Answers
9514 1404 393
Answer:
a) line: y = x - 11
b) k = -9
c) AP = BP = √74
Step-by-step explanation:
There are four (4) formulas that are needed for solving this problem.
m = (y2 -y1)/(x2 -x1) . . . . . . slope of a line between points (x1, y1) and (x2, y2)
M = ((x1 +x2)/2, (y1 +y2)/2) . . . . midpoint of the segment between the points
y -y1 = m(x -x1) . . . . . point-slope equation of a line given point and slope
d = √((x2 -x1)² +(y2 -y1)²) . . . . distance between two points
In addition, you need to know that perpendicular lines have opposite reciprocal slopes.
__
The perpendicular bisector of a segment between two points will be a line with a slope that is the opposite reciprocal of the slope of the segment. That line will go through the midpoint of the segment.
a) The slope of the segment between A(7, -2) and B(9, -4) is ...
m = (-4-(-2))/(9-7) = -2/2 = -1
The midpoint of AB is ...
M = ((7+9)/2, (-2-4)/2) = (8, -3)
The opposite reciprocal of the slope of AB is ...
m = -1/(-1) = 1
Then the point-slope equation of the perpendicular bisector is the line with slope 1 through the point (8, -3):
y -(-3) = 1(x -8)
y = x -11
__
b) Point P on the line has x-value of 2, so the y-value will be ...
k = 2 -11 = -9
Point P has coordinates (2, -9).
__
c) The length of segment AP is given by the distance formula:
d = √((2 -7)² +(-9-(-2))²) = √((-5)² +(-7)²) = √74
The length of segment BP is likewise given by the distance formula:
d = √((2 -9)² +(-9 -(-4))²) = √((-7)² +(-5)²) = √74
AP = √74 = BP ⇒ AP ≅ BP
Related Questions
the length of a pool 2 km long is represented on a map with a length of 20cm. what is the map scale used?
Answers
Answer:
The scale used is 1: 10,000 cm.
Step-by-step explanation:
Given that the length of a pool 2 km long is represented on a map with a length of 20cm, to determine what is the map scale used the following calculation must be performed:
2 km = 2,000 m
1m = 100cm
2,000 x 100 = 200,000
20: 200,000
10: 100,000
1: 10,000
Thus, the scale used is 1: 10,000 cm.
Answer:
10,000
Step-by-step explanation:
this question is confusing me
Answers
Please help I urgently need it, I’ll give brainliest to whoever answers and 20 points!
Answers
Answer:
92.3
Step-by-step explanation:
Home to gas station: (0,0) to (6,2) = 6.3
Gas station to friends house: (6,2) to (4,-7) = 9.2
Freinds house to movie theatre: (4,-7) to (-7,-3) = 11.7
Movie theatre to ice cream: (-7,-3) to (-8,2) = 5.1
Ice cream to park: (-8,2) to (7,7) = 15.8
Park to friends house: (7,7) to (4,-7) = 14.3
Friends house to grocery store: (4,-7) to (-4,8) = 17
Grocery store to home: (-4,8) to (0,0) = 8.9
Add them together =
FOR THE SMART MATH PEOPLE
WILL GIVE BRAINLIEST
Answers
This figure shown is NOT a square because a square has all angles are 90º.
It is a rhombus and a parallelogram because they both have a parallel sides(At least 2). NOW GIVE ME BRAINLIEST!!!!
2/5 x 10/22 in simplest form
Answers
Answer:
2/11
Step-by-step explanation:
You would have to do 2 times 10 which equals 20. Than 5 times 22 which is 110. No to reduce you have to find the Greatest Common faction which is 10. So 20 divided by 10 equals 2 and 110 divided by 10 is 11.
Work out the difference between 77.5 and 2.27.
Answers
Answer:
75.23 is the answer for 77.5-2.27
An agricultural company is trying to decide which type of fertilizer to use on its crops. The company concerned with the average yield on its crops as well as the variance of their yields. In a sample of 41 different fields with using fertilizer A, the average crop yield per acre is 185 tons with a standard deviation of 35 tons. In a separate sample of 61 different fields using fertilizer B, the average crop yield is 175 tons with a standard deviation of 28 tons. When testing the hypothesis that there is no difference between the average yields using the different fertilizers, if the test statistic is 1.53 and the critical value is 2.57 then what is your conclusion concerning the null hypothesis?
Answers
Answer:
We do not reject the null
Step-by-step explanation:
Given that :
Sample size, n = 41
Test statistic ; Zstatistic ;= 1.53
Critical value ; Zcritical ; = 2.57
The null hypothesis H0 ;
H0: μ1 - μ2 = 0
Alternative hypothesis, H1 ;
H1: μ1 ≠ μ2
Decision region :
Reject Null ; if |Zstatistic ≥ Zcritical|
Zstatistic > Zcritical
Result :
1.53 < 2.57
Zstatistic < Zcritical
Hence, we do not reject the null ; there is no significant evidence that there is difference in the average yield of the two samples.
Solve 3(4x + 5) = 33
You may use the flowchart to help you if you wish.
Answers
Answer:
This is so simple omg
Expand ”4x+5” out so...
12x + 15 = 33
12x = 33 - 15 = 18
12x = 18
x = 1.5
Answer:
Step-by-step explanation:
Simplify (-9p+7)-(-9p+3)
Answers
[tex]\tt{}( - 9p + 7) - (9p + 3)[/tex]
[tex]\tt{} - 9p - 7 + 9p + 3[/tex]
[tex]\tt{}7 - 3[/tex]
[tex]\tt{}4[/tex]
Harley invested $6,300 into an account that earns 3.5% simple interest. What is the total balance of the account after 5 years
Answers
Answer:
$7402.50 I think
Step-by-step explanation:
3.5(5)= 17.5 percent
175/1000* 6300= 17.5*63= 1102.5
6300+ 1102.5= 7402.5
if my answer helps please mark as brainliest.
ASAP HW HELP
if you don’t know answer don’t even comment
Answers
Answer:
y=1/4x-3
Step-by-step explanation:
Two angles are supplementary. One angle measures (3x+8) and the other measures (6x+64) what is the value of X?
Answers
9x+72=180 (Simplify)
9x=108 (Subtraction property of equality)
x=12
this is my last question
Answers
Answer: B
Step-by-step explanation:because my teacher said she having trouble
In a group of 84 kids, three-sevenths bought their lunches. Of those who bought their lunches, 9 got a slice of pizza. What is the fraction of the students who bought their lunches got a slice of pizza. Write your fraction in simplest form.
Answers
3/7x84=36
Ans: 9/36=1/4
Find the length of DC.
Answers
Answer:
sqart(89) in
Step-by-step explanation:
As triangle ABC is a right triangle, so sqrt(5^2 + 8^2) = sqrt(89) approximately 9.43 in.
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administration believes that the new class of freshmen have a different mean exam score. A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
Calculate a 99% confidence interval. List the lower bound (rounded to 2 decimal places) and the upper bound (rounded to 2 decimal places).
Answers
Answer:
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
This means that [tex]n = 65, \pi = 0.76[/tex]
99% confidence level
So [tex]\alpha = 0.005[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.005}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964[/tex]
0.6236*100 = 62.36%
0.8964*100 = 89.64%
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Problem 5.A miner is trapped inside a mine and has access to 3 doors. The first door leads to a tunneland can take him to safety in 3 hours. The second door is a trap and brings him back to the mine againafter 5 hours through a tunnel. The third door also is a trap that brings him back to the mine after 7 hoursthrough a tunnel. The miner at all times is equally like to choose any of the doors. (In the darkness he canhardly distinguish the three). What is the expected length of time until he reaches safety
Answers
Answer:
Expected time is 15 hours for him to get to safety.
Step-by-step explanation:
We define X as the time that this miner would get to safety.
We define Y as the door he chooses initially.
P(Y= 1) = P(Y=2)=P(Y=3) = 1/3
We have E[X|Y=1] = 3
E[X|Y] = 5 hours + E[X}
E[X|Y] = 7 hours + E[X]
Then we have
E[X] = 1/3(3 + 5 + E[X] + 7 + E[X])
We cross multiply
3*E[X] = (15 + 2E[x])
3E[X] - 2E[X] = 15
E[X] = 15
So the time it would take to get him to safety is 15 hours
helpppppppppppppppppp
Answers
Answer:
19 units, left
Step-by-step explanation:
You can use a graphing tool or create a graph to show how these lines relate to one another. Then, count the units that have been translated and where the translation occurred.
HELP ASAP ILL GIVE BRAINLIEST
Write an expression for
The product of eleven times a number less than 12
11(n - 12)
12n - 11
11n - 12
12 - 11n
Answers
Answer:
11n - 12
Step-by-step explanation:
The answers for the March 22 Recording Check
1. Solve the following one-step equation.
x+5=−7
x = -12 This is the correct answer
x = 2
2. An expression does NOT have an equal sign
The answer would be True
Which of the following is equivalent to
X^2 - 8x - 7 =0
A.) (x-8)^2 = 15
B.) (x-4)^2 = 15
C.) (x-8)^2 = 23
D.) (x-4)^2 = 23
Answers
Answer: it will be D
Step-by-step explanation: if You graph them you will get the same coordinate plates
Find the area of each of the following
Answers
Answer:
The area of this shape is 252.
Step-by-step explanation:
Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.
9 x 13 = 117 (rectangle part)
15 x 9 = 135, 135/2 = 67.5
15 x 9 = 135, 135/2 = 67.5
67.5 + 67.5 + 117 = 252
In ΔQRS, the measure of ∠S=90°, the measure of ∠R=53°, and SQ = 93 feet. Find the length of RS to the nearest tenth of a foot.
Answers
Answer 70.1
Step-by-step explanation:
Can someone give me the answer and explain it to me? Pls, I’ll mark brainiest.
Answers
you need to find the percentage of the store's profit. So the store has 10 jeans = $ 180. That means each jeans cost 18, but it sells for 24.30. So you find the profit percentage
⚠️HELP DUE TODAY⚠️
The area of a rectangular garden is x^2- 5x - 24. Factor the trinomial to find the dimensions of the rectangular garden in terms of x
Answers
Answer: (why is it 5 points?) Thats ok.
5 times what X is - 24 meaning whatever X is also by sry i don't make a lot of sense but i'm smart and know the answer. I will change it later after i find out which shouldn't take too long.
Step-by-step explanation:
Thanks, stay safe, have a great life! Byes! Brainliest then i will give answer! ;) :) :P XD :3 (: hehe :)
In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 17% have inadequate calcium intake. For those who are 11 to 13 years of age, 54% have inadequate calcium intake. Use Bayes's rule to find the probability that a child from this population who has inadequate intake is 11 to 13 years old.
Answers
Answer:
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Inadequate intake
Event B: Is 11 to 13 years old.
48% are 11 to 13 years of age.
This means that [tex]P(B) = 0.48[/tex]
For those who are 11 to 13 years of age, 54% have inadequate calcium intake.
This means that [tex]P(A|B) = 0.54[/tex]
Probability of inadequate calcium intake:
0.17 of 0.52(5 to 10 years old)
0.54 of 0.48(11 to 13 years old). So
[tex]P(A) = 0.17*0.52 + 0.54*0.48 = 0.3476[/tex]
Find the probability that a child from this population who has inadequate intake is 11 to 13 years old.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.48*0.54}{0.3476} = 0.7457[/tex]
0.7457 = 74.57% probability that a child from this population who has inadequate intake is 11 to 13 years old.
Can y’all help me on question 19?!
Answers
Answer:
Its D
Step-by-step explanation:
Just my multiplying the 2 five times and since it asks you in exponential form you do 2^5 so D will be you’re answer
Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a female will win the iPad
and a male win the flat
screen?
7.SP.8
Answers
Which graph shows the line y = 4x - 2?
Answers
Answer:
Line A
Step-by-step explanation:
Line A is the blue line with the y-intercept of (0,-2) and positive slope of 4.
I did part a and b, i need help with the question that says " does the cup hold the exact volume of scoop of ice cream" and part C
Answers
Answer:
See below.
Step-by-step explanation:
Part a is correct.
The volume of part b is correct.
The volume of a scoop is 268 cm^3.
The volume of the cylindrical cup is 402 cm^3.
Part b)
Question: Does the cup hold the exact volume of the scoop? Explain.
Answer: No. The cup holds 402 cm^3 up to the brim. If you overfill it like the picture shows, it will hold even more than 402 cm^2. A scoop is only 268 cm^3, so a cup holds more than the scoop.
Part c)
volume of cone = (1/3)(pi)r^2h
V = (1/3)(3.14159)(4 cm)^2(8 cm)
V = 134 cm^3
Compare the original trapezoid and the enlarged trapezoid.
Trapezoid A B C D has side lengths 4 centimeters, 2 centimeters, 5 centimeters, 2 centimeters. Trapezoid W X Y Z has side lengths 10 centimeters, 5 centimeters, 12.5 centimeters, 5 centimeters.
What is the perimeter of trapezoid ABCD?
What is the perimeter of trapezoid WXYZ?
What is the scale factor for this enlargement?
Answers
Answer:
13, 32.5, 2.5
Step-by-step explanation:
Answer:
The answer is in the photo
Step-by-step explanation: