Answers
Answer:
1) C. 4 - 3·i
2) D. The second graph shares the same vertex, is inverted, and opens wider than the first graph
3) C. y = (x - 2)² + 3 would shift right two units
4) B. Figure B' is congruent but not similar to figure B
5) A. m∠k' = m∠k
Step-by-step explanation:
1) Given that the real part of the complex number = 4
The imaginary of the complex number = -3
The general form of representing complex numbers is z = a + b·i, we have;
The binomial equivalent to the complex number is z = 4 - 3·i
2) The first graph equation is y = 2·x²
When x = 1, y = 2 and when x = 2, y = 8
The vertex = (h, k)
Where;
h = -b/(2.a) and b = 0, a = 2
∴ h = 0/(2 × 2) = 0
h = 0
k = f(h) = f(0) = 2 × 0² = 0
k = 0
The vertex, (h, k) = (0, 0)
The coefficient, 'a' is positive, therefore, the graph opens down
The second function, y = -(1/2)·x² also has a vertex (h, k) = (0, 0)
The coefficient, 'a' is positive, therefore, the graph opens up
When x = 1, y = -1/2 and when x = 2, y = -2
Therefore, the second function is wider
Therefore;
The second graph shares the same vertex, is inverted, and opens wider than the first graph
3) The given functions are;
First function; y = x² + 3 and second function; y = (x - 2)² + 3
First function;
When x = 1, y = x² + 3 = 1 + 3 = 4
∴ When x = 1, y = 4
Second function;
When y = 4, y = 4 = (x - 2)² + 3
√(1) = x - 2
x = 3
∴ When x = 3, y = 4
First function;
When x = 2, y = x² + 3 = 4 + 3 = 7
∴ When x = 2, y = 7
Second function;
When y = 7, y = 7 = (x - 2)² + 3
√4 = 2 = (x - 2)
x = 2 + 2 = 4
x = 4
∴ When x = 4, y = 7
Therefore, the second function, y = (x - 2)² + 3, has the x-value shifted 2 units to the right for a given value of 'y'
4) The lengths of the sides of figure B are 3 by 4, the lengths of the sides of figure B' 4.5 by 6
The ratio of the corresponding length and width of figures B and B' are;
3/4.5 = 4/6
Therefore, figure B' is similar but not congruent to figure B
5) A rotation and a reflection are rigid transformations and therefore, the dimensions and measure of the original figure and the image are the same;
∴ m∠k' = m∠k.
Related Questions
Convert 0.5 liters to milliliters.
Answers
Answer:
500 millilitres
Step-by-step explanation:
I hope it will help you
Answer:
Step-by-step explanation:
1 litre = 1000 millilitres
0.5 Litre = 500 milliliters
What is the difference between an inscribed angle and a central angle?
Answers
Answer/Step-by-step explanation:
An inscribed angle is an angle that is formed by two chords in a circle. The vertex of an inscribed angle is at any point on the circumference of the circle.
On the other hand, a central angle is an angle that is formed by two radii of a circle. The vertex of a central angle is at the centerbof a circle.
Thus, from the diagram attached below, <EFG is an inscribed angle while <EOG is the central angle of the circle O.
Inscribed angle = ½ of the central angle.
Ms. Robinson has $75 in her bank account and is depositing $15
each week. Ms. LaSpina has $225 in her bank account and is
withdrawing $10 each week. How many weeks will it take for the
bank accounts to have the same amount? What will that amount
be?
Answers
Answer:
It will take 6 weeks
Step-by-step explanation:
Ms. Robinson: 75+15(6)=$160
Ms. LaSpina: 225-60 =$160
Therefore both will take 6 weeks
165 Students went on a filed trip. three buses were filled and 21 students traveled in cars. how many students were in each bus?
Answers
Answer:
48 students in each bus
Step-by-step explanation:
HELPP plz I need the answer with step by step don't send a file plz
Answers
Answer:
13
Step-by-step explanation:
5^2 + 12^2 = Y
Sqrt Y = X
match the terms to the definition
Answers
Answer
1,3,4,2
Step-by-step explanation:
2. the distance around the outside of a circle
3. the ratio of the circumference of a circle to its diameter, approximately 3.14
4. the distance across a circle through the center
Rewrite the following equation in standard form. -5/6x - 2/5y = 10/3
Answers
Answer:
the answer would be 25x+12y= -100
Pls solve this for 80 points
Answers
Answer and Step-by-step explanation:
For this problem, b is the y-intercept.
