Triangle ABC has vertices of A(–6, 7), B(4, –1), and C(–2, –9). Find the length of the median from
A) 4
b) square Root of 18
C) 8
D) Square root of 68
Answers
the median is the segment that joins each vertex with the midpoint of the opposite side
using a graph tool
see the attached figure
Step 1
Find the midpoint segment BC
B(4, –1), and C(–2, –9)
Xm=(4-2)/2=1
Ym=(-1-9)/2=-5
the midpoint BC is (1,-5)
the length of median is the distance point A(-6,7) and midpoint BC (1,-5)
d=√(12²+7²)=√193=13.89 units
the answer is 13.89 units
Related Questions
Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs,3 rock songs,and 2 rap songs on it.Chen is going to listen to 360 songs.What is the best prediction for the number of classical songs that Chen will listen to?
Answers
PLEASE HELP ME QUICK PLEASE!!!!!!
10 PTS ILL GIVE BRAINLIEST IF U ANSWER CORRECTLY
THX
Answers
Only constraint 1 would be met if 6 vanilla cups and 18 chocolate cups were purchased
The cost of removing x percent of pollutants is expressed by the function , where C is in thousands of dollars. Which conclusion can be derived from this statement?
a)The cost of removing 40 percent of the pollutants is $120,000.
b)The cost of removing 80 percent of the pollutants is $960,000.
c)The vertical asymptote lies at x = 0.
d)The vertical asymptote lies at x = 240.
Answers
What do you consider to be the advantages of the numerical values? What do you consider to be the advantages of the visual representations? Which do you prefer working with, and why?
Answers
For which of the following displays of data is it not possible to find the mean?(Expert and Ace only please)
frequency table
line plot
stem-and-leaf plot
histogram
Answers
Answer:
The histogram
Step-by-step explanation:
It is difficult to find mean of a histogram
What is Histogram ?It is a chart that help in visualize the distribution of values in a dataset.
It is difficult to find mean just by looking at the data of the histogram
Hence , d) Histogram is the answer
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NEED HELP ASAP!!!
What is the value of x?
/Users/mikaylee/Desktop/8104613-NG_IMC_SemB_09_UT_01.png
Answers
Hey !!
Check the attachment.
Hope it helps you :)
A right angle has an acute angle that measures 42°. what are th measures of the other angles.´?
Answers
Unknown angle = 180 - 90 - 42 = 48°
---------------------------------------------------------------------------------
Answer: The other angle measures 48°
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The following polynomials can be factored using the techniques of this lesson. x^2-36
Answers
the correct answer to that question would be true
Answer:
true
Step-by-step explanation:
A P E X
Suppose a sheet of 100 stamps is 0.77 millimeters thick. If a stack of sheets contains 100,000 stamps, how many millimeters thick is the stack? Write the answer in scientific notation.
7.7 × 104 mm
0.77 × 103 mm
7.7 × 102 mm
77.0 × 101 mm
Answers
To find the thickness of the stack, multiply the thickness of a single sheet by the number of sheets. So, 0.77 mm times 1,000 equals 770 mm. In scientific notation, this is 7.7 × 10² mm.
Explanation:To find out how many millimeters thick the stack is, you need to multiply the thickness of a single sheet of stamps by the number of sheets in the stack. In this case, the thickness of a single sheet is 0.77 millimeters, and there are 1,000 sheets in the stack (since 100,000 stamps divided by 100 stamps per sheet is 1,000).
To represent the thickness of the stack in scientific notation, you would multiply the thickness of a single sheet (0.77) by the number of sheets in the stack (1,000). Multiplying 0.77 by 1,000 gives you 770. To represent this in scientific notation, you would break it down into a number between 1 and 10 multiplied by a power of 10. So, the thickness of the stack is 7.7 × 10² mm.
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1. The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds.
2. How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left?
3. How many degrees is the painted spot turning in 0.75 s?
Enter your answer in the box.
4. What is the average daily maximum temperature in March?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box
5. What is the greatest temperature the substance reached during the experiment?
Round to the nearest tenth of a degree if needed.
Use 3.14 for π .
Enter your answer in the box.
Answers
Answer: 6
-------------------------
At time 1.5s the height is 0 which is the resting position. The next time the height is 0 is when t = 4.5 which is a difference of 3 seconds (4.5 - 1.5 = 3). Double this to get 3*2 = 6
===============================================
Problem 2
Answer: 1.25
-------------------------
Notice how the period of this graph is 2.5 seconds. It takes 2.5 seconds for the up and down pattern to repeat fully again. The easiest way to see this is from x = 0 to x = 2.5 the down and then up pattern does one full cycle, only to repeat again from x = 2.5 to x = 5, and so on.
Half of this cycle is the length of time it takes for the particle to go from the peak to the valley, or vice versa. Half of 2.5 is 1.25 (2.5/2 = 1.25). Why is it half? Because a full cycle takes place from one valley to the next neighboring valley. The same happens with the peaks as well.
===============================================
Problem 3
Answer: 180 degrees
-------------------------
A full cycle takes 1.5 seconds, which consists of the wheel rotating 360 degrees (a full revolution)
Half a cycle is 1.5/2 = 0.75 seconds which is half a revolution 360/2 = 180 degrees
===============================================
Problem 4
Answer: 61
-------------------------
We plug in x = 2 since x = 0 corresponds to january, x = 1 corresponds to february, and so on
f(x) = 12.2*cos(pi*x/6) + 54.9
f(2) = 12.2*cos(pi*2/6) + 54.9
f(2) = 12.2*cos(3.14*2/6) + 54.9
f(2) = 12.2*cos(3.14/3) + 54.9
f(2) = 12.2*cos(1.04666666666667) + 54.9
f(2) = 12.2*0.5004596890082 + 54.9
f(2) = 6.10560820590003 + 54.9
f(2) = 61.0056082059
f(2) = 61
===============================================
Problem 5
Answer: 38.9
-------------------------
The smallest cos(x) can be is -1. It doesn't matter if its cos(x) or cos(2x) or whatever the argument is. Therefore f(x) maxes out at f(x) = -7.5*(-1)+31.4 = 38.9
There are a total of 18 chairs. If the ratio of the red chairs tobrown chairs is 2 to 4, how many of them are red?
Answers
Answer:Of the 18 chairs, 6 are red
Step-by-step explanation:
Given total no of chairs =18
Ratio of red chairs to brown chairs =2:4=[tex]\frac{2}{4}[/tex]
So there are 6(2+4) parts chair out of which 2 are red and 4 are brown
∴ 6 part equals 18 chairs
1 part equals [tex]\frac{18}{6}[/tex]
=3 chairs
Now 2 part equals 2×3=6
i.e. there are 6 red chairs
50 POINTS PLZZZZZ HELP NOW I NEED FULL EXPLANATION AND RIGHT ANSWERS
IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with that area?
Answers
We know that the area of the frame is 64 inches^2. Let's list the factors of 64. They are:
1, 2, 4, 8, 16, 32, and 64.
There are many possible sets of dimensions.
The dimensions could be 1 in × 64 in, 2 in × 32 in, 4 in × 16 in, or 8 in × 8 in.
If the frame is shaped like a rectangle, then the first three sets of dimensions would be possible.
If it is a square, then the last (8 × 8) are possible.
The result of rounding the whole number 72,341 to the nearest hundreds place is:
72,300.
72,000.
70,000.
72,340
Answers
the answer will be 72,300.
Hope it helps
72, 341:
7 is in the ten thousands place
2 is in the thousands place
3 is in the hundreds place
4 is in the tens place
1 is in the ones place
To find the hundreds place, look at the place value to the right of it (or tens place in this case).
In the tens case is a 4, which is less than 5, so you round down
( 5 and greater, round up, 4 and less, round down)
So your answer is 72,300
hope this helps
Given an exponential function for compounding interest, A(x) = P(1.04)x, what is the rate of change?
A. 0.04%
B. 1.04%
C. 104%
D. 4%
Answers
The given expression is
[tex] A(x) = P(1.04)^x [/tex]
Which can also be written as
[tex] A(x) = P(1+0.04)^x [/tex]
And the formula of compound interest is
[tex] A(x) = P(1+r)^x [/tex]
On comparing, we will get rate of change equals to 0.04 or 4 %.
So the correct option is the last option .
The ancient Babylonians developed a method for calculating nonperfect squares by 1700 BCE. Complete the statements to demonstrate how to use this method to find the approximate value of . In order to determine , let G1 = 2, a number whose square is close to 5. 5 ÷ G1 = , which is not equal to G1, so further action is necessary. Average 2 and G1 to find G2 = 2.25. 5 ÷ G2 ≈ (rounded to the nearest thousandth), which is not equal to G2, so further action is necessary. Average 2.25 and G2 to find G3 = 2.236. 5 ÷ G3 ≈ (rounded to the nearest thousandth), which is equal to G3. That means is approximately 2.236.
