Answers
We have then:
x ^ 2-10x + 61
(x- (5 + 6i)) (x- (5-6i))
Checking:
(x- (5 + 6i)) (x- (5-6i))
x ^ 2 - x * (5-6i) - (5 + 6i) x + (5 + 6i) * (5-6i)
x ^ 2 - 5x + 6ix - 5x- 6ix + 25 - 30i + 30i + 36
x ^ 2 -10x + 61
Answer:
(x- (5 + 6i)) (x- (5-6i))
Related Questions
write 4(x+2) using the distributive property
Answers
The distributive property states that:
a(b+c)= ab+ac
4(x+2)= 4*x+4*2
4x+8 <== simplified expression
I hope this helps!
~kaikers
4x+8=4(x+2)
Four times X = 4x
Four times 2 = 8
=
4x+8
•• quilt squares are cut on the diagonal to form triangular quilt pieces the hypotenuse of the resulting triangle is 10 inches long what is the side length of each piece?
-5
-5√2
-5√3
-10√2
•• Find the length of the missing sides in the triangle a triangle is not Drawn to scale.
Answers
h²:s²+s²
h²=2s²
h²/2=s²
s=√(h²/2)
"h" is the hypotenuse (h=10 inches) and "s" is the length of the sides.
When you substitute the value of the hypotenuse into the formula s=√(h²/2), you obtain the sides length:
s=√(h²/2)
s=√(10²/2)
s=5√2
What is the side length of each piece?
The answer is: 5√2
2)Tan(α)=Opposite/Adjacent
α=30°
Opposite=17
Adjacent=x
When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:
Tan(α)=Opposite/Adjacent
Tan(30°)=17/x
x=17/Tan(30°)
x=17√3
Sin(α)=Opposite/Hypotenuse
α=30°
Opposite=17
Hypotenuse=y
Then, you have:
Sin(30°)=17/y
ySin(30°)=17
y=17/Sin(30°)
y=34
A pair of diamond earrings has been marked up 50% and is now selling for $198.00. How much were the earrings before the mark-up?
Answers
Final answer:
The original price of the diamond earrings before a 50% markup that led to a final selling price of $198.00 was $132.00.
Explanation:
The question asks us to find the original price of the diamond earrings before a 50% markup that resulted in a final selling price of $198.00. To solve this, we use the markup formula, which is Final Price = (Original Price) × (1 + Markup Percentage). Here, the Final Price is $198.00 and the Markup Percentage is 50%, or 0.50 when expressed as a decimal.
First, we rearrange our formula to solve for the Original Price:
Original Price = Final Price ÷ (1 + Markup Percentage). Plugging in the given values, we have: Original Price = $198.00 ÷ (1 + 0.50) = $198.00 ÷ 1.50.
Doing the computation: Original Price = $132.00. Therefore, the earrings were priced at $132.00 before the 50% markup.
t takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?
Answers
Because 5/35 =7/n which would then =245/5 which equals 49
Answer:
The time it takes to download 7 songs is 49 seconds.
Step-by-step explanation:
It is about a division problem.
The first step is to determine how long it takes to download just one song. You must divide the total seconds by the total songs downloaded. The result would be the time required to download just one song.
[tex]\frac{35\, seconds}{5\, songs}=7\frac{seconds}{song}[/tex]
The previous value indicates that the download time is 7 seconds per song.
The second step is to determine how long it takes to download 7 songs. With the previous value in mind, you must multiply the time it takes to download one song by the 7 songs that Dariya wants to download, to obtain the total time it takes to download the 7 songs.
[tex]\frac{7\, seconds}{1\, song}\times 7\, songs=49\, seconds[/tex]
Thus, the time it takes to download 7 songs is 49 seconds.
Emily sold 66 boxes of cookies for a fundraiser. If she sold 40% of the total boxes of cookies sold for the fundraiser, how many boxes of cookies were sold for the fundraiser total?
Answers
Drag the correct steps into order to evaluate 42 + t/6 for t = 12.
Answers
The value of the expression for the given value of t is 44
What is an expression?
From the question, we are to evaluate the given expression for t = 12
The given expression is
42 + t/6
To evaluate the given expression for t = 12, we will substitute 12 for t in the expression,
That is,
42 + t/6 becomes
42 + 12/6
NOTE: 12/6 = 2
Then, we get
42 + 2
= 44
Hence, the value of the expression for the given value of t is 44.
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A whale has a tracking device attached to it. The whale traveled 184 miles in 6 hours. About how fast did the whale swim per hour?
Answers
Final answer:
To find the whale's average speed per hour, divide the total distance of 184 miles by the time of 6 hours, resulting in an average speed of approximately 30.67 miles per hour.
Explanation:
The question asks for the speed of a whale per hour based on a certain distance traveled over a period of time. To calculate the speed of the whale, we can use the formula:
Speed = Distance ÷ Time
In this case, the whale traveled 184 miles in 6 hours. Using the formula, we divide 184 miles by 6 hours:
Speed = 184 miles ÷ 6 hours = 30.67 miles per hour
So, the whale swam at an average speed of about 30.67 miles per hour.
what is 1 1/2 times greater than 50
Answers
When you multiply 50 by 1.5, you get a product of 75; therefore, your answer is going to be 75.
I hope this helps!
The answer would be 75 brother
Again pls help me. I will mark you brainly!! :)))))))))))
Answers
A = 1/2 · (3+2) · 3 = 1/2 · 5 · 3 = 7.5 units²
The answer is 7.5 units².
enter a positive value for n that makes this statement true:1×n is less than 1 but greater than 0
Answers
N=0.5
1x0.5=0.5 which is less than 1 but greater than 0
The possible value of n is,
⇒ n = 1/2
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The statement is,
1×n is less than 1 but greater than 0
Now, We can write as;
⇒ 0 < 1 × n < 1
Simplify as;
⇒ 0 < n < 1
Thus, The possible value of n is,
⇒ n = 1/2
⇒ n = 0.5
Thus, The possible value of n is,
⇒ n = 1/2
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Calculate the rise and run and find the slope ( 4,1) and (3,1)
Answers
Plug it into the slope formula:
m= (y2-y1)/(x2-x1)
(4,1) <== (x1, y1) (3,1) <=== (x2,y2)
m= (1-1)/(3-4)
m=0/-1
The rise is 0. The run is -1.
The slope is 0. 0/-1= 0 0 out of -1 is 0.
I hope this helps!
~kaikers
Find an equation of the plane. the plane through the point (2, 0, 5) and perpendicular to the line x = 7t, y = 6 − t, z = 4 + 5t
Answers
P: (2,0,5)
L: (0,6,4)+t(7,-1,5)
and required plane, Π , passes through P and perpendicular to L.
The direction vector of L is V=<7,-1,5>.
For Π to be perpendicular to V, Π has V as the normal vector.
The equation of a plane with normal vector <7,-1,5> passing through a given point P(xp,yp,zp) is
7(x-xp)-1(y-yp)+5(z-zp)=0
Thus the equation of plane Π passing through P(2,0,5) is
7(x-2)-y+5(z-5)=0
or alternatively,
7x-y+5z = 14+25
7x-y+5z = 39
A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag at random, what is the probability that it is a blue ball? Answers have been rounded to the tenths place.
Answers
Answer: Hello there!
in the bag we have:
5 blue balls, 4 red balls, and 3 orange balls.
This adds up to 5 + 4 + 3 = 12 balls in total.
If we took a ball at random, the probability tath this ball is blue is equal to the quotient between the number of blue balls and the total number of balls.
this is P = 5/12 = 0.4166
now we need to round it to the tenths place, this is the first number after the decimal point, in this case, a 4.
To round it we need to see the number that is after if it is 5 or bigger we round up, if is smaller than 5 we round down. In this case, is a 1, means that we need to round down
p = 0.4
If a ball is picked from the bag at random, the probability that the ball taken was a blue ball, is equal to p = 0.4
A girl stands 160 cm tall she stands 360 cm away from a lamp post at night her shadow from the light is 90 cm long how high is the lam post
Answers
h1/b1=h2/b2
h1 is the height asked.
b1=360 cm+ 90 cm
b1=450 cm
h2=160 cm
b2=90 cm
2. When you substitute these values into h1/b1=h2/b2, you obtain:
h1/450 cm=160 cm/90 cm
3. Now, you must clear the height "h1". Then, you have:
h1=(160 cm)(450 cm)/90 cm
h1=72000 cm²/90 cm
h1=800 cm
How high is the lamp post?
The answer is: 800 cm
Final answer:
To find the height of the lamppost given the girl's height, distance from the lamp post, and shadow length, set up a proportion to calculate the lamp post's height.
Explanation:
A girl stands 160 cm tall and stands 360 cm away from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamppost?
Set up a proportion: Lamp post height / Girl's height = Lamp post shadow length / Girl's shadow length.
Substitute the values: Lamp post height / 160 cm = 360 cm / 90 cm.
Solve for the lamp post height: Lamp post height = (360 cm * 160 cm) / 90 cm = 640 cm.
Tell which number is prime: 31, 49, 88, 91.
Answers
If a number is divisible by something, then it isn't prime:
For example:
49/7= 7 88/8= 11 91/13=7
31 is the prime number.
I hope this helps!
~kaikers
A website developer is designing a website for a clothing company . Clothing items will be arranged on a web page in a rectangular display showing 32 clothing items, with the same number of items in each row . How many ways can the display be arranged?
Answers
32P= 32!= 2.63* 10^35 possible ways
Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly.
Answers
have a nice day!!
would you measure the length of a bench in centimeters or in meters .explain your choice
Answers
A medical testing laboratory saves money by combining blood samples for tests, so that only one test is conducted for several people. the combined sample tests positive if at least one person is infected. if the combined sample tests positive, then individual blood tests are performed. in a test for gonorrhea, blood samples from 30 randomly selected people are combined. find the probability that the combined sample tests positive with at least one of the 30 people infected. based on data from the centers for disease control, the probability of a randomly selected person having gonorrhea is 0.00114. round your answer to four decimal places.
Answers
We will first find the probability that none of the 30 people sampled are infected. Since the probability of one person being infected is 0.00114, the probability that someone is not infected is 1-0.00114 = 0.99886. The probability that none of the 30 people are infected would be (0.99886)^30 = 0.966359. We subtract this from one to find the probability that at least one person is infected:
1 - 0.966359 = 0.0334.
What value of x will make the triangles similar by the SSS similarity theorem?
15.9
59
77
96.8
Answers
SSS similarity theorem states: If the corresponding sides of two triangles are proportional, then the two triangles are similar.
You have two isosceles triangle, then if
[tex]\dfrac{44}{20}=\dfrac{x}{35},\\ \\x=\dfrac{44\cdot 35}{20}=11\cdot 7=77,[/tex]
two isosceles triangles will be similar by SSS theorem.
Answer: correct choice is C.
The value of x that will make the triangles similar by SSS similarity theorem is;
x = 77.
We are told that the 2 triangles are similar by SSS theorem.
Now, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem
Thus, in our 2 given triangles ,applying the SSS postulate gives;
x/35 = 44/20
Applying the multiplication property of equality, let us multiply both sides by 35 to get;
x = (44 * 35)/20
x = 77
Thus, in conclusion the value of x that will make the triangles similar by SSS similarity theorem is 77.
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How would you classify the number 125?
A.
perfect square
B.
perfect cube
C.
both a perfect square and a perfect cube
D.
neither a perfect square nor a perfect cube
Answers
Its a perfect cube.
Answer:
Its a perfect cube.
Step-by-step explanation:
When visiting Baltimore, MD, you need to rent a taxi to get from your hotel to the National Aquarium. The taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile. Write an equation in slope- intercept form that models this situation.
Answers
Answer:
The slope- intercept form this situation is given by y = 0.75x + 3 .
Step-by-step explanation:
The slope- intercept is given by
y = mx + c
Where m is the slope, c is the y intercept .
As given
When visiting Baltimore, MD needs taxi to get from your hotel to the National Aquarium.
The taxi company charges a flat fee of $3.00 for using the taxi and $0.75 per mile.
Let us assume that the total amount charge by the taxi be y .
Let us assume that the number of miles travelled by the taxi be x.
Than
Total amount charge by taxi = Amount charge by the taxi per miles + Flat free charge .
y = 0.75x + 3
(Here m = 0.75 and c = 3)
Therefore the slope- intercept form this situation is given by y = 0.75x + 3 .
The equation that models this situation is y = 0.75x + 3.
To write an equation in slope-intercept form that models the situation of renting a taxi in Baltimore, MD, you can use the following equation:
Total Cost (C) = (Cost per Mile) * (Number of Miles) + (Flat Fee)
In this case, the cost per mile is $0.75, and the flat fee is $3.00. So, the equation becomes:
C = 0.75x + 3.00
Here, C represents the total cost of the taxi ride, and x represents the number of miles traveled. This equation is in slope-intercept form (y = mx + b), where:
"C" is the dependent variable (y),
"x" is the independent variable (the number of miles traveled),
0.75 is the slope (m), which represents the cost per mile, and
3.00 is the y-intercept (b), which represents the flat fee.
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A circle has center O(−3, 1) and radius 10. Which of the following points is on the circle?
A. V(−3, −4)
B.X(5, −2)
C.Y(−6, 0)
D.Z(5, 7)
Answers
1. common equation of circle is (x-a)²+(y-b)²=r², where a,b - coordinates of the centre, r - radius of the circle.
2. using point O and radius: (x+3)²+(y-1)²=100 - the equation of the circle.
3. substituting point V,X,Y and Z into the equation of the circle:
V: (-3+3)²+(-4-1)²=100 - false;
X: (5+3)²+(-2-1)²=100- false;
Y: (-6-3)²+(0-1)²=100 - false;
Z: (5+3)²+(7-1)²=100 - true.
Answer: D.
round 7.86 to the nearest tens
Answers
Tom weighed 110 pounds at the beginning of the year. By June, he had gained 13 pounds, but in August he lost 5. How much did he weigh at the end of the year if he gained 4 more pounds during the month of November?
Answers
Tom weighed 122 pounds at the end of the year.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Tom weighed 110 pounds at the beginning of the year.
Pounds gained in June = 13
Pounds lost in August = 5
Pounds gained in November = 4
Now,
Total pounds at the end of the year.
= 110 + 13 - 5 + 4
= 110 + 17 - 5
= 110 + 12
= 122 pounds
Thus,
122 pounds at the end of the year.
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A pipe is 30 feet long. It needs to be cut into pieces that are each 2/3 feet long. How many pieces can be made from the pipe? Write the answer in simplest form.
Answers
= 30 ÷ 2/3
multiply by reciprocal of 2/3
= 30 * 3/2
= 90/2
= 45
ANSWER: Total number of pieces that can be cut is 45.
Hope this helps! :)
To find the number of pieces, divide the length of the pipe by the length of each piece. The number of pieces that can be made is 45.
Explanation:To find the number of pieces that can be made from the pipe, we need to divide the length of the pipe by the length of each piece.
Length of each piece = 2/3 feet
Number of pieces = Length of pipe/Length of each piece = 30 feet / (2/3 feet)
Number of pieces = 30 * 3/2 = 45
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Which formula can be used to describe the sequence?
-3, 3/5, -3/25, 3/125, -3/625
A. f(x) = -3(1/5)^x-1
B. f(x) = -3(1/5)^x-1
C. f(x) = -1/5(3)^x-1
D. f(x) = -1/5(-3)^x-1
Answers
Answer:
Step-by-step explanation:
B
f(x) = -1/5(3)ˣ⁻¹ formula can be used to describe the sequence.
The given sequence is -3, 3/5, -3/25, 3/125, -3/625
We can observe that each term alternates between negative and positive.
Additionally, the denominator of each term is increasing by a power of 5, while the numerator alternates between -3 and 3.
The formula f(x) = -1/5(3)ˣ⁻¹, fits this pattern.
By plugging in the values of x = 1, 2, 3, 4, and so on, the formula generates the corresponding terms of the sequence:
f(1) = -1/5(3)¹⁻¹= -3/5
f(2) = -1/5(3)²⁻¹ = 3/25
f(3) = -1/5(3)³⁻¹ = -3/125
f(4) = -1/5(3)⁴⁻¹ = 3/625
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Eric jogged 3 1/4 miles on Monday, 5 5/8 miles on Tuesday, and 8 miles on wednesday. Supposed he continues the pattern fro the remainder of the week. How far will Eric jog on Friday
Answers
Here is your answer:
The proper answer to this question is "5 5/8".
Monday: 3 1/4
Tuesday: 5 5/8
Wednesday: 8
Thursday: 3 1/4
Friday: 5 5/8
If you need anymore help feel free to ask me!
Hope this helps!
Answer:
20 miles 1/2
Step-by-step explanation:
I did the steps my teacher taught me
WILL GIVE BRAINLIEST TO PERSON THAT IS CORRECT!!!!
Hana rented a car for a week for $200 plus $0.25 per mile. After driving for one week, she owed the rental company $362.50.
Which equation represents the amount she paid to the rental company, and how far did Hana drive during the week?
$200 + $0.25m = $362.50; m = 650 miles
$200 + $0.50m = $250; m = 140 miles
$200 - $0.25m = $725; m = 2,250 miles
$200 - $0.25m = $362.50; m = 1,450 miles
Answers
Hope this helps!!
Alexa knock down 70 bowling pins in 10 frames. in each frame, alexa nocked down the same number of pins. how many pins did Alexa knock down in each frame?