Answer:
Step-by-step explanation:
A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.
To bisect CD, draw CD to the required length.
Open the compass to a radius greater than the the middle of CD.
With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.
Join the point of intersection of the two arcs by a line.
Label the point where the bisector passes through CD as M.
The construction would be as what is attached to this answer.
the sum of 12 and the quantity 8 times a number k is equal to 48
Answer:
12 + (8k) = 48
k= 9/2
Step-by-step explanation:
State the domain and range and determine if its a function
Answer:
The first element of a set which is linked with the element of second set is called domain.
The element of second set is known as range.
Answer:
When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Small sets of points are generally the simplest sorts of relations, so your book starts with those.
for example
State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}
The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:
domain: {2, 3, 4, 6}
range: {–3, –1, 3, 6}
(It is customary to list these values in numerical order, but it is not required. Sets are called "unordered lists", so you can list the numbers in any order you feel like. Just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)
While the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). Since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.
Brighton Company launched a new gaming console. They sold 200 consoles prior to the launch.
The number of consoles sold each day after the launch is shown by the graph below.
Answer: in the domain of this situation, there is no asymptote.
Step-by-step explanation:
Asymptote would be on the left where x is negative but this function only shows all positive values of X
The value of k is -0.25. The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold.
The graph shows that the number of consoles sold each day after the launch of the Brighton Company gaming console follows an exponential decay pattern. This means that the number of consoles sold each day is decreasing at a rate that is proportional to the number of consoles that have already been sold.
The equation that can be used to model this exponential decay pattern is:
N = A * [tex]e^{-kt[/tex]
where:
N is the number of consoles sold on day t
A is the initial number of consoles sold (200 consoles)
k is a constant that determines the rate of decay
e is the base of the natural logarithm
We can use the data from the graph to estimate the value of k. The first day after the launch, 180 consoles were sold. This means that on day 1, N = 180. The initial number of consoles sold, A, is known to be 200 consoles. Therefore, we can write the following equation:
180 = 200 * [tex]e^{-kt[/tex]
Solving for k, we get:
k = -ln(1.8) / 1
≈ -0.25
The value of k is approximately -0.25. This means that the number of consoles sold each day is decreasing at a rate of 25%.
We can use the equation to predict the number of consoles sold on future days. For example, on day 2, we would predict that 150 consoles would be sold. On day 3, we would predict that 120 consoles would be sold.
The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold. This is because the exponential decay pattern is not perfect. There are other factors that can affect the number of consoles sold, such as the availability of the console and the price of the console.
To learn more about graph here:
https://brainly.com/question/17267403
#SPJ2
If BC = 5x − 15, CD = 4x, and BD = 8x + 4, what is BD? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you please type it in a step by step.
Answer:
156
Step-by-step explanation:
CD+BC=BD
[tex](5x - 15) + 4x = 9x - 15 = 8x + 4 \\ x = 19 \\ bd = 8x + 4 = (8 \times 19) + 4 = 156[/tex]
sin3A/sinA-Cos3A/CosA=2
Answer:
sin3A/sinA-Cos3A/CosA=2
taking LCM
= Sin3A.CosA - Cos3A. SinA
SinA . CosA
= Sin(3A-A)
SinA . CosA
= Sin2A
SinA . CosA
= 2 SinA. CosA
SinA . CosA
=2
Step-by-step explanation:
The sum of the ages of Jacob and Jasmine is 66 years. 6 years ago, Jacob's age was 2 times Jasmine's age. How old is Jacob now?
Answer:
Jacob's age is 42
Jasmine's age is 24
Step-by-step explanation:
Let Jacob's age be x
Let Jasmine's age be y
x + y = 66
x - 6 = 2(y - 6)
x - 6 = 2y - 12
x - 2y = -12 + 6
x - 2y = -6
x + y = 66 ------- (1)
x - 2y = -6 ------- (2)
From (1),
x = 66 - y -------- (3)
Substitute the value of x in (2)
x - 2y = -6
66 - y - 2y = -6
-3y = -6 - 66
-3y = -72
y = -72/-3
y = 24
Solve for x in (1)
x + y = 66
x + 24 = 66
x = 66 - 24 = 42
x = 42, y = 24
Help ASAP please please
Answer:
5/6
Step-by-step explanation
How many x-intercepts can an absolute value graph have?
Answer:
Zero, One, Two
Step-by-step explanation:
It can never touch the x-axiswhen it's like
[tex]y=a|x-b|+c[/tex]
with
[tex]c>0[/tex]
it will be upward
it can touch only once when it's like[tex]y=a|x-b|[/tex]
it will touch it in [tex](b,0)[/tex]
It can touch twice when it's like[tex]y=a|x-b|-c[/tex]
with
[tex]c>0[/tex]
the equations are just an example, there can be other ways too
have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once
100 POINTS!!! ASAP-- Pls show work too TY
Answer:
I will help you but is there any picture that can help me answer the question?
Answer:
[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]
Step-by-step explanation:
So we know that Θ is acute and that:
[tex]\cos(\theta)=6/7[/tex]
First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.
The Pythagorean Identity is:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
We know that cosine is 6/7. Substitute:
[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]
Square:
[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]
Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:
[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]
Subtract:
[tex]\sin^2(\theta)=\frac{13}{49}[/tex]
Take the square root of both sides:
[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]
Simplify:
[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]
As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:
[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]
and we're done!