Answers
5 ÷ G1 = 2.5
5 ÷ G2 = 2.222
5 ÷ G3 = 2.236
That means √5 is approximately 2.236.
Using the Babylonian method, [tex]\( \sqrt{5} = 2.236}[/tex]. This method involves iteratively averaging and recalculating until the calculated value stabilizes to the desired accuracy.
To demonstrate the Babylonian method for finding the approximate value of [tex]\( \sqrt{5} \)[/tex]
A. In order to determine [tex]\( \sqrt{5} \)[/tex], let [tex]\( G_1 = 2 \)[/tex], a number whose square is close to [tex]5.[/tex]
B. Calculate [tex]\( \frac{5}{G_1} = \frac{5}{2} = 2.5 \)[/tex], which is not equal to [tex]\( G_1 \)[/tex], so further action is necessary. Average [tex]\( 2 \)[/tex] and [tex]\( G_1 \)[/tex] to find [tex]\( G_2 = \frac{2 + 2}{2} = 2.25 \). \( \frac{5}{G_2} = \frac{5}{2.25} = 2.222 \)[/tex], which is not equal to [tex]\( G_2 \)[/tex], so further action is necessary.
C. Average [tex]\( 2.25 \)[/tex] and [tex]\( G_2 \)[/tex] to find [tex]\( G_3 = \frac{2.25 + 2.222}{2} = 2.236 \). \( \frac{5}{G_3} = \frac{5}{2.236} = 2.237 \)[/tex], which is equal to [tex]\( G_3 \)[/tex]. That means [tex]\( \sqrt{5} \)[/tex] is approximately [tex]\( 2.236 \).[/tex]
The complete Question is
The ancient Babylonians developed a method for calculating nonperfect squares by 1700 BCE. Complete the statements to demonstrate how to use this method to find the approximate value of .
A. In order to determine , let G1 = 2, a number whose square is close to 5.
B. 5 ÷ G1 = , which is not equal to G1, so further action is necessary. Average 2 and G1 to find G2 = 2.25. 5 ÷ G2 ≈ (rounded to the nearest thousandth), which is not equal to G2, so further action is necessary.
C. Average 2.25 and G2 to find G3 = 2.236. 5 ÷ G3 ≈ (rounded to the nearest thousandth), which is equal to G3. That means is approximately 2.236.
Solve 5x + 1 = 2x2 + 9x. Which are steps in the process of completing the square used to solve the equation?
ANSWER CHOICES
1 = 2(x2 + 2x)
1 = 2x2 + 4x
2 = 2(x2 + 2x + 1)
3 = 2(x + 1)2
2 = 2(x + 1)2
Answers
Answer:
Choices (1), (2) and (4)
Step-by-step explanation:
5x + 1 = 2x² + 9x
By subtracting 5x form both the sides of the equation.
(5x + 1) - 5x = 2x² + 9x - 5x
1 = 2x² + 4x
1 = 2(x² + 2x)
By adding 2 on both the sides
1 + 2 = 2(x² + 2x) + 2
1 + 2 = 2(x² + 2x + 1)
3 = 2(x² + 2x + 1)
3 = 2(x + 1)²
Therefore, choices (1), (2) and (4) are the steps that have been used to complete the square.
To solve the equation 5x + 1 = 2x^2 + 9x using the method of completing the square, follow these steps: move all terms to one side of the equation, combine like terms, divide all terms by the coefficient of x^2, take half of the coefficient of x, square it, and add it to both sides of the equation, factor the left side of the equation, take the square root of both sides, and solve for x.
Explanation:To solve the equation 5x + 1 = 2x2 + 9x using the method of completing the square, the following steps are used:
Move all terms to one side of the equation: 2x2 + 9x - 5x - 1 = 0Combine like terms: 2x2 + 4x - 1 = 0Divide all terms by the coefficient of x2: x2 + 2x - 1/2 = 0Take half of the coefficient of x, square it, and add it to both sides of the equation: x2 + 2x + 1 = 1/4Factor the left side of the equation: (x + 1)2 = 1/4Take the square root of both sides: x + 1 = ±1/2Solve for x: x = -1 ± 1/2How do you write an absolute value equation!? Pls help! 20 points.
Answers
How do I solve this
Answers
Since the complementary angle adds up to 90 degrees, we would add 55° and (3x + 8)° and set it equal to 90°.
55° + (3x + 8)° = 90°
Now, to find x, we simplify.
63 + 3x = 90
3x = 27
x = 9
So, x is 9 degrees.
Hope this helps!
BRAINLIESTTT ASAP!! :)
How do you know if a parabola has a maximum or a minimum?
Answers
Use a property of equality to solve this equation: 4.5x = 18 (never mind i figured out the answer.)
Answers
[tex]4.5x=18[/tex]
[tex] \frac{4.5x}{4.5} = \frac{18}{4.5} [/tex]
[tex]x= \frac{18}{4.5} [/tex]
[tex]x=4[/tex]
The solution to the equation 4.5x = 18 is x = 4.
We have,
To solve the equation 4.5x = 18, we can use the property of equality which states that if two quantities are equal, then multiplying or dividing both sides by the same non-zero number will still yield an equal equation.
In this case,
We want to isolate x, so we need to get rid of the coefficient 4.5.
To do this, we can divide both sides of the equation by 4.5:
(4.5x) / 4.5 = 18 / 4.5
Simplifying, we have:
x = 4
Therefore,
The solution to the equation 4.5x = 18 is x = 4.
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x y
2, 65
4, 74
6, 81
8, 96
10, 109
@directrix
Identify the equation of the least squares regression line that most
closely matches the data set.
yˆ = 0.17x − 13.2
yˆ = 5.5x + 52
yˆ = 3.5x − 6921.2
yˆ = −2.2x + 13.8
Answers
The closest to this is that equation, you can check it to prove that it is closer than the other options.
Let, yˆ = 5.5x + 52 be the equation
X=2,4,6,8,10
y=?
x1=2
y1=5.5(2) + 52
=63
x2=4
y2=5.5(4) + 52
=74
x3=6
y3=5.5(6) + 52
=85
x4=8
y4=5.5(8) + 52
=96
x5=10
y5=5.5(10) + 52
=107
Which graph matches this situation
Answers
We can check this, by taking the mass of the substance and dividing it by 2, the remaining mass of the substance would be 4 mg.
your primary jobs gross income is 3468.73/month deductions are fica (7.65%) federal tax witholding (11.5%) and state tax withholding (7.8%) how much are your ficed expenses if they are 36% of your relized income
Answers
$1,388.65
$814.92
$912.21
$1,068.57
To get your realized income you: add your deductions which equals to a total of 26.95%.
Then you subtract that amount from your gross income.
(3468.72 - 26.95% = 2533.91)
After that you need to find what 36% of your realized income equals to:
and it equals to, 912.20.
Therefore, your answer is C.
Answer 2:
our deductions are 7.65% , 11.5% and 7.8% . Total 26.95% .
So deduct that from your Gross . $3468.73 - 26.95% leaves you with $ 2533.91.
That's your Realized Income . $2533.91 .
So you need to find 36% of that . It's $912.20.
And that is your answer . Your fixed expenses are $ 912.20 .
Answer:
$912.21
Step-by-step explanation:
Your primary jobs gross income = $3468.73
All deductions 7.65% (fica) + 11.5% (federal) + 7.8% (state tax) = 26.95%
Income after deductions = 3468.73 - ( 26.95% × 3468.73 )
= 3468.73 - (0.2695 × 3468.73)
= 3468.73 - 934.82
= $2,533.91
Fixed expenses on your realized income = 36%
Fixed expenses = 36% × 2,533.91
= 0.36 × 2,533.91
= $912.2076 ≈ $912.21
Fixed expenses are $912.21
The bar graph shows the z-score results of four employees for two different work weeks.
Which employee had the least earnings for Week 1?
Usan
Percy
Oberto
Michael
Answers
Therefore, you should check the bars in blue for the four employees.
We observe that the smallest z-cores is -0.5.
Therefore, Oberto has the lowest earnings for week 1.
Answer:
Oberto had the least earnings for Week 1
The limit as h approaches 0 of (e^(2+h)-e^2)/h = ?
The answer is e^2; please explain how to get that?
Answers
[tex] \lim_{h \to 0} \frac{e^{2} e^{h} - e^{2} }{h} [/tex]
Regroup e² on the numerator:
[tex] \lim_{h \to 0} \frac{ e^{2} (e^{h} - 1) }{h} [/tex]
e² is now a constant that can be brought outside the limit:
[tex] e^{2} \lim_{h \to 0} \frac{ e^{h} - 1}{h} [/tex]
This limit is a notable one, and we know it is equal to 1,
therefore:
e² · 1 = e²
Shawn is typing a paper for class. He can type 1 5/12 pages in 1/3 of an hour. How many pages can Shawn type in one hour?
Answers
1 5/12 * 3 = 3(1) + 3(5/12)
= 3 5/4
= 4 1/4 pages
Answer:
i think he is right
simplest form of the expression
3sqrt750+3sqrt2058-3sqrt48
can someone explain
Answers
750 = 2·3·5²
2058 = 2·3·7³
48 = 2⁴·3
Then, enlight all the exponents multiple of 2 (which is the index of the root):
3·√(2·3·5²) + 3·√(2·3·7²·7) + 3·√(2⁴·3)
At this point, you can take outside the square root everything that has an even number, and doing so you have to halve the exponent; you'll get:
3·5·√(2·3) + 3·7·√(2·3·7) + 3·2²·√3
You can now multiply:
15√6 + 21√42 + 12√3
which is the simplest form of your expression.
I need some help
A student answers all 48 questions on a multiple-choice test by guessing. Each question has four possible answers, only one of which is correct. Find the probability that the student gets exactly 15 correct answers. Use the normal distribution to aproximate the binomial distribution.
I used BinomCdf(48,.25,15) and get 0.0767 but that isn't one of the choices. The choices are
0.7967
0.0606
0.0823
0.8577,
Answers
The probability that the student gets exactly 15 correct answers is 0.0823
How to determine the probability?The given parameters are:
Sample size, n = 48Correct answers, x = 15Probability of right an answer, p = 0.25 i.e. 1 of 4 options is correctStart by calculating the mean
[tex]\bar x = np[/tex]
[tex]\bar x = 48 * 0.25[/tex]
[tex]\bar x = 12[/tex]
Calculate the standard deviation
[tex]\sigma = \sqrt{np(1 -p)}[/tex]
[tex]\sigma = \sqrt{12 * (1 -0.25)}[/tex]
[tex]\sigma = 3[/tex]
To get exactly 15,we make use of the range 14.5 to 15.5.
So, we calculate the z scores at these values using:
[tex]z = \frac{x - \bar x}{\sigma}[/tex]
This gives
[tex]z = \frac{14.5 - 12}{3} = 0.83[/tex]
[tex]z = \frac{15.5 - 12}{3} = 1.17[/tex]
The probability is then calculated using
P(14.5 < x < 15.5) = p(0.83 < z < 1.17)
This gives
P(14.5 < x < 15.5) = 0.082269
Approximate
P(14.5 < x < 15.5) = 0.0823
Hence, the probability that the student gets exactly 15 correct answers is 0.0823
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15.5 ft + 1.25 ft + 13.5 ft=
Answers
Determine the measures of the angles of triangle DEF if the measures are in the ratio 1:1:16
Answers
and then we give the ratio of 1, one of those pieces, the other ratio of 1, the same, and the ratio of 16, sixteen of those pieces.
[tex]\bf 1:1:16\qquad \cfrac{180}{1+1+16}\implies \cfrac{180}{18}\implies 10\quad \qquad \stackrel{1}{10}~:~\stackrel{1}{10}~:~\stackrel{16}{160}[/tex]
Final answer:
The angles of triangle DEF with the ratio 1:1:16 are 10 degrees, 10 degrees, and 160 degrees, using the property that the sum of interior angles in a triangle is 180 degrees.
Explanation:
To determine the measures of the angles of triangle DEF with the ratio 1:1:16, we utilize the property that the sum of the interior angles of any triangle is always 180 degrees. We can represent the measures of the angles as follows: let the first angle be x, the second angle be x, and the third angle be 16x. Since the sum of angles in a triangle is 180 degrees, we can write the equation:
x + x + 16x = 180
Simplifying the left side of the equation, we get:
18x = 180
Dividing both sides by 18 gives us:
x = 10
Therefore, the measures of the angles are 10 degrees, 10 degrees, and 160 degrees.
Corollary: At least two angles of a triangle are acute. In this case, the two angles with the ratio 1:1 are both acute since they measure 10 degrees each, which is less than 90 degrees.