Answer:
B
Step-by-step explanation:
We know that AB has endpoints at A(4, -3) and B(3, 7).
To find Line D, which is the perpendicular bisector of AB, we first need to find the slope of AB and its midpoint.
So, let's find the slope of AB using the slope formula:
Let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the slope formula:
So, the slope of AB is -10.
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of our Line D is the negative reciprocal of -10. Which is -10 flipped and multiplied by a negative.
So, Line D has a slope of 1/10.
Now, since Line D is also the perpendicular bisector of AB, we need to find the midpoint of AB since Line D must pass through this point.
To find the midpoint, we can use the midpoint formula:
We can again let (4, -3) be (x₁, y₁) and let (3, 7) be (x₂, y₂). Substitute them into the midpoint formula to obtain:
Evaluate. So, the midpoint is:
Now, we can find the equation of our Line D. We know that its slope is 1/10, and that it must pass through (3.5, 2). So, we can use the point-slope form:
Where m is the slope. Let's let (3.5, 2) be (x₁, y₁) and substitute 1/10 for m. This yields:
This is the same as choice C. So, choice C is indeed an equation of Line D.
We can distribute the right to obtain:
Add 2 to both sides to acquire:
This is the same as choice D. So, choice D is indeed an equation of Line D.
Moreover, we can put this into standard form by multiply everything by 10, which gives:
Subtracting x from both sides yields:
This is the same as A. So, choice A is also an equation of Line D.
There is no way to acquire choice B. So, B is not an equation of Line D.
Therefore, our answer is B.
And we're done!
Find the volume of the pyramid. Round to the nearest hundredth. The base has 5 sides The base is 110mm squared each side is 8 mm. Also the height is 11mm. Pleaseeeeeeeeeee try and do this.
The volume of the pyramid is the amount of space in it, and the volume of the pyramid is 403.33 mm³
How to determine the volume of the pyramid?The given parameters are:
Base area = 110 mm²Base length = 8 mmHeight = 11 mmThe volume of a pyramid is:
Volume = 1/3 * Base area * Height
So, we have:
Volume = 1/3 * 110 * 11
Evaluate
Volume = 403.33
Hence, the volume of the pyramid is 403.33 mm³
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What is the median of the data set represented by the plot?
Answer:
5
Step-by-step explanation:
It's in the middle of all the numbers
If you do need a more in-depth explanation just comment under here and I'd be happy to show you how I did it :)
goddesboi
this one!
what’s the answer?
thanks ^^
Answer:
C) 20.97 AED
Step-by-step explanation:
To find the expected value, E(X), or mean μ of a discrete random variable X, simply multiply each value of the random variable by its probability and add the products. The formula is given as [tex]\displaystyle E(X)=\mu=\sum xP(x)[/tex].
Here, x represents values of the random variable X, [tex]P(x)[/tex] represents the corresponding probability, and symbol [tex]\displaystyle \sum[/tex] represents the sum of all products [tex]xP(x)[/tex]. Here we use the symbol [tex]\mu[/tex] for the mean because it is a parameter. It represents the mean of a population.
In this case, the expected value of the ticket is [tex]\displaystyle E(X)=\mu=\sum xP(x)=12(0.08)+18(0.15)+20(0.31)+22(0.08)+24(0.15)+25(0.23)=20.97[/tex]
This means that Ahmad can expect to win 20.97 AED for the ticket.
Find the measure of the missing angles.
Answer:
I think it's
G: 71
H: 109
K: 151
M: 29
Step-by-step explanation:
This shows many straight angles, which we can use to find the answers.
H and 71 are on one, every right angle is 180 degrees, so we subtract 71 from 180 and get 109. G and 71 are vertical angles which makes them the same, therefore G is also 61.
M and 151 are on another straight angle, so we do the same thing, subtract 151 from 180 and we get 29. There is a line under that and M and the little unmarked angle are vertical angles so they are the same making the little one 29, making K also 151.
Hope this helps
Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students also contributed?
E. $6.50
F. $6
G. $7
H. $8
Answer:
8$
Step-by-step explanation:
4 students contribute 12$ Each.
So, total amount becomes 12 x 4 = 48$
If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$
Find the median of the data. 3,5,7,9,11,3,8 The median is
Answer:
7
Step-by-step explanation:
The median is 7, if you place all the numbers in order then start crossing off the smallest and then largest number, you would be left with the number in the middle which is 7.
Answer:
7
Step-by-step explanation:
3, 3, 5, 7, 8, 9, 11
7 is in the middle.
Как это решать (отмечено красным)
Answer:
it’s 3 because chinese had the era.
Step-by-step explanation:
PLEASE ANSWER NUMBER 32!!!
Answer:
N < -3
Step-by-step explanation:
first off, simply, then subtract the 9s from both sides.
5n < -6 -9
Simplify -6 -9 to -15 , Which gives you
5n < -15
then, divide both sides by 5.
n < 15/5
Simplify 15/5 to 3, Which give you
N < -3
here is your answer.
N < -3
The area of the garden is 13.92 square meters. A fence is planned around the perimeter of the garden. How many meters of fencing are needed?
The meters of fencing that is needed is = 3.36m
Calculation of needed metersThe garden is designed in a trapezoid form with sides= a; 3.3m and b; 5.28m.
The area of the trapezoid garden = 13.92 m²
Therefore the meters of fencing needed which is height = ?
The formula for the area of trapezoid = A = (a+b/2)h
From the formula make h the subject of formula;
h = A *2/a+b
h = 13.92*2/3.3+5.28
h =27.84/8.28
h= 3.36m
Therefore, the meters of fencing that is needed is = 3.36m.
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F(3) = 2x - 4 help me please
Answer:
f(3) = 2
Step-by-step explanation:
Remark
The formula starts out as
f(x)= 2x - 4
So what is telling you is that were ever you see a variable on the right, it can from the x on the left.
If you change the variable on the left, you must also do it on the right.
f(3) = 2*3 -4
f(3) = 6-4
f(3) = 2
Alizeh plans on leaving her $10,000 invested for 20 years. Write an equation representing her investment’s value, y, after x years. What is the value of Alizeh’s investment after 20 years?
Answer:
$38696.84
Step-by-step explanation:
7% interest
so *1.07 per year
10,000*1.07^x=y
10,000*1.07^20=$38696.84
The equation that represent the value of Alizeh’s investment after 20 years is y = 1000(b)^20
Exponential equationThe increase in the amount of his money can be represented using the exponential function as shown:
y = ab^x
Given the following
a = 1000
x = 20 years
Substitute
y = 1000(b)^20
Hence the equation that represent the value of Alizeh’s investment after 20 years is y = 1000(b)^20
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Solve for x, y, and z. Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
Kevin correctly answered 75% of 32 test questions. How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answer:
2
Step-by-step explanation:
0.75*32=24 is 75% of 32
0.8*32=25.6 is 80% of 32
you need to round to 26 as you cant get .6 of a mark
26-24=2
Translate the sentence into an equation.
Twice the difference of a number and 2 equals 5 .
Use the variable c for the unknown number.
Answer:
2(c-2)=5
Step-by-step explanation:
Twice means to multiply by two. Difference is subtraction, and the difference is between a number (c) and 2. Together, the equation equals 5.
Hope this helps!
There are 7 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.
The action to choose two among the seven seniors to be cocaptains is a combination and there are 21 different choices.
What is a the difference between permutation and Combination?The major difference between permutation and Combination lies in the fact that the different ways of arranging a set of objects into a sequential order are termed as Permutation while one of the several ways of choosing items from a large set of objects, without considering an order is termed as Combination.
On this note, the action is a combination and the number of ways is; 7!/5!2! = 21.
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In Debi's Girl Scout troop, of the girls have brown eyes, of the girls have blue eyes, and of the girls have hazel eyes. What fraction of the
either brown eyes or hazel eyes? [Note: Write your answer in simplest form.]
Save and Exit
Next
Subm
O
-IN
5/6 girls have either blue or brown eyes. Since 2/9=4/18
And 11/18 + 4/18 = 15/18
You can simplify 15/18 to 5/6
Help asap thank you will choose branliest
Answer:
maybe option 2 is the correct answer
Answer:
1 and 3/8 or C
Step-by-step explanation:
the longer pencil is 5 and 2/8 and the length of the shorter pencil is 3 and 7/8
5 2/8 - 3 7/8= 11/8 or 1 and 3/8
I hope this helps!!!
Question
Which systems of equations have infinitely many solutions?
Select each correct system.
Answer: F
Step-by-step explanation:
This does not have infinitely many solutions (adding the equations, we get a fixed value of x)This has no solutions (the left hand sides are the same but the right hand sides have different values)This has one solution (the first equation givess a fixed value for x)This has no solutions (same reason as 2)This has one solution (same reason as 3, just the second equation instead of the first)This has infinitely many solutions (multiplying both sides of the top equation by -2 gives the bottom equation).f(x) = -(x − 3)(x + 4)(x − 1)
Rational numbers are fractions and their opposites. All of these numbers are rational numbers. Show that they are rational by writing them in the form (a)/(b) or (a)/(b).
Answer:
0.2 = 1/5
0.333 = 1/3
-1.000001 = -1 1/1000000
-√4 = -2
3√1000 = 30
√1/9 = 0.11111... = 1/9
You have a job that pays $25.00 for each day you show up, plus $19.00 per hour. Which expression shows the amount you make in one day if you work for h hours?
H E L P PLEASE ASAP
Answer:
19.00 x h + 25.00 =
What you make in a day if you work for h hours.
Step-by-step explanation:
You automatically make $25.00 when you show up.
So the equation is asking for how many hours. If you get $19 per hour
then it would be $19.00 x h (how many hours you worked) + $25.00.
Example:
If you worked for 5 hours and one day, then the equation would be
19.00 x 5= 95
95 + 25 (for showing up that day) = 120
So if you worked 5 hours for one day you would make 120
(This was just an example to further explain how the equation worked)
Hope this helped!
Have a great day!!
There are 21 students in a classroom. the ratio of boys to girls is 2 boys to 5 girls. how many boys are in the classroom?
Answer:
6
Step-by-step explanation:
The ratio of boys to girls is 2:5
let the number of boys be 2x -------(i)
and number of girls be 5x
and the total number of students is 21
therefore we know that..
2x+5x = 21
on solving for x,
7x=21
x= 21/7
x=3
now, by putting the value of x in (i),
2x = 2×3 = 6
therefore, there are 6 boys in the classroom.
you find the no. of girls similarly.
hope it helps !!...
PLEASE MARK BRAINLIEST ♡
What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
18 in
19 in
cubic inches
I
Answer:
V = 19329.14 cubic inches
Step-by-step explanation:
Volume of cylinder
[tex]V = \text{area of circle} \times \text{height}\\V = \pi r^2 \times h[/tex]
r ... radius of circle
h ... height of cylinder
Given information:
r = 18 in
h = 19 in
Now let's substitute the values in formula.
[tex]V = \pi r^2 \times h \\V = \pi (18)^2 \times 19\\V = 6156\pi\\V = 6156 \times 3.14\\V = 19329.84 \text{ in}^2[/tex]
109-8
y=-x-5
x - 2y = 4
Plot two lines
Answer:
Given the equations, I plotted 2 lines.
Line 1 Line 2
x | y x | y
0 | 101 0 | -5
1 | 101 1 | -6
I'm having a little trouble with it,
Answer:
Each person received 3 slices and 3 are left
Answer:
D) Each person receives 3 slices, and there are 3 slices left over
Step-by-step explanation:
If each pizza was cut into 8 slices, then there were 3*8=24 slices.
If we attempt to share 24 slices with 7 people, there would be 3 slices for each person, with 3 left over since 7*3=21, and 21+3=24.
Using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced? $5,150 $5,300 $10,150 $11,000
The best estimate of the profit when 350 pounds of food are produced is $5300
How to determine the best estimate?The quadratic regression is given as:
[tex]f(x) = -0.0817x^2 + 102.24x - 20421[/tex]
When 350 pounds are produced, it means that:
x = 350.
So, we have:
f(350) = -0.0817(350)^2 + 102.24(350) - 20421
Evaluate
f(350) = 5354.75
Approximate
f(350) = 5300
Hence, the best estimate is $5300
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Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. 4m,13m,4m
Answer:
B
Step-by-step explanation:
Find an equation equivalent to 2x 3y = 6 in polar coordinates.
the average price of a movie ticket was $4.35 in 1996. the average price of a movie ticket was $9.16 in 2020. what was the average rate of change? if this rate continues, predict the cost of a movie ticket in 2025.
Answer:
10.16
Step-by-step explanation:
average change = 9.16 - 4.35 / 2020 - 1996 = 0.2
Cost = 9.16 + (2025 -2020) x 0.2 = 10.16
So the answer is $10.16
USING TWO-WAY TABLES Use the two-way table (from Exercise
17) to answer the questions. Round to the nearest percent, if
necessary.
What percent of students prefer aerobic exercise?
What percent of students are male who prefer Anaerobic exercise?
What percent of students prefer aerobic excersize: 53%
88+69 /350= 0.5257 x 100
52.57 round up 53
53%
