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
can someone plz help me.
Answers
Answer:7 hours
Step-by-step explanation:
what is the x-intercept of
4x-y=-5
Answers
Answer:
(-5/4,0)
Step-by-step explanation:
sfewrthewbtwebrhwebrthbweytbewhibthewghuelbtrueruhewbthujbrultbhrt
Answers
Need help just with number 2 please and thank you!!
Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
A person whose eye level is 15 feet above the ground is looking at a building. The angle of elevation to the top of the building is 40° and the angle of depression to the bottom of the building is 15°. What is the height in feet of the building?
Answers
Answer:
61.97 feets
Step-by-step explanation:
Using trigonometry :
Horizontal distance between the person and building,
Let distance = d
Tan 15 = 15 / d
0.2679491 * d = 15
d = 15 / 0.2679491
d = 55.980781
To obtain the height, h :
tan 40 = (h-15)/d
d = 55.98
h-15 = 55.98 (tan 40°)
h - 15 = 55.98 * 0.8390996
h - 15 = 46.972797
h = 46.972797 + 15
h = 61.972797
h = 61.97 feets
PLEASE HELP ME ANSWER THIS:(
Answers
I hope this helps I don’t know the other ones
Answer:
#1y = x² - 8x - 20 y = (x - 10)(x + 2), zero's are (10, 0) and (- 2, 0)Vertex is:
x = -8/-2 = 4, y = 4² - 8*4 - 20 = -36Correct choice is A
#2x² + 1/3x = 4x² + 2*x*(1/6) + (1/6)² = 4 + 1/36(x + 1/6)² = 4 1/36Correct choice is A
#3(-√-1) = -ii² = -1 ⇒ i²ⁿ = -1i²ⁿ⁺¹ = -iCorrect choice A or B
12m +8 – 5m + 2 + m = 6(m + 1)
m =
Answers
Answer:
m = −2
Step-by-step explanation:
Give me brainllest or お前はもう死んでいる
Answer:
m=-2
Step-by-step explanation:
what expressions represent divide the difference of 27 and 6 by the difference of 12 and 9?
Answers
Answer:
27-6/12-9
Step-by-step explanation:
27-6/12-9
21/3=7
(27 - 6) ÷ (12 - 9)
(27 - 6) ÷ (12 - 9)
(27 - 6) ÷ (12 - 9)
If my initial angle is 30 degrees, what is the negative coterminal angle?
Answers
Answer:
Step-by-step explanation:
Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.
Answer:
-330°Step-by-step explanation:
Coterminal angles have a difference of 360° or multiples of 360°.
Negative coterminal angle with 30° is:
30° - 360° = -330°Suppose a sample of 256 was taken from a population with a standard deviation of 64 centimeters. What is the margin of error for a 68% confidence interval?
A. 6
B. 8
C. 10
D. 4
Answers
The correct margin of error for a 68% confidence interval is option D 4 centimeters.
Let's calculate the margin of error correctly for a 68% confidence interval.
To calculate the margin of error, we need to determine the critical value associated with a 68% confidence interval. For a normal distribution, the critical value is approximately ±1 standard deviation.
Given that the standard deviation is 64 centimeters, the margin of error can be calculated as:
Margin of Error = 1 * (Standard Deviation / √Sample Size)
= 1 * (64 / √256)
= 1 * (64 / 16)
= 1 * 4
= 4
Therefore, the correct margin of error for a 68% confidence interval, based on the given information, is 4 centimeters. The correct answer is option D.
Know more about interval here:
https://brainly.com/question/30460486
#SPJ8
Answer:
D
Step-by-step explanation:
Just took the test
A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?
Answers
i think I have the right answer but I’m not sure
please help
Answers
Answer:
1c = 0.5pt
20x0.5=10 pt 0 c
Step-by-step explanation:
ANSWER FOR BRAINLIEST AND 50 POINTS:
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MEAN of the temperatures. Round to the nearest tenths place.
A. 82.3
B. 89
C. 83
D. 78
Answers
Answer:
Mean of temperatures = 82.3 (Approx.)
Step-by-step explanation:
Given:
Number of days = 7 days
Temperatures in 7 days = 81, 78, 83, 89, 80, 87, 78
Find;
Mean of temperatures
Computation:
Mean = Sum of all observation / Number of observation
Mean of temperatures = Sum of all seven days temperature / Number of days
Mean of temperatures = [81 + 78 + 83 + 89 + 80 + 87 + 78] / 7
Mean of temperatures = 576 / 7
Mean of temperatures = 82.2857
Mean of temperatures = 82.3 (Approx.)
Which of the expressions below could be used to find the lateral surface area of the triangular prism shown? 10 cm A. (16+10+ 10)(12) B.(16+10+10)(6) 10 cm C. (16+10 + 10X12) • 2/48) D. (12.12.16. 16)(10) 76 cm
Answers
Answer: it’s ( A ). :)
Step-by-step explanation:
20 POINTS
The triangles are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second. The figures are not drawn to scale.
Answers
Answer:
B or C
Step-by-step explanation:
Now this one is very very confusing for me but i'm leaning more to B, if someone else gets a different answer though i would listen to them, but it's one of those two but i think its B.
In a bag, there are 6 blue, 1 purple, 3 yellow, and 5 orange marbles. If a single choice is made from the
bag, find the probability of choosing a yellow marble
Answers
Answer:
it would be a 3/15 or 1/5 chance
Step-by-step explanation:
Answer:
Its 3/15 which is 1/5. The percentages are 20%.
Step-by-step explanation:6+1+3+5=15
yellow marbles:3/15
Simplified version:1/5.
And the percentages is 20%
A ball is kicked upward with an initial velocity of 56 feet per second. The ball's height h (in feet) can be expressed as a function of time t (in seconds) by the equation h = -16t2 + 56t. How much time does the ball take to reach its highest point?
1.75 seconds B) 2.50 seconds C) 2.75 seconds D) 3.50 seconds
Answers
Answer:
1.75
Step-by-step explanation:
h(t) = -16t² + 56t
h'(t) = -32t + 56
To find time at max height equate h' to 0
0 = -32t + 56
t = 56/32 = 1.75 s
It takes 1.75 s to reach max highest point
DUE NOW!!! HELP IF U CAN
Answers
Which three lengths could be the lengths
of the sides of a triangle?
A. 4 cm, 8 cm, 13 cm
B. 13 cm, 11 cm, 23 cm
C. 5 cm, 18 cm, 12 cm
D. 25 cm, 8 cm, 16 cm
Answers
Given:
The three lengths in the options.
To find:
Which three lengths could be the lengths of the sides of a triangle?
Solution:
If the sum of two smaller sides is greater than the largest side, then the three sides can form a triangle otherwise the triangle is not possible.
In option A, the three sides are 4 cm, 8 cm, 13 cm. Here, the largest side is 13 cm.
Sum of two smaller sides is:
[tex]4+8=12[/tex]
[tex]4+8<13[/tex]
So, the triangle is not possible.
In option B, the three sides are 13 cm, 11 cm, 23 cm. Here, the largest side is 23 cm.
Sum of two smaller sides is:
[tex]13+11=24[/tex]
[tex]13+11>23[/tex]
So, the triangle is possible.
In option C, the three sides are 5 cm, 18 cm, 12 cm. Here, the largest side is 18 cm.
Sum of two smaller sides is:
[tex]5+12=17[/tex]
[tex]5+12<18[/tex]
So, the triangle is not possible.
In option D, the three sides are 25 cm, 8 cm, 16 cm. Here, the largest side is 25 cm.
Sum of two smaller sides is:
[tex]8+16=24[/tex]
[tex]8+16<25[/tex]
So, the triangle is not possible.
Therefore, the correct option is B. The three lengths 13 cm, 11 cm, 23 cm could be the lengths of the sides of a triangle.
Find the range & interquartile range of the data set represented by this box plot.
Answers
Answer:
60 and 25
Step-by-step explanation:
The range is the difference between the maximum value and the minimum value.
maximum value = 125, minimum value = 65
range = 125 - 65 = 60
------------------------------------------
The interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁
Q₃ is the value at the right side of the box = 115
Q₁ is the value at the left side of the box = 90
interquartile range = 115 - 90 = 25
!! 50 POINTS PLEASE HURRY !!
FIND THE VOLUME OF THE CYLINDER, CONE AND SPHERE
Answers
Answer:
1) 678.24
2)366.333.... repeating
3) 254.34
Step-by-step explanation:
1) 3.14 x 6² = 113.04 ---> 113.04 x 6 = 678.24
2) 3.14 x 5² = 78.5 ---> 78.5 x 14 = 1099 ---> 1099/3 = 366.333.... repeating
3) 3.14 x 9² = 254.34
The diameter of a circle is 14 ft.
What is the area of the circle in terms of π?
Answers
Answer:
49π ft²
Step-by-step explanation:
[tex]A=\pi r^2[/tex] where r is the radius of the circle
To find the radius, divide the diameter by 2:
14 ft ÷ 2 = 7 ft
Plug the radius 7 ft into the equation
[tex]A=\pi (7)^2\\A=49\pi[/tex]
Therefore, the area of the circle in terms of pi is 49π ft².
I hope this helps!
Answer:
49π
Step-by-step explanation:
Diameter=14
Radius=14/2=7
Area=πr squared
Area=7 squared π
Area=49π
These box plots show the daily high temperatures in two cities over a
two-week period. Express the difference between the median temperatures
as a multiple of the IQR for each city. Show your work.
London
Honolulu
60
50 52 54 56 58
High Temperature (°F)
4
80 82 84 86
High Temperature (°F)
Answers
sorry i don't know. this answer.
What is a 1/15 cup in cooking??
Answers
Answer: 1/5 cup with 2 tps
Step-by-step explanation:
who can help me? Pleaseee
Answers
Answer:
x = 6
Step-by-step explanation:
2x + 29 = 9x - 13
29 = 7x - 13
42 = 7x
6 = x
A car uses 10 liters of gasoline every 180 km. How many km. will it travel with 48 liters?
Answers
Answer:
864 km
Step-by-step explanation:
Hope this helps! (I would appreciate brainliest, if not that's okay!!)
What is the probability of landing on a 9 and then landing on a 7?
Answers
Answer:
what are we landing on? D 10s D20s?...
Step-by-step explanation:
:/
11 (6 - y) = ??
THANK YOUUU
Answers
Answer:
The Answer is gonna be 66-11y
EXPLANATION :
11 (6 - y)
11x6=66
11(y)=11y
So we will get 66-11y
I really need help on this please
Answers
Answer:
2 inches
Step-by-step explanation:
i think that this would be monday*3 + thursday*2 in order to find all five days
so (0.5*3)+(0.25*2)= 2inches.
hope this helps!