Answer:
-1Solution,
Let the points be A and B.
A(-2,3)---->(X1,y1)
B(-5,6)---->(x2,y2)
Now,
[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 3}{ - 5 - ( - 2)} \\ = \frac{3}{ - 5 + 2} \\ = \frac{3}{ - 3} \\ = - 1[/tex]
Hope this helps..
Good luck on your assignment..
If a vehicle travels 25x miles in 2 hours, what is the vehicle's average speed, in miles per hour.
Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.
Work:
In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.
So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.
25/2 = 12.5
That means, the vehicle is traveling at a speed of 12.5 mph.
Thus, the average speed of the vehicle is 12.5 miles per hour (mph).
An ellipse is graphed. Which statements about the ellipse are true? Select three options. An ellipse is graphed. Which statements about the ellipse are true? Select three options. The center is at (−4, 2). The distance between the center and each covertex is 3 units. The vertices are at (−7, 1) and (−1, 1). Each focus is approximately 2.65 units above or below the center. The directrices are horizontal lines approximately 6 units from the center on the major axis.
Answer:
b, d, e
Step-by-step explanation:
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Define Ellipse.An ellipse is just a circular plane curve created by a geographical distances in such a manner that the sum of its lengths from two points is always the same.
The distance between the center and each covertex is [tex]3[/tex] units.
Each focus is approximately [tex]2.65[/tex] units above or below the center.
The directrices are horizontal lines approximately [tex]6[/tex] units from the center on the major axis.
Find out more information about ellipse here:
https://brainly.com/question/19507943?referrer=searchResults
Using the distance formula, find the distance between two points. (6, 0) (-5, 4)
Answer:
11.7046999
Step-by-step explanation:
using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:
d=√(6-(-5)² + (0-4)²
d=√(11)²+ (-4)²
d=√121+16
d=√137
d approximately equal to (≈) 11.7046999 or 11.7 or 11
897-113×2:2+113
A) 888
B) 987
C) 898
D) 1694
E) 897
Answer:
d it is what it is my man's
write the coordinate point for the vertex of this parabola x=-1/8y^2
Answer:
(0,0)
Step-by-step explanation:
x = -⅛y²
The equation exchanges x and y, so this is a sideways parabola.
It opens to the left because the coefficient of y² is negative.
The vertex form of a sideways parabola with its vertex at (h, k) is:
x = a(y – k)² + h
Your equation is
x = -⅛(y - 0)² + 0
By comparing the two equations, we find that
h = 0; k = 0.
The vertex is at (0, 0).
The Figure shows your parabola with its vertex at (0,0).
Answer:
(0,0)
Step-by-step explanation:
The given line segment has a midpoint at (3, 1).
On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, negative 2).
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
y = One-thirdx
y = One-thirdx – 2
y = 3x
y = 3x − 8
Answer:
[tex]y=\frac{1}{3}x[/tex]
Step-by-step explanation:
The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)
Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex].
Therefore the line passing through (2, 4) and (4, -2) has an equation:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10[/tex]
Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10
Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:
[tex]m_1m_2=-1[/tex].
Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:
[tex]m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}[/tex]
Since it is the perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:
[tex]\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x[/tex]
the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is [tex]y=\frac{1}{3}x[/tex]
Answer:
I believe the answer is A. y = 1/3x
Step-by-step explanation:
Find a formula for the general term of each of the following sequences a)7,13,19,25,31
Answer:
aₙ= 6n+1
Step-by-step explanation:
7,13,19,25,31
Given, AP with the first term of 7, and common difference of 6
Nth term:
aₙ= a₁+(n-1)d= 7 + (n-1)*6= 7+6n-6= 6n+1aₙ= 6n+1What are the domain and range of f(x) = 2x - 4?
Answer:
y intercept is -4 and the slope is 2. You can figure it out from there. Just make a graph
Step-by-step explanation:
If ε= {x: x is an integer such that 1
2 < x < 12,
4 < x < 21,
-1 < x < 9
0 < x < 8
x<6
From above: 4 < x < 6 --> x = 5.
Answer: B.
Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.
A. 1/6
B. 5/6
C. 25/36
D. 10
Answer:
A
Step-by-step explanation:
Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then
minimum/ maximum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = x² - [tex]\frac{5}{3}[/tex] x + [tex]\frac{31}{36}[/tex] ← is in standard form
with a = 1 and b = - [tex]\frac{5}{3}[/tex] , thus
[tex]\frac{x}{vertex}[/tex] = - [tex]\frac{-\frac{5}{3} }{2}[/tex] = [tex]\frac{5}{6}[/tex]
Substitute this value into y
y = ([tex]\frac{5}{6}[/tex] )² - [tex]\frac{5}{3}[/tex] ([tex]\frac{5}{6}[/tex] ) + [tex]\frac{31}{36}[/tex]
= [tex]\frac{25}{36}[/tex] - [tex]\frac{25}{18}[/tex] + [tex]\frac{31}{36}[/tex] = [tex]\frac{1}{6}[/tex]
Since a > 1 then the vertex is a minimum, thus
minimum value = [tex]\frac{1}{6}[/tex] → A
can you pls help thank you
Answer:
not a function
Step-by-step explanation:
This is not a function. For the value x =2 there are two different y values
To be a function each value of x has only one value for y
This would also fail the vertical line test
According to the graph, what is the solution to this system of equations?
(2,3)
(3, 2)
(-1, 4)
(4, -1)
A pizza has a diameter of 6 inches and is cut into 8 slices. What is the area of each slise th BOXES are the options PLEASE I NEED HELP RIGHT NOW
Answer:
3.53 inch
Step-by-step explanation:
area = 1/8 π r² with r=3 inch (half diameter)
= 9/8 π ≈ 3.534 inch²
Answer:
2.53 in,3.53 in
i hope this helps sorry if it doesn't
The number of deaths by road as recorded in a country is 2 per 50,000 of the population. Find the probability that in a town of 100,000 inhabitants within the country (a). between one and three inclusive, and (b). between two and five deaths by road will be recorded.
Answer:
(a) 0.635
(b) 0.498
Step-by-step explanation:
(a) The probability distribution is calculated using the cumulative distribution function of the Poisson as follows;
CDF = [tex]F(x)=e^{-\lambda t}\sum_{i = 0}^{\left | x \right |}\dfrac{\lambda t^{i}}{i!}[/tex]
For x = three we have;
CDF = 0.781
For x = one we have;
CDF = 0.1465
Therefore, the probability that between one and three inclusive = 0.781 - 0.1465 = 0.635
(b) For x = 2 we have;
CDF = 0.4395
For x = one we have;
CDF = 0.9378
Therefore, the probability that between one and three inclusive = 0.9378- 0.4395= 0.498
You are walking near a river. While standing at A, you measure an angle of 90° between B and C, as shown. You then walk to B and measure an angle of 77° between A and C. The distance between A and B is about 1.5 miles. How wide (in miles) is the river between A and C? Round your answer to the nearest tenth.
Answer:
Length of AC = 6.67 miles
Step-by-step explanation:
Given:
Angel between B and C = 90°
Angel between A and C = 77°
AB = 1.5 miles
Find:
Length of AC
Computation:
Using trigonometric laws
Cos 77° = Base / hypotenuses
0.225 = 1.5 / hypotenuses
hypotenuses = 6.67 miles
Length of AC = 6.67 miles
Read the following two statements. Then, if possible, use the Law of Detachment to draw a conclusion. If two figures are congruent, their areas are equal. The area of ABCD equals the area of PQRS. I will make you a brainllest
Answer:
not possible
Step-by-step explanation:
The Law of Detachment is:
If p, then q. p is true. We can then conclude q is true.
For example:
If it rains, the grass gets wet. It is raining. Then the grass is wet.
In the problem in this post, it is not possible to use the Law of Detachment because we have:
If p then q. q is true. We are not told p is true, so we cannot conclude q is true.
Answer: not possible
a traffic light can either be green, yellow or red. for every minute, the light stays green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. At any given moment of the day, what is the probability that the light will be yellow? a. 1/12 b. 1/9 c. 1/8 d. 1/6 e. 1/3
Answer:
a. 1/12 (hope it help)
Step-by-step explanation:
5sec/60sec=1/12
5. The monthly rent of a flat in New Delhi is 32 860 rupees.
How much is this in euros?
1
Answer:
386.11
Step-by-step explanation:
32,860=€386.11
for how many values of k will x² + kx + 12 factor?
Answer:
6
Step-by-step explanation:
We want to factor the trinomial into a product of binomials. In general, we have ...
(x +a)(x +b) = x² +(a+b)x +ab
So, the values of "a" and "b" need to have a product of 12. There are 6 ways to do that:
12 = 1·12 = 2·6 = 3·4 = (-1)(-12) = (-2)(-6) = (-3)(-4)
The values of k are the sums of these factors of 12, so are
1+12 = 13
2+6 = 8
3+4 = 7
-1-12 = -13
-2-6 = -8
-3-4 = -7
There are 6 possible integer values of k that will make the trinomial factorable in integers:
k ∈ {-13, -8, -7, 7, 8, 13}
URGENT I NEED THIS DONE PLEASE ILL GIVE THE FIRST ANSWER BRAINLIEST Charles begins finding the volume of a trapezoidal prism using the formula A = One-half(b1 + b2)h to find the prism's base area. Charles's work: A = ((x + 4) + (x + 2))x A = (2x + 6)x A = (x + 3)x A = x2 + 3x Which expression can be used to represent the volume of the trapezoidal prism? A. 2x3 + 6x2 B. x3 + 6x2 C. x3 + 3x2 D. 2x3 + 3x2
Answer:
2x3 + 6x2
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
The number r is irrational. Which statement about r+7 is true? r+7 is rational r+7 is irrational r+7 can be rational or irrational depending on the value of r
Answer: r+7 is irrational
Step-by-step explanation:
1) If r is irrational, that means that it goes on and on forever.
2) 7 is a rational number because it can be expressed as a quotient of 2 integers (7÷1=7)
3) If you add a rational number to an irrational number it is still irrational. The numbers after the decimal point keep going and going. You are just changing the whole number, which if to the left of the decimal point.
Subtracting Fractions
13 minus 12/40 equals
Answer:
12 7/10
Step-by-step explanation:
13 - 12/40
Simplify the fraction
13 - 3/10
Borrow 1 from 13 in the form of 10/10
12 + 10/10 - 3/10
12 7/10
Please helppppp meeeeee it would mean the worlddddd
Answer:
x = 7.5
Step-by-step explanation:
Apply the square root principle to solve (x - 2)2 + 20 = 0.
OA) x = 2 + 2115 , X = 2 - 2015
OB) x = 2 + 215 , X = 2 - 215
OC) x = -2 + 2i15, x = -2 - 2115
OD) x = -2 + 215,= -2 - 2 15
Please help. I don't understand how to solve this problem.
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
Hope this helps, if it does, please consider giving me brainliest, it will help me a lot.
Have a good day! :)
which of the following graphs shows a negative linear relationship with a correlation coefficient, r, close to -0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
A value of r that is -0.5 shows that there is a certain correlation and that this correlation is negative.
As there are no examples in this question, I searched for a generator of random samples with a user-input correlation coefficient between the two variables.
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Answer:
In the graph attached there is a sample generated with a correlation coefficient r=-0.5.
Step-by-step explanation:
Divide up the number 60 in 2:3:5 ratio.
Answer:
Step-by-step explanation:
In circle A, angle BAE is congruent to angle DAE.
What is the length of BE?
You need to give us answer choices.
However, I looked back to previous questions posted on Brainly, and I found one that was similar to yours.
The length of BE could possibly be 27 units.
- I hope this helps. Next time, please use the search feature :)))
You want to know whether the students in your school enjoy the school lunch. You survey every student in your class. Is this survey biased or unbiased?
Answer:
biased
Step-by-step explanation:
on my quiz good luck
The survey is biased because a biased sample favors one or more segments of the population over others.
What is a survey?A survey is a means of gathering information from a sample of people using pertinent questions with the goal of understanding populations as a whole.
We have:
You want to know whether the students in your school enjoy the school lunch.
As we know,
A biased sample favors one or more segments of the population over others, whereas an impartial sample gives everyone in the population an equal chance of being chosen.
The population is the collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it
Thus, the survey is biased because a biased sample favors one or more segments of the population over others.
Learn more about the survey here:
brainly.com/question/17373064
#SPJ5
Piravena must make a trip from A to B then from B to C, then from C to A. Each of these three parts of the trip is made entirely by bus or entirely by airplane. The cities form a right-angled triangle as shown, with C a distance of 3000 km from A and with B a distance of 3250 km from A. To take a bus, it costs Piravena $0.15 per kilometer. To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer. Determine the distance she travels for her complete trip. URGENT! I Will mark brainiest if it is correct
Answer:
a) Cost of flying from A to B = $425
b) Total distance travelled by Piravena during the complete trip = 7,500 km
c) To minimize cost and arrive at the final cost given, she must have travelled by bus from B to C and then travelled by taking an airplane from C to A.
Step-by-step explanation:
The complete question is presented in the attached image to this question.
Full Question
a) To begin her trip she flew from A to B. Determine the cost of flying from A to B.
b) Determine the distance she travels for her complete trip.
c) Piravena chose the least expensive way to travel between cities and her total cost was $1012.50. Given that she flew from A to B, determine her method of transportation from B to C and her method of transportation from C to A.
Solution
a) The distance from A to B is given as 3250 km.
To take an airplane, it costs her a $100 booking fee, plus $0.10 per kilometer.
So, to fly 3250 km, she will pay
100 + (0.10×3250) = $425
b) For her complete journey, she is to make a trip from A to B then from B to C, then from C to A.
Her complete distance travelled = AB + BC + CA
But it is given that the three cities form a right angled triangle as given in the question with AB serving as the hypotenuse side.
Pythagoras theorem gives that the square of the hypotenuse side is equal to the sum of the respective squares of the other two sides
AB² = BC² + CA²
3250² = BC² + 3000²
BC² = 3250² - 3000² = 1,562,500
BC = √1,562,500 = 1,250 km
Total distance covered by Piravena during the entire trip = AB + BC + CA = 3250 + 1250 + 3000 = 7,500 km
c) Her total cost of travel = $1012.50
But she definitely flew from A to B at a cost of $425
This means she spent (1012.50 - 425) on the rest of the journey, that is, $587.5
Note that to travel by bus, it is $0.15 per kilometre and to travel by airplane is $100 + $0.10 per kilometre. Indicating that the airplane saves cost on long distance travels while the bus saves cost on short distance travels.
To confirm this, we calculate the two options (bus or airplane) for each route.
If she travels B to C by bus, cost = 0.15 × 1250 = $187.5
If she travels B to C by airplane, cost = 100 + (0.10×1250) = $225
Hence, the bus obviously minimizes cost here.
If she travels from C to A by bus, cost = 0.15 × 3000 = $450
If she travels from C to A by airplane, cost = 100 + (0.10×3000) = $400
Here, travelling by airplane minimizes the cost.
So, if we confirm now that she travelled from B to C by bus and then from C to A by airplane, total cost = 187.5 + 400 = $587.5
which is the remaining part of her total cost is she minimized expenses!
Hope this Helps!!!
Answer:
The distance is 7500 kilometers
Step-by-step explanation:
I got the answer wrong myself and the website told me that it’s 7500 kilometers