Parallel Lines never intersect
because...
Step-by-step explanation:
Well, they don't intersect because that's how they're defined. If they were to intersect then they wouldn't be considered parallel lines.
Parallel lines never intersect because they are always equidistant from each other, meaning they maintain the same distance apart at every point along their length.
What are parallel lines?If the two original lines are parallel, then these two angles must be equal, since they are corresponding angles. However, if we extend the third line far enough, the angles will eventually add up to more than 180 degrees, which is impossible in a Euclidean plane. Therefore, the third line cannot intersect the two parallel lines, and they will never meet.
Consider two lines in a two-dimensional plane. If they are parallel, they will never cross each other no matter how far they extend. Imagine drawing a third line that intersects both of them at some point. This will create two angles where the two lines meet the third line, forming a triangle.
This property of parallel lines has many practical applications in fields such as engineering, architecture, and mathematics, where parallel lines are used to create accurate drawings and models of structures and systems.
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Which system of inequalities has no solution?
A. y < 2x − 4
y > 2x + 1
B. 2x + y ≥ 3
y ≥ −2x − 3
C. 4x + 4y < 16
x > y + 16
D. y < −6x −24
y < 6x + 6
Part B
Select all the possible ways that you could change the system so it has a solution.
A. Change the direction of the inequalities.
B. Decrease the coefficient of x in the first equation.
C. Increase the coefficient of x in the first equation.
D. Increase the coefficient of x in the second equation.
E. Decrease the coefficient of x in the second equation.
Answer:
Part 1: A
Part 2: BCDE
Step-by-step explanation:
For part 2, I'm assuming that the change of direction is for both of the inequalities.
If you want calculator for graphing, use desmos graphing calculator.
Write an equation of the line that passes through the points (0,4) and (2,10).
Answer:
First you find the slope:
(10-4)/2 = 6/2 = 3
Then you write a point-slope equation:
y-4=3x
in slope-intercept form:
y=3x+4
Answer:
The equation of the line is y = 3x + 4.
Step-by-step explanation:
First find the slope of the line:
Slope (m) = rise / run
= difference in y coordinates / difference in corresponding x coordinates
= (10-4) / (2 - 0)
= 6/2
= 3..
The line is written as
y = m x + b
We have just found m (= 3). Now we find the value of b by substituting the point (0, 4) into this equation.
4 = 3(0) + b
b = 4.
So the required equation is y = 3x + 4.
Find the slope of the line through the points (4, -1) and (-2, -1).
To find the slope (m), use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] And plug in the two points
(-2, -1) = (x₁, y₁)
(4, -1) = (x₂, y₂)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-1-(-1)}{4-(-2)}[/tex] (two negative signs cancel each other out and become positive)
[tex]m=\frac{-1+1}{4+2}[/tex]
[tex]m=\frac{0}{2}[/tex]
m = 0
Answer:
The slope is 0.
Step-by-step explanation:
18. Octavio got a job at Subway. He makes $14 per hour. On Saturday he worked 8 hours, on Monday he worked 6
hours and on Thursday he worked 5 hours. He borrowed $95 dollars from Antonio to buy tickets to a concert. How
much money did he have left from his paycheck (before taxes) after paying back Antonio?
steps ?
Answer:$171
Step-by-step explanation:
8*14= 112
6*14=+84
5*14=+70
=266
-95
= 171
You drove 500 miles in 6 hours. Should you get a speeding ticket if the speed limit is 70 mph
Answer:
Yes, because you'd be going about 83 miles per hour.
Step-by-step explanation:
500 divided by 56
= 83.333
Factor the quadratic expression 4x^2-8x+3
Answer: (2x-1) (2x-3)
Step-by-step explanation:
f(x)=0.2(x-2)(x+1)(x-5) determine end behavior
Answer:
Step-by-step explanation:
Identify the type of function.
y = (x-5)(x-2)
Answer:
Quadratic
Step-by-step explanation:
a driveway measuring 140 square feet is to be paved. Harry has an apprentice working for him and divides the job between the two of them so that the area he paved divided by the area his apprentice paved equals 3. find x, the area harry will pave
Answer:
Step-by-step explanation:
Th e answer would be 180
The area that Harry will pace 105 ft.²
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
If the area he paces divided by the area his apprentice paces equals three, then we can write it as;
J/a = 3
In ratio form,
J : a = 3 : 1
Where J. represent Harry and. a represent the apprentice. Hence,
Therefore, the area Harry will pace;
= ( 3/4) × 140 ft.²
= 105 ft.²
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The school cafeteria has 19 round tables and 13 rectangular tables. Each round table has 3 chairs, and each rectangular table has 7 chairs. How many chairs are there in all?
