-3.
Give three equivalent rates that describe the top speed of a tuna.
Which ordered pair is a solution of the equation? 2x+4y=6x−y
Answer:
Step-by-step explanation:
"Which ordered pair" implies that there were several answer choices for this problem. It's important that you share such answer choices.
2x+4y=6x−y reduces to 5y = 8x, and so y = (8/5)x
If we choose x = 2, then y = (8/5)(2) = 16/5 is a solution of the given equation. There are an infinite number of such solutions. All lie on the line y = (8/5)x.
What is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2
Answer:
380 cm^2
Step-by-step explanation:
10*10=100(base square)
Each triangle= (14*10) /2=70
4 sides, so therefore: 70*4=280
280+100=380
Since the square base has side 10 cm and triangular side has height 14 cm, the total surface area of square pyramid is 380 cm²
To answer the question, we need to find the total surface area of the square pyramid
Total surface area of a square pyramid.Since a square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.
Area of square base
Area of square with side, L is A = L²
Area of triangular base
Area of triangle with height, h and base, L which is the length of the square base is A' = 1/2Lh
So, total surface area of square pyramid is A" = L² + 4 × 1/2Lh
= L² + 2Lh
Given that the length of the square base is 10 cm and the height of the triangular side is 14 cm.
We have that
L = 10 cm and h = 14 cmSo, substituting the values of the variables intot he equation, we have
A" = L² + 2Lh
A" = (10 cm)² + 2 × 10 cm × 14 cm
A" = 100 cm² + 280 cm²
A" = 380 cm²
So, the total surface area of square pyramid is 380 cm²
Learn more about total surface area of square pyramid here:
https://brainly.com/question/22744289
#SPJ2
Lance can paint the room in 5 hours, while Kim can paint the same room in 4 hours.
How many hours would it take for them to paint the room together?
Answer:
1.5 hours
Step-by-step explanation:
Please Help me!! An 8 foot high camel is loping away from a streetlight. The camel is loping at 12 feet/second. The streetlight is 20 feet high. How fast is the camel’s shadow growing?
Answer:
Camel's shadow is growing at a rate of 8 ft/sec.
Step-by-step explanation:
Given:
Height of camel = 8 ft
Height of streetlight = 20 ft
Speed of camel = 12 ft / sec
To find:
How fast is the camel's shadow growing = ?
Solution:
First of all, have a look at the image attached for the situation as given in the question statement.
PQ be the streetlight.
AB be the camel.
Camel is loping away from the streetlight.
BT will be the shadow of the camel.
We are given that speed of camel = 12 ft / sec
And we know that Speed is the Rate of change of distance w.r. to time.
i.e. as per the image, we are given:
[tex]\dfrac{dx}{dt} = 12 ft /sec[/tex]
And we have to find the value of:
[tex]\dfrac{ds}{dt} = ?[/tex]
(Because s is the shadow length and we have to find the rate of change of shadow's length w.r.to time.)
Here, let us consider the two similar triangles [tex]\triangle TAB\ and\ \triangle TPQ[/tex]as per the image attached:
Ratio of corresponding sides will be same.
[tex]\dfrac{AB}{PQ}=\dfrac{TB}{TQ}\\\Rightarrow \dfrac{8}{20}=\dfrac{s}{s+x}\\\Rightarrow 8s+8x=20s\\\Rightarrow 12s = 8x\\\Rightarrow s = \dfrac{2}{3}x[/tex]
Now, differentiating w.r.to t:
[tex]\dfrac{ds}{dt}=\dfrac{2}{3}\dfrac{dx}{dt}\\\Rightarrow \dfrac{ds}{dt}=\dfrac{2}{3}\times 12\\\Rightarrow \dfrac{ds}{dt}=\bold{8\ ft/sec}[/tex]
Camel's shadow is growing at a rate of 8 ft/sec.
Gina wants to solve the following proportion.
a / 5/8 = 3/5 / 2/3
A. explain how to solve the problem.
B. solve the proportion. show your work.
Step-by-step explanation:
please don't understand the question. will be happy if you take a shot of it.
Thanks
Math Question (10 Points):
Answer:
0
Step-by-step explanation:
Like terms are terms that have the same variable part.
The variable part of all three terms is u, so all terms are like terms.
5u + u - 6u =
= 5u + 1u 6u
= 6u - 6u
= 0
Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
Answer:
the 3rd one
Step-by-step explanation:
20+17=37
-1/2+(-5/2)= -3
so 37 + ( -3 ) = -3 + 37 have the same value which is 34
One-quarter of the top of a round wedding cake is covered in yellow roses. The top of the wedding cake has a diameter of 12 inches. Each yellow rose covers an area of 0.75 square inch. About how many roses were used to cover this section of the cake?
PLZ ANSWER QUICKLY AND ACCURATLY WILL MARK BRAINLIEST
Answer:
I believe the answer to your question is 38.
Step-by-step explanation:
Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found. which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)
Answer:
8
Step-by-step explanation:
Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?
Answer:
It would take 9 hours for them to meet.
Step-by-step explanation:
Total distance covered by both per hour: 19+17=36
The total time to go 324 miles for them: 324/36=9
Please help me! I will give brainly!
Example: To do the answer draw on my screenshot. So then you can make the dots.
PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
Answer:
B: The discriminant is equal to zero which means it has one real number solution
Step-by-step explanation:
Hello Again!!
Your right answer will be is B. The discriminant is equal to 0, which means the equation has one real number solution.
For this case we have the following quadratic equation:
2x^2 - 8x + = 0
Where:
a = 2
B = -8
c = 8
The discriminant is given by:
d = b^2 - 4(a)(c)
Substituting the values we have:
d = (-8)^2 - 4(2)(8)
d = 64 - 64
d = 0
So, Your best answer choice is B.
Good Luck!!
•Comments•
Ask if you need help! Because I'm glad to help you.
By ☆Itsbrazts☆
Match each function formula with the corresponding transformation of the parent function y = 3x
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis
Everything is exponents of the three except the -2 at the end and the 4th one is also +1 not an exponent
Answer:
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis
Step-by-step explanation:
Find the value of a. A. 52 B. 26 C. 104 D. 93.5
Answer:
Option (A)
Step-by-step explanation:
To find the value of 'a' we will use the tangent-chord theorem,
"Angle formed by the chord and a tangent to the circle measure the half of the intercepted minor arc"
Angle 'a' is formed between the chord and the tangent.
Measure of the intercepted arc = (2 × 52)°
Therefore, measure of the angle 'a' = [tex]\frac{104}{2}[/tex]
a = 52°
Therefore, Option (A) will be the correct option.
Solve for x: x - 15 = -30
Answer:
x = -15
Step-by-step explanation:
x - 15 = -30
add 15 to both sides
x = -15
12(43)
5 (88)
8 (63)
7 (28)
Please help me i tried to do this but I really don't get this can somebody help? plsssssssssssssssssssssssssssssss(sorry for spam)
If two 4-sided dice were rolled, what
would be the probability of getting double
2s? Write your answer as a fraction.
Answer:
It’ll be a 1/8 chance
Step-by-step explanation:
Uh pretty much, if you were to roll one of those 4 sides die it’ll be a 1/4 of being a 2 in which it was. If you were to roll it again it’ll be another 1/4 chance but back to back it’ll be a 1/8 chance
asap please x÷7=11÷15help
Answer:
x = 77/15 or 5 2/15
Step-by-step explanation:
x/7 = 11/15
Multiply each side by 7
x/7 *7 = 11/15 *7
x = 77/15
We can leave as an improper fraction or change to a mixed number
15 goes into 77 5 times with 2 left over
5 2/15
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 77/15, 5 2/15, or 5.13
▹ Step-by-Step Explanation
x ÷ 7 = 11 ÷ 15
15x = 77
Divide both sides by 15:
x = 77/15, 5 2/15, or 5.13
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
HELPPPPPP PLEASE AND THANK YOU D:
Answer:
2.
Step-by-step explanation:
2 . is the correct pair.
Help me pls Will mark best
Answer:
i think the answer is 5 i am not sure if wrong i am sorrry
Step-by-step explanation:
Papa Bear ate 1/2 of a pie. Mama Benr ate 1/2 of what was left Baby Bear ate 1/2 of what
was left after Mama Bear finished.
3) What fractional part of the pie did Mama Bear eat?
4) What fractional part of the pie was left for Goldilocks?
Answer:
1/4 was eaten by mama and Baby also ate 1/4
Step-by-step explanation:
goldilocks got 0/4
if papa ate half and baby and mama each ate 1/4 they equal up to 2/4 which is 1/2
papa ate 1/2 and 1/2+1/2=1
Mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.
What is the fraction?The fraction is a rational number that simply divides two numbers and is written in the form a/b where a is called the numerator and b is called the denominator.
Let the full part of the pie is a.
Papa bear ate 1/2 part of the pie.
Then papa bear ate = (1/2)a
rest of the pie is= a- (1/2)a= (1/2)a
Mama bear ate (1/2) of the rest of the pie.
so mama bear ate = (1/2)(1/2)a= (1/4)a part of pie
rest of pie after mama bear ate = (1/2)a- (1/4)a= (1/4)a
Then baby bear ate (1/2) of the rest of the pie.
so baby bear ate = (1/2)(1/4)a= (1/8)a part of pie
rest of pie after baby bear ate = (1/4)a- (1/8)a= (1/8)
The rest of the part was left for GoldLiocks.
Therefore mama bear ate (1/4)a part of pie and the (1/8) fractional part was left for Goldilocks.
Learn more about fraction
here: https://brainly.com/question/78672
#SPJ2
what comparison does the ratio 6 to 21 represent
Answer:
3:7
Step-by-step explanation:
hope it help you....
Answer:
2:7
Step-by-step explanation:
You have to find the common denominator and divide both numbers by that for example: 6 and 21 they can both be equally divided by 3 without becoming a fraction or a decimal.(Pls do correct me if i'm wrong don't be scared to)