What is an equation of the line that passes through the points (-6, 2) and
(-4, -1)? Put your answer in fully reduced form.
Answers
Answer (assuming the equation can be written in point-slope form):
[tex]y-2 = -\frac{3}{2}(x+6)[/tex]
Step-by-step explanation:
When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].
1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:
[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]
Thus, the slope is [tex]-\frac{3}{2}[/tex].
2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for
[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]
Related Questions
Page No.
Date :
33
2
4 Cosin 4 Go + eces4 300 3 citan
60 - tan245) + 5 ecos? 45.
Answers
Azil runs 6 times four-fifths laps on Monday. Which fraction represents the number of laps that Azil runs on Monday?
Answers
Answer:
24 / 5 laps
Step-by-step explanation:
Fraction of laps run = 4/5 laps
Number of times lap was run = 6
Fraction representing total laps run :
6 * (4/5)
= 24 / 5
Or
24 /5 = 4 4/5 laps
I will give brainiest. There is 1/ 3 gallon of water in a 3-gallon container. What fraction of the container is filled?
Answers
plss helpppppppppp w,jvkwsvkjbw,vj effvdefv
Answers
Answer:180
Step-by-step explanation:
a total of 11℅ students at a large high school are left-handed. A statistics teacher selects a random sample of 100 students and records L = the number of left-handed students in the sample.
a. Explain why L can be modeled by a binomial distribution even though the sample was selected without replacement.
b. use a binomial distribution to estimate the probability that 15 or more students in the sample are left-handed handed.
Answers
The probability that 15 or more students in the sample are left-handed handed is 0.0752
(a) Why L can be a binomial distribution
From the question, we understand that 11% of the students are left-handed; this means that 89% are not left-handed
This, in other words means that:
For each observation, the student is either left-handed or not left-handed
Hence, the distribution can be represented by a binomial distribution
(b) The probability that 15 or more are left-handed
The sample size is given as:
[tex]\mathbf{n = 100}[/tex]
And the proportion is
[tex]\mathbf{p = 11\%}[/tex]
The mean of the dataset is:
[tex]\mathbf{\mu = np}[/tex]
[tex]\mathbf{\mu = 100 \times 11\%}[/tex]
[tex]\mathbf{\mu = 11}[/tex]
The standard deviation of the dataset is:
[tex]\mathbf{\sigma = \sqrt{\mu(1- p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{11 \times (1- 11\%)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{11 \times 89\%}}[/tex]
[tex]\mathbf{\sigma = \sqrt{9.79}}[/tex]
[tex]\mathbf{\sigma = 3.13}[/tex]
So, the probability is represented as:
[tex]\mathbf{P(x \ge 15)}[/tex]
Using continuity correction, we have:
[tex]\mathbf{P(x \ge 15) = P(x \ge 15.5)}[/tex]
Calculate the z-score for x = 15.5
[tex]\mathbf{z =\frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z =\frac{15.5 - 11}{3.13}}[/tex]
[tex]\mathbf{z =\frac{4.5}{3.13}}[/tex]
[tex]\mathbf{z =1.438}[/tex]
The probability is then calculated as:
[tex]\mathbf{P(x \ge 15) = P(z \ge 1.438)}[/tex]
Using z-tables of probabilities, we have:
[tex]\mathbf{P(x \ge 15) = 0.075217}[/tex]
Approximate
[tex]\mathbf{P(x \ge 15) = 0.0752}[/tex]
Hence, the probability is 0.0752
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determine whether the parallelogram is a rectangle or rhombus J(5,2), K(2,5), L(-1,2), M(2,-1)
Answers
Answer:
Rhombus
Step-by-step explanation:
2/3 times 1/2 =
IN SIMPLEST FORM
I GIIVE BRAINY
Answers
Answer:
1/3!
Step-by-step explanation:
Look us Cymath on g0ogle, its a calculator that shows its work!
Find x
Geometry angles question
Answers
Answer:
5
Step-by-step explanation:
When the angles are vertical you set up your equation to 180
3x-35+130=180 and solve
Learning Task 1
4/625
11.
796
A. Simplify the radical expressions
1. V63
6. V24
2. 48
7. 781
3. 775
8. V128
4. 99
9. 340
5. 92
12. 128
13. 4/243
14.
V3000
10. V135
15.
NO
Answers
Answer:
Step-by-step874747634734634347
Sam opens a savings account with $800. He saves $50 per month. Assume that he does not withdraw money or make any additional deposits.
Answers
Answer:
wheres the end of the question
Step-by-step explanation:
Sam opens a savings account with $800. He saves $50 per month. Assume that he does not withdraw money or make any additional deposits.
Write a linear model (equation) that represents the total amount of money Sam deposits into his account after m months.
Equation:
b. After how many months will Sam have more than $3500? Show your work.
c. Use the equation and create a table to represent the situation.
Solution:
Savings = 800 + 50m
$800 is the initial savings and $50 are saved every month. By adding these two, we will get the total savings.
B) Use 3500 in the above equation
3500 = 800 + 5m
Taking 800 to other side
5m = 3500 - 800
5m = 2700
m = 2700/5 = 540
It will take him 540 months to save $3500. So we can say that it will take him 541 months to make more than $3500.
C) Make a table with two columns: Months and Total Savings
Take random values of m, put those values in the equation to get total savings for that month.
m savings
0 800
2 810
4 820
6 830
explain why the miniscus of water is bent downwards
Answers
Answer:
A concave meniscus, which is what you normally will see, occurs when the molecules of the liquid are attracted to those of the container. This occurs with water and a glass tube. A convex meniscus occurs when the molecules have a stronger attraction to each other than to the container, as with mercury and glass.
Leticia and Carmen were each given 120 math questions for the month. After 3 weeks,
Leticia completed 75% of the problems and Carmen completed 60% of the problems
How many more questions did Leticia complete thon Carmen?
Answers
A credit card company charges the retail stores a 1.5% fee for each transaction. If a store receives $2,400 in credit card charges one day, how much will it have to pay in fees?
Answers
Answer: It will have to pay $36 in fees.
Step-by-step explanation: Hope this helps:) please mark me brainliest.
GEOMETRY Identify the segment bisector of (FG) . Then find (FG)
Answers
Answer:
The segment bisector of FG is HI because it splits it into two equal parts. Since point F to the bisector equals 33 and the bisector to point G is the same, that would also be 33. 33+33=66=FG
Step-by-step explanation:
The measurement of the line segment FG is 66 units.
We need to identify the segment bisector of FG and then find FG.
What is the bisector of the line segment?A segment bisector is a line, a ray, a line segment, or a point that cuts a line segment at the centre dividing the line into two equal parts. The word segment can also be referred to as line segment which means a segment is a part of the line that has fixed endpoints. The word bisect means cutting any object or line into two equal halves. Hence, a segment bisector is referred to as when two line segments bisect or cut each other at a point dividing the lines into equal halves.
From the given figure, HI is the bisector of the line segment FG.
Given that, 1/2 (FG)=33 units
⇒FG=66 units
Therefore, the measurement of the line segment FG is 66 units.
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Help me please......
Answers
Answer:
[tex] \huge \: 19[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationtriangles congruencyPEMDASTIPS AND FORMULAS:when two triangles are congruent the included angles and sides of the triangles are equallet's solve:[tex]step - 1 : define[/tex]
[tex]2x - 9 = x + 5[/tex]
[tex]step - 2 :solve[/tex][tex]2x = x + 5+ 9[/tex]
[tex]2x = x + 14[/tex]
[tex]2x - x = 14[/tex]
[tex]x = 14[/tex]
given:KL=2x-9
=2.14-9
=28-9
=19
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?
Answers
Answer:
Kitten is 15 seconds and dog is 10 seconds
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time.The kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
What is concept of Work and time?
In work and time the time taken is inversely proportional to the work done. Work and time is a concept to solve the problems of work related question in a given time
Given-Puppy and kitten eats one sausage combined in 6 sec.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage.
Let puppy eats a sausage in [tex]x[/tex] seconds and kitten eats a sausage in [tex]y[/tex] seconds.
As Puppy and kitten eats one sausage combined in 6 sec.Thus,
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{6}[/tex]
Let above equation is equation one.
A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. Thus
[tex]\dfrac{1}{x} -\dfrac{1}{y}=\dfrac{1}{5}[/tex]
Put this value of [tex]x[/tex] in the the equation one to get the value of y. Therefore,
[tex]\dfrac{1}{6} -\dfrac{1}{y}-\dfrac{1}{y}=\dfrac{1}{5}[/tex]
[tex]-\dfrac{1}{2y}=\dfrac{1}{5}-\dfrac{1}{6}[/tex]
[tex]-\dfrac{1}{2y}=-\dfrac{1}{30}[/tex]
[tex]y=15[/tex]
Thus the kitten eats a sausage in 15 seconds.
Put the value of y in equation one. thus,
[tex]\dfrac{1}{x} +\dfrac{1}{15} =\dfrac{1}{6}[/tex]
[tex]\dfrac{1}{x} =\dfrac{1}{6}-\dfrac{1}{15}[/tex]
[tex]\dfrac{1}{x} =\dfrac{9}{90}[/tex]
[tex]x=10[/tex]
Thus the puppy eats a sausage in 10 seconds.
Hence the kitten eats a sausage in 15 seconds and puppy eats a sausage in 10 seconds.
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Simplify the following:
a) 3^2x3^2
b) 7x7^4
c) 10^9/10^7
d) 5^8/5
Answers
Answer:
see attached
Step-by-step explanation:
pleass see attached
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G. What are the coordinates of G?
Answers
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in m:n, then the coordinates of that point are
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
Point G divide the line segment FH in 8:2. Using section formula, we get
[tex]G=\left(\dfrac{8(8)+2(-8)}{8+2},\dfrac{8(6)+2(-2)}{8+2}\right)[/tex]
[tex]G=\left(\dfrac{64-16}{10},\dfrac{48-4}{10}\right)[/tex]
[tex]G=\left(\dfrac{48}{10},\dfrac{44}{10}\right)[/tex]
[tex]G=\left(4.8,4.4\right)[/tex]
Therefore, the coordinates of point G are (4.8, 4.4).
Solve for x using factoring.
Answers
Answer:
the answer is [tex]\frac{3x^{2} -10x+15}{4x^{2} -12x}[/tex]
Step-by-step explanation:
PLS PLS PLS HELPPP please...
Answers
Answer: x=12
Step-by-step explanation: 10(x−3)=90
(10)(x)+(10)(−3)=90 (Distribute)
10x+−30=90
10x−30=90
Step 2: Add 30 to both sides.
10x−30+30=90+30
10x=120
Step 3: Divide both sides by 10.
x=12
It is given that x2 - 6x + 14 = (x+p) +9 Find the value of p and q.
Answers
Answer:
-3x2-6x-3+14 that is the answer
Step-by-step explanation:
x/-3
Can someone tell me if my answer is correct (and correct it if it's not)?
What is the area of an EQUALATERAL triangle with a side length of 6? I'm getting 5.19615242, is this right?
Answers
Answer:
15.59.
Step-by-step explanation:
The altitude of equilateral triangle bisects the base
So 1/2 base = 3.
Altitude of the triangle is found from Pythagoras theorem:
= sqrt(6^2 - 3^2)
= sqrt27
Area = 1/2 base * altitude
= 3 * sqrt27
= 15.59
ordenar de mayor a menor los siguientes números racionales
[tex] \frac{2}{5}; - \frac{1}{4}; - 0.43; \frac{2}{3} ; - \frac{4}{5} ; - \frac{3}{2} ; - 0.2[/tex]
necesito ayuda por favor
Answers
I really need help. ( Intro to limits )
Answers
URGENT I need help.
Plzzzzzzzzzzzzzzzzzzzzzz Its Attached
Answers
Answer:
what is you belling? yesterday y monday
How many three-digit numbers are divisible by 2,3 or 5? plEASe helP I aM DeSpeRatE
GIVE ME THE RIGHT ANSWER
Answers
Answer:
30
Step-by-step explanation:
- A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0
- A number is divisible by 3 if ist sum of digits is divisible by 3.
- A number is divisible by 5 if its last digit is a 5 or a 0.
_
The least 3 digit number divisible by 30 is 120 and the greatest is 990.
Answer: 30
Step-by-step explanation:
Divisible by 2,3 and 5 means divisible by 2*3*5=30
So we require to calculate number of multiples of 30 in the range 100 to 999.
The least 3 digit number divisible by 30 is 120 and greatest is 990.
This is an AP series with common difference 30.
First number is 120 and n'th number is 990.
We need to find n.
Using the AP series formula
120 + (n-1)*30= 990
or n= 30
There are 30 3-digit numbers divisible by 2,3 and 5.
Please help will give brainliestw
Answers
Answer:
6 square units
Step-by-step explanation:
In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.
I got 3 unites for the height and 4 units for the base
4 x 3 = 12 square units
however the formula for a triangle is Ab/2
so divide 12/2 = 6
So its 6 square units
plz help me solve this
Answers
Answer:
[tex]=2x^{5} y^{5} \sqrt{7}[/tex]
Step-by-step explanation:
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4. The total cost of the lunches is $47, including a $7 delivery fee. Write and solve an equation to find x, the number of boxed lunches Janie ordered.
Answers
Answer:
10 lunches
Step-by-step explanation:
$47-$7=$40
40/4=10
Hello, 928747!
So we are trying to find how many boxed lunches Janie ordered.
Each box is $4.00 and the total cost is $47.00 + delivery fee of $7.00
So to find this, we will first subtract the delivery fee because that does not count towards the lunches.
47 - 7 = 40
So the boxed lunches cost $40.00
To find how many Janie ordered, we will divide 4 by 40
40 ÷ 4 = 10
So Janie bought 10 boxed lunches.
The equation would be (47 - 7) ÷ 4
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What is the value of y? A. 57 B. 33 C. 66 D. 114
Answers
Answer:
57
Step-by-step explanation:
a pec
Option A is correct, the value of y is 57 degrees in the triangle.
We have to find the value of y in the given triangle.
Initially let us find the adjacent angle or interior angle which is adjacent to 114 degrees.
We know the straight line has an angle of 180 degrees
114+x=180
x=66 degrees.
By angle sum property the sum of three angles is 180 degrees.
66+y+y=180
66+2y=180
Subtract 66 from both sides:
2y=180-66
2y=114
Divide both sides by 2:
y=57 degrees
Hence, the value of y is 57 degrees in the triangle.
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