Answers
Answer:
No, the slope's are not the same
Short-cut explanation:
Simply count the spaces between the two lines at the very top then compare to the number of space between at the very bottom of the graph.
There are 2 spaces between the two lines at the top. There seems to be 1 and 1/2 spaces at the very bottom.
[tex]2\neq 1.5[/tex] , therefore, not parallel.
If they are the same, then it is parallel. Although, in this case, it is not(Shown on the graph).
Answer:
Basic Concept:
A criterion for parallel lines is that they should have equal slopes. If the slopes of these lines is equal, these lines are parallel and are intersecting if the slopes are not equal
let the line on the left be 'line 1' and the line on the right be 'line 2'
Slope of Line 1:
We are given 2 points on the line and we will use them to get its slope
We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate
The points given are: (-3 , -5) and (0 , 4)
Change in x:
The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates
Change in x (Δx) = x1 - x2
Δx = -3 - 0
Δx = -3
Change in y:
The change in y of these 2 can similarly be calculated by subtrating the y-ordinates
change in y (Δy) = y1 - y2
Δy = -5 - 4
Δy = -9
Slope of the line:
Since the slope = Δy / Δx
Replacing the known values:
Slope = -9 / -3
Slope = 3
Therefore, the slope of 'line 1' is 3
Slope of Line 2:
We are given 2 points on the line and we will use them to get its slope
We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate
The points given are: (0 , -6) and (4 , 4)
Change in x:
The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates
Change in x (Δx) = x1 - x2
Δx = 0 - (4)
Δx = -4
Change in y:
The change in y of these 2 can similarly be calculated by subtrating the y-ordinates
change in y (Δy) = y1 - y2
Δy = -6 - 4
Δy = -10
Slope of the line:
Since the slope = Δy / Δx
Replacing the known values:
Slope = -10 / -4
Slope = 5/2
Therefore, the slope of 'line 2' is 5/2
Conclusion:
We have calculated the slope of both the lines.
now, we will compare the slopes to find out if the lines are parallel or not
Slope 1 = 3
Slope 2 = 5/2
Since the slopes are NOT equal, the lines are not parallel
Related Questions
A practice field is in the shape of a rectangle. The area of the practice field is represented by 5x^2 + 30x -7xy -42y. Find the expressions that represent the length and width of the practice field.
Answers
Answer:
length and width are x + 6 and 5x - 7y
Step-by-step explanation:
5x² + 30x - 7xy - 42y
= 5x(x + 6) - 7y(x + 6)
= (x + 6)(5x - 7y)
so
length and width are x + 6 and 5x - 7y
What would be the answer of 5(x-2)=30 in dustributive property
Answers
Answer:
x = 8
Step-by-step explanation:
5(x-2)=30
Distribute
5x- 10 = 30
Add 10 to each side
5x-10+10 = 30+10
5x= 40
Divide by 5
5x/5=40/5
x = 8
Answer:
x=
Step-by-step explanation:
using distributive property, you multiply 5 by x and by 2, which gets you 5x and 10
5(x-2)=30
5x-10=30
5x=40
x=8
factorise fullythe following
7x^3-35x
4x^3+24x^2
Answers
[tex]7x(x^2-5)[/tex]
Step-by-step explanation:
[tex]7x^3-35x[/tex]
Factor Greatest Common Factors out
[tex]7x(x^2-5)[/tex]
I hope this helps you
:)
1/7 x 2/3
whats the answer? show ur work
Answers
Answer:
Step-by-step explanation:
1/7×2/3=2/21
Solution with Steps
1/7×2/3=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
1×2 and 7×3=2/21
This fraction cannot be reduced.
Therefore:
1/7×2/3=2/21
Solution by Formulas
Apply the fractions formula for multiplication, to
1/7×2/3
and solve
1×2 and 7×3
=2/21
Answer:
1/7 × 2/3 is 2/21
becuase, if you times the numerators, which are the top numbers; and then the denominators which are the bottom numbers; like if you multiply 1×2 you get 2 and 7×3 is 21.
I'm doing a project for math where I have to come up with a real-life story problem using the Pythagorean theorem. I need to write a story problem of finding a leg.
Please help me
I'll give brainiest
Answers
Answer:
One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?
Step-by-step explanation:
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answers
What is the length of b in the triangle?
Answers
Answer:
8 in
Step-by-step explanation:
[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]
What is the value of 5.7 x 1089
Answers
Answer:
570,000,000 is the answer hope this helps ^^
Step-by-step explanation:
Answer:
6,207.3
Step-by-step explanation:
=> 5.7 x 1089
multiply 1089 by 5.{=[tex]6,207.3[/tex]
The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 5].
2
8
11
13
Answers
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so
[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]
[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]
solve the inequality and state the answer in interval notations 3x-7 ≤ 14
Answers
Answer:
Step-by-step explanation:
3x-7 ≤ 14
3x≤ 14+7
3x≤ 21
x≤ 21/3 = 7
=> x = (-∞;7]
That means that x can be any negative number and any positivi number (1,2,3...7)
What are the answers??
Answers
Answer:
1. $180
$43,187
$23,187
2. $335
$100,703
$60,703
3. $341
$81,798
$41,798
Jessie is following a chocolate milk recipe that requires of 2 cups milk and 5 tablespoons of cocoa powder. He wants to make a large batch. How many cups of milk does he need if the batch requires 40 tablespoons of cocoa powder?
Answers
Step-by-step explanation:
5 tablespoons = 2 cups milk
1 tablespoon = 2/5 cups milk
40 tablespoons = 2/5 × 40 = 16 cups milk
what is the mean for 98,78,84,75,91
Answers
Helllllllllpppppppppp
Answers
Answer:
C
Step-by-step explanation:
Literally just do the work yourself man...
If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
Answers
Answer:
The green line is LM
The red line is JM
The blue point is at the coordinates (2/3, -14/3)
Step-by-step explanation:
10. Given a = 7, b = 6, and c = 10, use the Law of Cosines to solve for A. Round your answer to the nearest degree.
11. Find the area of the triangle given a = 13, c = 21, and B = 87 degrees. Round your answer to the nearest tenth.
12. Find the area of the triangle given a = 6, b = 16, and C = 95 degrees. Round your answer to the nearest tenth.
Answers
Answer:
10) 44° (nearest degree)
11) 136.6 units² (nearest tenth)
12) 47.8 units² (nearest tenth)
Step-by-step explanation:
Please see the attached pictures for the full solution.
Answer:
All 20 people must go as one group if they want to save $500.
25.323=36*8 divided by 12
Answers
Answer:
False
Step-by-step explanation:
[tex]36 \times 8 = 304[/tex]
[tex]304 \div 12 = 25.333[/tex]
[tex]25.323=25.333[/tex]
Hence, the equation is false.
The equation y=-3x² describes a parabola. Which way does the parabola open?
A. Left
B. Right
C. Up
D. Down
Answers
help plss help me find the awnser
Answers
Answer:
3) D
5) C
3) 6m+5n-m --> 6(5)+5(3)-(5)
30+15-5 --> 45-5 --> 40
5) 4(x+4)+2
4x + 16 +2
4x +18
Answer:
3)
Given:
m = 5
n = 3
We plug in these values into our equation (6m + 5n - m);
6m + 5n - m
Now modified, would be:
6(5) + 5(3) - 5
30 + 15 - 5
45 - 5
= 40
5)
If we simplify this expression,
4(x + 4) + 2
We use the distributive property to multiply 4 to both x and 4 which are in the brackets.
Which will now be;
4x + 16 + 2
Now we combine like terms (our constants):
(16 + 2) = 18
So it would be, now:-
4x + 18, C is your answer.
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?
Answers
Answer:
6 hours and 24 minStep-by-step explanation:
The distance is:
60*8 = 480 milesReturn trip will take:
480/75 = 6.4 hours = 6 hours and 24 minFood poisoning occurs when bacteria like Salmonella and Listeria grow on food. These microorganisms grow at an
exponential rate. When an initial population of 100 bacteria are left at 98.6°F, they will grow at a rate of b= 100(8)". Which
graph could be used to calculate the number of bacteria after a certain number of hours?
Answers
The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y represent the amount of bacteria after x hours. Hence:
y = 100(8)ˣ
The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Answer:
its c third graph
Step-by-step explanation:
right on edge
PLEASE GIVE ALL RIGHT
A female hippopotamus can weigh 48,000 ounces. How many tons can a female hippopotamus weigh?
__ tons
Give total of tons correctly
Answers
What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place
Answers
Answer:
your answer would be 2035.75ft³
please help please help
Answers
Answer:
1/16 meters
Step-by-step explanation:
perimeter of a square = 4 x length of each side,
so the length of each side is (1/4)/4 = 1/16 meters
PLEASE ANSWER FAST!!!
Answers
A rectangular city is 2 miles long and 7 miles wide. What is the distance between opposite corners of the city? The exact distance is ______________ miles How far is it to the closest tenth of a mile? Answer: The distance is approximately ___________ miles.
Answers
Answer:
√53 ≈ 7.3 miles
Step-by-step explanation:
The Pythagorean theorem can be used to find the length of a diagonal of a rectangle. The diagonal is effectively the hypotenuse of a right triangle with leg lengths equal to the side lengths of the rectangle.
__
If c represents the distance between opposite corners, and 'a' and 'b' represent the length and width of the city, then we have ...
c² = a² +b²
c² = 2² +7² = 53
c = √53 . . . . . exact corner-corner distance in miles
c ≈ 7.3 . . . . . . approximate corner-corner distance
The exact distance is √53 miles; to the nearest tenth, the distance is approximately 7.3 miles.
Chloe performs two transformations on trapezoid ARCD Io prove that it is congruent to trapezoid EFGH. Move phrases to the table to show two transformations that Chloe could perform reflection across a vertical line reflection across a diagonal line clockwise rotation of 90 degrees reflection across a honzontal line clockwise rotation of ISO degrees
Answers
Answer:
Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)
slope of the line that contains (-8,2) , (7,-4)
Answers
Answer:
[tex]\mathsf{slope=-\dfrac25}[/tex]
Step-by-step explanation:
[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]
[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]
Answer:
-2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-2)/(7-(-8))
m=-6/(7+8)
m=-6/15
simplify
m=-2/5
You measure containers for international shipments. The height of the standard container is 6 feet and 7 inches. What is its height in meters?
Answers
Answer:
2.042 meters hope this helps
The height of the container in meters is 2.0066.
What is unitary method ?Unitary method is a mathematical way of first determining the value of a single unit then deriving the given unit from it.
According to the given question containers for international shipments measures 6 feet and 7 inches.
We know 1 feet is 12 inches.
∴ 6 feet is (12 × 6) = 72 inches.
So, 6 feet 7 inches is (72 + 7) inches which is 79 inches.
We know 1 inches is 0.0254 meter.
∴ 79 inches is ( 79 × 0.0254 ) meter which is
= 2.0066 meters.
learn more about unitary method here :
https://brainly.com/question/21648365
#SPJ2
1
Ramsey has 16 books to read for AR.
1/8 of the books are biographies.
1/4 of the books are fantasy.
The remaining books are adventure books.
How many of the AR books are adventure
books?
Answers
Answer:
10
Step-by-step explanation:
1/8 of 16 is 2
1/4 of 16 is 4
2+4=6
16-6=10