Between what two integers does the square root of 14 lie?
Answer:
3 and 4
Step-by-step explanation:
Find the equation of the line using the point-slope formula. Write the final equation using slope- intercept form. 6 (1,2) with a slope of - 7 Enter the exact answer.
Answer:
y = -7x + 9
Step-by-step explanation:
Point-slope form:
y - 2 = -7 (x -1)
y - 2 = -7x + 7
y - 2 + 2 = -7x + 7 +2
y = -7x + 9
On Thursday, a local hamburger shop sold a combined total of 580 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answer:
Hey there!
Let h be the number of hamburgers sold.
Let c be the number of cheeseburgers sold.
h+c=580
c=3h
4h=580
h=145
145 hamburgers were sold.
Let me know if this helps :)
I didn’t post the question I’m sorry but helppp :cc
Can someone help me simplify 16 > x +9
Answer:
7 > x
Step-by-step explanation:
16 > x + 9
you subtract 9 from both sides to get your variable by yourself and you keep the same sign
7 > x
f(x) = 2x – 1 What is f(13)?
Answer:
f(13) = 25Step-by-step explanation:
f(x) = 2x – 1
To find f(13) substitute the value of x that's 13 into f(x). That is for every x in f (x) replace it with 13
We have
f(13) = 2(13) - 1
= 26 - 1
We have the final answer as
f(13) = 25Hope this helps you
. Pay close attention to the order operations to find the value of: 26 + (10-2) = 4 + 3 - 6 Show each step:
There are 75 students in a speech contest. Yesterday, 2/5 of them gave their speeches. Today, 1/3
of the remaining students gave their speeches. How many students still haven't given their speeches?
Work Shown:
2/5 of 75 = (2/5)*75 = 0.4*75 = 30
Yesterday 30 people gave speeches. There are 75-30 = 45 people left.
1/3 of 45 = (1/3)*45 = 15
Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1/10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked
8 1/2
hours last week, how much money did she donate to the charity?
Answer: $9.86
Step-by-step explanation:
$11.60 ⋅ 8.5 = $98.60
$98.60 / 10 = $9.86
Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1
Answer: C) local maximum at x = -3; local minimum at x = 1/3
Step-by-step explanation:
Given the function:
f(x) = x^3 + 4x^2 - 3x - 4
Set f'(x) = 0
f'(x) = 3x² + 8x - 3
f'(x) = 0
3x² + 8x - 3 = 0
Using the quadratic function calculator :
x = - 3 or x = 1/3
Critical points = - 3 ; 1/3
To find the maximum and minimum points :
f''(x) = 6x + 8
Substitute the values of X in
At x = - 3
6(-3) + 8
-18 + 8 = - 10
At x = 1/3
6(1/3) + 8
2 + 8 = 10
Value of f''(x) at - 3 is negative, hence - 3 is the maximum point
Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point
Suppose you've just deposited $ 2,004 in a bank account which earns an annual rate of return of 12%. How much will you have in the bank account after 5 years
Answer:
you will get back 167$
Step-by-step explanation:
Which numbers is a factor of 100? 8 12 15 20
Answer:
20
Step-by-step explanation:
[tex]100 = 20 \times 5[/tex]
find the measure of angle E
Answer:
E = 76°
Step-by-step explanation:
Exterior angle B = 116°
So ABC = 180° - 116°
= 64°
In triangle ABC , AC = BC ( given )
So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )
According to Angle Sum Property of a Triangle ,
BAC + ABC + ACB = 180°
=> ACB + 64° + 64° = 180°
=> ACB = 180° - 128°
= 52°
Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )
In triangle ECD ,
EC = ED ( given )
So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )
According to Angle Sum Property of a Triangle ,
ECD + EDC + CED = 180°
=> 52° + 52° + CED = 180°
=> CED = 180° - 104°
= 76°
one solution to a quadratic function is -4+7i, what is the other solution?
Answer:
-4 - 7i
Step-by-step explanation:
If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.
Assuming the coefficients of the quadratic function are real, then the other solution is
-4 - 7i
Hi what’s 2+2? Anyone would like to help..?
Answer:
2+2 = 4
Step-by-step explanation:
you see..... •• (2) + ••(2) = •••• (4) << you just need to count them
what is 4/y+2=10/5y?
tentukan nilai daerah yang diarsir dalam pecahan?
What is the value of the expression below after it has been simplified completely? (2)(3)-(6)(4) A. –24 B. –18 C. 18 D. 24
Answer:
B
Step-by-step explanation:
2x3=6 and 6x4=24 so 6-24= -18
Answer:
B
Step-by-step explanation:
-18
What is the coefficient of 9(14) P ?
Answer:
the answer of this question is
the coffiecent is p
I really need help with this question
Answer: my sis helped me a little so i think its right try 1,500
Step-by-step explanation:
if she gets paid 849000 a year then i would divide 849000 by 12 cause theres that meany months in a year then with that number subtract the Christmas plus witch is 5500 and thats the answer i think
Simplify −0.6(−6.3). −3.78 −3.63 3.63 3.78
Answer:
3.78
Step-by-step explanation:
a negative multiplied by a negative is a positive. 0.6 multiplied by 6.3 equals 3.78
Answer:
3.78
Step-by-step explanation: