Determine the equation of the perpendicular bisector JK whose endpoints are J(-4,9) and K(6,1). Show all your work below. (Use of the grid is optional.)
Answers
Answer:
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Step-by-step explanation:
Coordinates of segment with endpoints J and K are,
J(-4, 9) and K(6, 1)
Midpoint of the segment JK = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4+6}{2},\frac{9+1}{2})[/tex]
= (1, 5)
Slope of JK, [tex](m_1)=\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{9-1}{-4-6}[/tex]
= [tex]-\frac{4}{5}[/tex]
Let the equation of perpendicular bisector passing through [tex](x_1,y_1)[/tex] and slope [tex]m_2[/tex] is,
[tex]y-y_1=m_2(x - x_1)[/tex]
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
[tex]-\frac{4}{5}\times m_2=-1[/tex]
[tex]m_2=\frac{5}{4}[/tex]
Therefore, equation of the line passing through midpoint (1, 5) and slope = [tex]\frac{5}{4}[/tex] will be,
[tex]y-5=\frac{5}{4}(x-1)[/tex]
[tex]y=\frac{5}{4}x-\frac{5}{4}+5[/tex]
[tex]y=\frac{5}{4}x+\frac{15}{4}[/tex]
Related Questions
13. The graph below shows the relationship between the number of hours Cody works and the
amount of money he earns at his job. Which of the following statements is not true about the
relationship?
Answers
Answer:
If Cody works 20 hours, he will earn $150.
Step-by-step explanation:
The graph goes up by 1, 10, meaning if you do 20 times 10 you'll get 200, not 150
Answer:
$160
Step-by-step explanation:
What is the total cost of $35.00 jeans with 6.75% sales tax?
Answers
odd number between 20 and 40
Answers
Answer:
30. i. dftjtuutuldrudtuftuftuftuftjxtuxtul who j t x t j x f h x g xg
A television normally sells for $320 this week it’s on sale for 60% off the normal price what is the price of the sale
Answers
Answer:
128 dollars
Step-by-step explanation:
You would multiply 60 (that's the percentage off) by 320 ( the price of the T.V) and then subtract the answer you got from multiplying the two from the original price of the T.v (320)
Hope this helps
If U= {2, 4, 6, 8, 10, 12, 14}, which is a subset of U? * A= {2, 4} A= {1, 3, 5, 7} A= {1} A= {2, 3, 4}
Answers
Answer:
Step-by-step explanation:
Given
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
Required
Which of the sets is a subset
A set (Set A) is a said to be a subset of another set (Set B) if the content of that set (i.e. A) can be found in the other set (set B)
Using the above definition, we have:
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
[tex]A = \{2,4\}[/tex]
A is a subset of U because 2 and 4 are in U
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
[tex]A = \{1,3,5,7\}[/tex]
A is not a subset of U because 1,3,5 and 7 are not in U
[tex]U= \{2, 4, 6, 8, 10, 12, 14\}[/tex]
[tex]A = \{2,3,4\}[/tex]
A is not a subset of U because 1,3,5 and 7 are in U
Hence, option A answers the question.
Where my Among Us fans at?!
Answers
Answer:
here
Step-by-step explanation:
i played it till 3 am once
write the equation for 30 is 75% of what number show your work
Answers
Answer:
22.5
Step-by-step explanation:
How do you solve this question?
In order to find this answer, you must multiply the number given (30) by the percentage (75%). 75% is equal to .75. So, if you multiply 30 and 75%, you will get 22.5.
Hope this helps,
Philip
Brainliest always appreciated! <3
BD bisects LABC. Solve for x and find m2ABC. m_ABD = 4x-2, mZCBD=2x + 6
Answers
Answer:
i) x = 4°
ii) <ABC = 28°
Step-by-step explanation:
Given that BD bisects <ABC then it is true to say that;
Angle m < ABD=m < CBD
Hence;
4x-2 = 2x +6
4x-2x = 6 +2
2x = 8
x=8/2 = 4
x= 4°
Hence
Angle m< ABD = 4x-2 = 4*4 -2 = 16-2 =14°
Angle m < ABC = 2* 14° = 28°
When graphing a linear inequality, the origin can always be used as a test point for determining which side of a
boundary line should be shaded. True or False
Answers
Answer: True
Step-by-step explanation:
write six hundred fifty-eight and twenty-nine thousandths in standard form
Answers
Answer:
658.029
Step-by-step explanation:
hope this helps (´▽`ʃ♡ƪ)
did 57urgkg zucfhuiiiiiiiii
You are negotiating a loan with a bank officer. The loan is at a moderate interest rate, and the term of the loan is six months. The bank officer tells you your monthly payment. Explain how you can quickly check whether or not the figure the bank officer gave you is reasonable. Choose the best answer.
A. Move the decimal point one place to the left. This is a reasonable estimate.
B. Multiply the interest rate by 100 and divide by 6. This should be the approximate amount of the payment.
C. Divide the loan amount by 6. This is the maximum you will be paying.
D. Divide the loan amount by 6. This is the minimum you will be paying.
Answers
Answer:
Step-by-step explanation:
I have this answer too and it's not B or D. So it might be A or C
To figure out if the figure the bank officer gave you is reasonable, divide the loan amount by 6. This is the minimum you will be paying.
According to the question, the tenure of the loan is six months. The borrower is expected to pay back a fraction of the principal and interest each month. This is the maximum amount that the borrower can pay.
The minimum amount that the borrower can pay each month is obtained by dividing the loan amount by six .
Learn more: https://brainly.com/question/11324711
Which pair shows equivalent expressions? Hurry it’s timed
Answers
Answer:
B I'm pretty sure
Step-by-step explanation:
What is the slope of the line that passes through the points (6, -10)(6,−10) and (3, -13) ?(3,−13)?
Answers
Answer:
The slope of the points is (3,3)
Step-by-step explanation:
If you plot both points on a graph and start at the one furthest down on the graph, then go up three and to the right three you get to your second point and you have your slope. Remember going down or to the left makes the slope negative and it is always rise over run.
Find the slope of the tangent line to f(x) = 2x +3 at
at x = 2.
Answers
Which equation represents a line with slope 2/3 and y-intercept −6?
2x −3y= 18
3x −2y= 6
3x −2y= 12
2x +3y=−6
Answers
Part A: Under a dilation of scale factor centered at (3,7), PT becomes
RT", Determine the coordinates of R'T" and sketch R'T' on the
graph
Part B: Under a dilation of scale factors centered at (-1,9), PT becomes
LM. Determine the coordinates of LM and sketch TM on the
graph
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Dilation changes the distance to the center of dilation by a factor equal to the scale factor.
Part A:
Point R is 2 grid squares left and 6 grid squares down from the center of dilation at (3, 7). So, point R' will be (3/2)(2) = 3 grid squares left and (3/2)(6) = 9 grid squares down from that center.
Likewise, point T is 2 square diagonals down and right of (3, 7), so T' will be 1 more square diagonal farther.
__
Part B:
As in Part A, the scale factor multiplies the distance from the center of dilation. L will be the midpoint between R and (-1, 9); M will be the midpoint between T and (-1, 9).
An endangered species of fish has a population that is decreasing exponentially (A - Apekt). The population 5 years ago was 1800. Today, only 800 of the
fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest
whole year.)
O 12 years from today
15 years from today
O 14 years from today
O 13 years from today
Answers
Answer:
13 years.
Step-by-step explanation:
I don't understand the original equation you entered, so I'm going to use another one.
[tex]A = A_0e^k^t[/tex]
Where A = initial population
A₀ = current population
e = Euler's constant
k = rate of decrease
t = time in years
Let's start off with what we know.
Today there are 800 fish left:
A₀ = 800
There were 1800 fish 5 years ago:
t = -5
A = 1800
The equation now looks like [tex]1800=800e^-^5^k[/tex]
First we find the rate of decrease.
[tex]\frac{1800}{800} = e^-^5^k[/tex]
⇒ [tex]2.25 = e^-^5^k[/tex]
⇒ [tex]ln(2.25) = -5k[/tex]
⇒[tex]\frac{ln(2.25)}{-5}[/tex]=k
⇒ k = -0.1621
The question asks when it will drop below 100, so make it equal to 100.
⇒[tex]100=800e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]100/800=e^-^0^.^1^6^2^1^*^t[/tex]
⇒[tex]ln(1/8)=-0.1621*t[/tex]
⇒[tex]\frac{ln(1/8)}{-0.1621}[/tex] = t = 12.821
To the nearest year this is 13.
2++2++2+2+222+22222222222+++222=
Answers
Answer:
thank you thank you thank youuuu:))))) i will make our question now
Step-by-step explanation:
:***
Answer:
umm here is the slide cause i couldnt add it on the other question
Step-by-step explanation:
graph y = 2/3x
this khan academy buulcrap >:(
Answers
Answer:
.__.
Step-by-step explanation:
Start from (0,0), go up 2 units, right 3 units. Repeat and there, you graphed it! Now pat yourself on the back and move on with your life :D
Which value is the solution for this equation
7y - 15 = 27
Answers
Answer:
Y = 7
Step-by-step explanation:
Explanation:
7x6 = 42
42-15 = 27
If you don’t believe me open a calculator and do what I just did
Hope I helped ❤️
Plz mark me brainiest? :)
slope = 1; y-intercept = -4
Write the linear equation in slope intercept form
Answers
Answer:
y = x - 4
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 1
y-intercept b = -4
Step 2: Write function
y = x - 4
If 3 boxes weigh 10 pounds, how much do 4 boxes weigh?
Answers
Answer:
About 13.32 Pounds
Step-by-step explanation:
First. take the total weight of the three boxes and divide it by the number of boxes.
10/3 = 3.33 and so on
Now we know each box ways 3.33 pounds.
Now multiply 4 boxes by 3.33 pounds.
4 x 3.33 = 13.32
So the answer should be about 13.32 pounds.
Answer:
13.3pounds
Step-by-step explanation:
if 3boxes = 10pounds
4boxes= ?
4×10= 40÷3
13.3pounds
The probability that a male develops some form of cancer in his lifetime is 0.4567. The probability that a male has at least one false positive test result (meaning the test comes back for cancer when the man does not have it) is 0.51. Some of the following questions do not have enough information for you to answer them. Write “not enough information” for those answers. Let C = a man develops cancer in his lifetime and P = man has at least one false positive. a. P(C) =______ b. P(P|C) =______ c. P(P|C') =______ d. If a test comes up positive, based upon numerical values, can you assume that man has cancer? Justify numerically and explain why or why not.
Answers
Answer:
0-0
Step-by-step explanation:
What grade are you in? I don't understand at all :(
The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years.
A) What is the probability that the CPU fails within three years? (6 points) (Round your answer to 4 decimal places)
B) Assume that your corporation owned 10 CPUs, and assume that the CPUs fail independently. What is the probability that at least one fails within three years? (8 points) (Round your answer to 4 decimal places)
Answers
Answer: 0.393 ; 0.9933
Step-by-step explanation:
Given that :
Mean lifetime follows an exponential distribution (m) = 6
a. What is the probability that the CPU fails in the next three years?
Using the poisson distribution formula :
1 - e^-λt
λ = 1/m = 1 / 6 = 0.1667
Probability of failure in next 3 years :
P(X < 3) = 1 - e^-λx
P(X < 3) = 1 - e^-0.1667*3
P(X < 3) = (1 - e^-0.5)
P(X < 3) = 1 - 0.6065306
P(X < 3) = 0.3934693
= 0.3935
b. Assume that your corporation has owned 10 CPUs for three years, and assume that the CPUs fail independently. What is the probability that at least one fails within the next three years?
Number of pc owned = 10
CPU failure is indepndent
Probability of atleast one fails :
1 - P(X ≥ 3)^n
P(X ≥ 3) = 1 - P(X < 3)
P(X ≥ 3) = 1 - 0.3935 = 0.607
Hence,
1 - P(X ≥ 3) = 1 - 0.6065^10
1 - P(X ≥ 3) = 1 - 0.0067345
1 - P(X ≥ 3) = 0.993265
= 0.9933
can you please help me with this question
Answers
Answer:
the answer would be 1800 feet
what is the square root of 125.3 rounded to the nearest hundredth ?
Answers
Answer:
11.19
Step-by-step explanation:
[tex]\sqrt{125.3} = 11.19374\\[/tex]
The hundreths place is the second digit to the right of the decimal point.
Since the number in the thousandths place is less than 5, the number in the hundreths place will remain as 9.
If the digit in the thousandths place had been 5 or greater, the answer would have been 11.20, as you would round the 9 up, consequently rounding the tenths place as well.
What is the answer plz?
Answers
Answer:
15$
Step-by-step explanation:
A school goes on a field trip to the zoo. They bring 67 people.
Each ticket to the zoo costs $23. ABOUT how much did the school pay
to go to the zoo?
Answers
Answer:
since u said about i assume we round
67 to 70 ppl
23$ to 20$
70x20
1400 they payed around 1400$
accurate answer
67x23
1541$ they payed 1541$ exactly
..What is 88% of 22?
Answers
Answer:
it 19.36
ynhbtgvfrdeg5t4fr
Please help!!!!!
Richard had a balance of -$322.25 in his account, and Scott had a balance of -$241.75 in his account.
Which statement explains why Richard owes the bank more than Scott?
A. -322.25 > -241.75
B. |-322.25| > |-241.75|
C. |-322.25| < |-241.75|
D. -322.25 < -241.75
Answers
Answer:
B is the answer
Step-by-step explanation:
because Richard owes the bank more than Scott
Answer:
it is B
Step-by-step explanation: I just took the test but i got it wrong so it is B