On the graph, the line intersects the y-axis at (0, 10).
That means b is 10.
For the slope, we need to find the rise over run of the line. We see that the line goes up 2 and over 4. This simplifies to [tex]\frac{1}{2}[/tex].
That means m is [tex]\frac{1}{2}[/tex].
#teamtrees #PAW (Plant And Water)
Step-by-step explanation:
b is the y intercept
the ordered pair is 0, 10
There are 5 blue
candies, 6 red
candies, and 9 yellow
candies. What is the
probability of
randomly picking a red
candy? Express your
answer as a percent.
Answers
Answer:
The probability of randomly picking a red candy is 1/20 and In percentage value 5%
Step-by-step explanation:
There are 5 blue candies, 6 red candies, and 9 yellow candies.
Now, Total
5 + 6 + 9 = 20 candies
Now, The probability of randomly picking a red candy is 1/20
Now, In percentage
1/20 × 100% = 5%
Thus, The probability of randomly picking a red candy is 1/20 and In percentage value 5%.
-TheUnknownScientist
Joe bought two pizzas for 16.78 He wants to give the delivery person an 18% tip. How much money should should give the delivery person
Answers
Answer
23
Step-by-step explanation:
Answer:
$23.00
Step-by-step explanation:
kelly buys a shirt for $14 dollars and pays the store clerk $20 how much change will kelly get back
Answers
Answer:
6
Step-by-step explanation:
6 maybe
I’m just confused help!
Answers
Answer:
Step-by-step explanation:
180
Select Transform to change the drawing of the figure. What is the area of the front of the prism? Area = cm2 2 cm 3 cm 6 cm Transform
Answers
Answer:12 cm2
Step-by-step explanation:I’m smart
Answer:
it was 12
Step-by-step explanation:
I did the quiz, hope this helps have a good day.
(*˘︶˘*).｡*♡
A school found that the number of students buying lunch from the cafeteria had declined. The school wants to revise its current lunch menu.
They asked parents and students to suggest new meals.
Which method of selecting new meals will produce an unbiased result?
Answers
all the suggested meals will be shuffled into one stack and every 10th suggestion will be used
hamid has gained weight.
he now weighs 88kg which is 10% higher than his normal weight
what is hamids normal weight?
Answers
Answer:
8.8 kilograms
Step-by-step explanation:
Answer: 83.6 Kg
Step-by-step explanation:
x * 0.1 = y ---> x = y/0.1
88 - y = x
y/0.1 = 88 - y
2y = 88 * 0.1
y = 4.4
88 - 4.4 = 83.6Kg
A random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y. A 90 percent confidence interval to estimate the difference in means is given as (−1.25,0.87)
.
Consider a change in the sample sizes such that a random sample of size 52 is selected from population X and a random sample of size 63 is selected from population Y. When all other things remain the same, what effect would such a change have on the interval?
Answers
Answer:
The level of confidence will increase.
Step-by-step explanation:
Could be wrong
The change in the sample size will lead to a decrease in the width of the interval.
What is a sample size?A sample size simply means the number of subjects that are taken from the population for research.
In this case, increasing the sample size will decrease the standard error and therefore, the width of the confidence interval will reduce.
Therefore, as the sample size increases, the interval reduces.
Learn more about sample size on:
https://brainly.com/question/14470673
PLEASE HELP! I don’t understand
Answers
Answer:
(-1,0) and (5,0)
Step-by-step explanation:
The roots are the points where the y-value is 0 and the point lies exactly on the x-axis.
(blank,0)
In this parabola, the points that are exactly on the x-axis is (-1,0) and (5,0)
4. How many ways can you shuffle 7 songs in a playlist?
A. 832,543
B. 720
C. 5040
D.49
Answers
Answer:
5040
Step-by-step explanation:
7×6×5×4×3×2×1=5040
We have that the the amount of ways you can ways can you shuffle 7 songs in a playlist is mathematically given as
P=5040
FactorialQuestion Parameters:
How many ways can you shuffle 7 songs in a playlist?
Generally the equation for the ways to play the songs are mathematically given as
Since the songs are ,therefore it will have seven factorials
P=7*6*5*4*3*2*1
P=5040
Therefore, the amount of ways you can ways can you shuffle 7 songs in a playlist is
P=5040
For more information on Arithemetic visit
https://brainly.com/question/22568180
need help, I'm stuck on this
Answers
Answer:
The answer is 729/64.
Step-by-step explanation:
I would first simplify the equation.
In the denominator, you can get rid of b^0 because that just equals 1.
For the a's in the numerator and denominator, you have to flip them so the exponents can be positive.
Equation: [tex](\frac{3ab^2}{2a^3})^2[/tex]
Now, you can subtract a and a^3. This would be 1/a^2.
Equation: [tex](\frac{3b^2}{2a^2})^2[/tex]
Now, you can square the whole equation.
Equation: [tex]\frac{9b^4}{4a^4}[/tex]
This is the simplified equation. Now you can plug in -2 and -3.
Equation: [tex]\frac{9(-3)^4}{4(-2)^4}[/tex]
Equation: [tex]\frac{9(81)}{4(16)}[/tex]
Equation: 729/64
100 points / please help
A baker has three different recipes. Recipe A uses 3 cups of flour to make 12 rolls. Recipe B uses 5 cups of flour to make 24 rolls. Recipe C uses 11 cups of flour to make 48 rolls. Which recipe uses the most cups of flour per roll?
a) Recipe A
b) Recipe B
c) Recipe C
d) The ratios are all proportional
Answers
Answer:
Recipe A
Step-by-step explanation:
Hope this helped!!!
Answer:
[tex]{\huge\red{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
Recipe A:Cups of flour used = 3
Rolls made = 12
Cups of flour per roll
[tex] = \frac{3}{12} \\ = \frac{1}{4} \\ = 0.25[/tex]
Recipe B:Cups of flour used = 5
Rolls made = 24
Cups of flour per roll
[tex] \frac{5}{24} \\ = 0.20[/tex]
Recipe C:Cups of flour used = 11
Rolls made = 48
Cups of flour per roll
[tex] \frac{11}{48} \\ = 0.22[/tex]
Now compare Recipe A, B & C.[tex]0.25 > 0.22 > 0.20[/tex]
Recipe A > Recipe C > Recipe B.
✏ So, Recipe A used the most cups of flour per roll (option a).
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]
Part 1: How many phone numbers can be made if all the digits (that is, 10 digits) need
to be filled in and any single digit number (0-9) can be used for any digit?
Part 2: How many phone numbers can be made if the first digit must be 1, the second digit must be a number in the range 3-5, the third digit must be a number in the range
(6-9), and the last seven digits can be any single digit number 0-9?
PLZ HELP ASAP WOULD GREATLY APPRECIATE IF U R HERE TO NOT HELP DON'T BOTHER OR DON'T PUT A LINK THAT LEADS TO NOTHING THANK YOU!
Answers
Answer:
100
Step-by-step explanation:
Just do 10 times 10
Can you give the picture with the problem? Im confused on what the problem is because i dont see an equation set.
Someone help and plz make sure it’s right will give brainiest if it is :)
Answers
Answer:
67....................
help me pleaseeeeeeeee
Answers
Answer:
x = 25 degrees
Step-by-step explanation:
the angle for a straight line is 180, so add 125 and 30 together, which gets 155. then subtract 155 from 180 which gets 25 degrees as x
Plzzzz help!!!!!!!!!!
Answers
Answer:
Add them then divide that my number of numbers there is...simple.
Step-by-step explanation:
Can someone Help please
Answers
Answer:
Answer:17 (I think)
Because if you look at the problem below Y u can see the patter 5+3=8 8+3=11 contiously adding 3 you get 17
3 cm
20 cm
4 cm
Find the volume of the rectangular prism.
[?] cm
Answers
Length x width x height
Plug them in and you get 240 cm
im having trouble. can someone please help me with this !
Answers
Answer:
28
Step-by-step explanation:
Answer:
x= 33
Step-by-step explanation:
The sum of the angles on a straight line is 180°. This is abbreviated as 'adj. ∠s on a str. line'.
104° +x° +(x +10)°= 180°
2x° +114°= 180°
2x°= 180° -114°
2x°= 66°
Divide both sides by 2:
x°= 66° ÷2
x°= 33°
x= 33
I need help. I'm confused on this question
Answers
Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answers
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
A bicyclist needs to pass two check points before completing a race. The matrix equation that represents the distance, in miles, from the starting point to checkpoint 1, y represents the distance from checkpoint 1 to checkpoint 2, and z represents the distance from checkpoint 2 to the finish line.
Answers
Answer:
A.
i believe you are right