WILLL GIVE BRAINLIST!!!
Answer:
148
Step-by-step explanation:
19 round tables
13 rectangular tables
19 x 3 = 57
13 x 7 = 91
57 + 91 = 148
Answer:
[tex]148 \: \: chairs[/tex]
Step-by-step explanation:
[tex]19 \times 3 = \: \: \: \: \: \: 57 \\ 13 \times 7 = + 91 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 148[/tex]
A dog is leashed to the corner of a house. How much running area does the dog have? Round your answer to the nearest square foot, If necessary.
The sum of the 8th element and the 12th element of an arithmetic progression
is 246. The sum of the 10th and the 14th element is 298. What is the value of
the 35th term?
Answer:
448
Step-by-step explanation:
aₙ = a₁ + (n-1)d
a₈ = a₁ + (8-1)d = a₁ + 7d
a₁₂ = a₁ + 11d
a₈ + a₁₂ = 246 = 2a₁ + 18d a₁ + 9d = 123
a₁₀ + a₁₄ = a₁ + 9d + a₁ + 13d = 298 a₁ + 11d = 149
2d = 26
d = 13
a₁ = 6
a₃₅ = 6 + (35-1) x 13 = 448
2.0% of the mass of a 150g apple is sugar.
How much sugar is contained in I apple
The apple, weighing 150g, contains 2.0% sugar by mass. Calculating this percentage, we find out that the apple contains 3.0g of sugar.
Explanation:To find out how much sugar is contained in a 150g apple, where 2.0% of its mass is sugar, we use simple percentage calculations. We know that 1% of 150g is 1.5g (150/100), so 2.0% of 150g would be 2 times 1.5g, which comes to 3.0g. Thus, the apple contains 3.0g of sugar.
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2 Points
What is sin 60°
Answer:
As in Decimal: 0.86602540378
Angle Tan=Sin/Cos
30° 1 √3 = √3 3
45° 1
60° √3
Step-by-step explanation:
Answer: 0.8660
Step-by-step explanation:
In a right angle triangle
According to the diagram below
Sin60= opposite/hypothenus
Sin60= 1/square root of 2
Sin60= 0.8660
Twenty gremlins and fifteen imps are at the Annual Mischief Convention. The imps have had a lot of in-fighting lately and refuse to shake hands with each other, but they readily shake hands with all of the gremlins. Meanwhile, all the gremlins are quite friendly and shake hands with all of the other gremlins as well as imps. Each pair of creatures shakes hands at most once. How many handshakes were at the convention?
Answer:
490
Step-by-step explanation:
Let us first count the handshakes between two gremlins. There are 20 gremlins, so there must be 20*19/2=190 handshakes between two gremlins, making sure to divide by two to avoid over-counting.
There are 15 imps that shake hands with each of the 20 gremlins, which makes 15* 20 = 300 handshakes between imps and gremlins.
Adding these up, you have $300 + 190 = 490 total handshakes.
Hope this helps!
WILL MARK BRAINLIEST
what does it mean for a point to be a solution to a linear equation?
For example, if I say, (2,5) is a solution to the equation y= 2x+3, how could you check my claim?
y=mx+b
it is pretty simple, the m stays the same and is the x, so (2,_) and then the b is the slope so you add the b and m together to get 5 (2,5)
John has a circular pool that has a radius of 7 feet. What is the area of his pool? Please use the formula sheet to assist you with this question. Question 3 options: 49.6 ft squared 153.86 ft squared 43.96 ft squared 615.44 ft squared
Answer:
153.86 square feet
Step-by-step explanation:
The formula for the area of a circle is A=πr2
area = pi x radius squared
the radius is 7 feet, square that to get 49
multiply 49 by pi to get the area: 153.86 square feet
Answer:
153,86 stóp kwadratowych
Step-by-step explanation:
Select the correct answer. Which rule can you use to find the nth term of an arithmetic sequence in which the common difference is 5 and a12 = 63?
A. `a_(n)=3+5n`
B. `a_(n)=3-5n`
C. `a_(n)=13+5n`
D. `a_(n)=13-5n`
How to solve 17 = x/2 + 1
Answer:
x = 32
Step-by-step explanation:
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
16 / 1/2 = x
16 * 2/1 = x
32 = x
Answer:
x = 32
Step-by-step explanation:
to solve for this expression 17 = x/2 + 1 , we need to collect the like terms and then evaluate for the value of x.
solution
17 = x/2 + 1
17 - 1 = x/2
16 = x/2
using cross multiplication method
x = 16 x 2
x = 32
I need help with this problem plz!!!!
Answer:4 9 2
Step-by-step explanation:
those are the answers
Answer: a) 40 inches
b)9600 in^2
( the 2 goes on top of “in”)
Step-by-step explanation: s= 40 inches
substitute the side length into the formula for the surface area of a cube.
Island Nautical Supply Co. is having a sale on kayaks, 20% off of the regular price. You found a super nice one that is regularly priced at $259.00. How much will it cost after the sale? (Show Work.)
A: $51.80
B: $239.00
C: $207.20
Answer:C
Step-by-step explanation:
Multiply 259 by .2 then subtract that number (51.8) from 259
Answer:
c
Step-by-step explanation:
you will divide 259.00 by 20%
» Leila has 36 photos of her friends. She puts 6 photos on each page
in her scrapbook. How many pages does Leila use?
Answer:
She uses 6 pages because 36/6=6
Step-by-step explanation:
Answer:
Leila uses up 6 pages.
Step-by-step explanation:
What you are supposed to do is division.
36 ÷ 6 = 6
6 on the first page.
6 on the second page.
6 on the third page.
6 on the fourth page.
6 on the fifth page.
6 on the seventh page.
If you add the six 6's you get 36.
6+6+6+6+6+6=36
will give brainiest if answered plz helpp!!!!!
Answer:
umm
Step-by-step explanation:
not sure but copy and paste to google
Heather and Marcus are
training for a marathon. Heather
ran 48.6 miles last week. Marcus
completed 90% as many miles as
Heather. How many miles did
Marcus run?
What is the length of the line segment?
Answer:
A. 8
Step-by-step explanation:
A spinner has 10 equal-sized sections. Two of the sections are red.
a. What is the probability that the spinner will land on red?
b. Use words to describe the probability.
Answer:
a. Probability of landing on red = [tex]\frac{1}{5}[/tex]
b. See Explanation
Step-by-step explanation:
Given
A Spinner
Number of section = 10 (equal sized)
Number of red section = 2
Required
- Probability of landing on red
- Describe the probability in words
Calculating the probability of landing on red
The formula used in calculating probability is as follows
Probability = Number of required outcomes / Number of possible outcomes
In this case, the number of required outcomes is the number of red section.
Hence, number of required outcomes = 2
And the number of possible outcomes is the total section of the spinner
Hence, Number of possible outcomes = 10
By Substitution
Probability of landing on red = [tex]\frac{2}{10}[/tex]
Probability of landing on red = [tex]\frac{1}{5}[/tex]
Describe the probability in words
From (a) above, we have that the probability of the spinner landing on color red is [tex]\frac{1}{5}[/tex]
This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.
A wildlife biologist catches and releases 20 fish from two different lakes at random locations. He catches 10 fish at Lake Palmer and 10 fish at Lake Dalton. He measures the length of each fish to the nearest quarter of an inch. Palmer Dalton First Quartile 6.75 5.5 Second Quartile (Median) 10.25 6.75 Third Quartile 13 7.5 Based on the samples, what generalization can be made? A. Not enough information is provided to draw any of these conclusions. B. The first quartile value at Lake Palmer is 1.25 inches longer than the first quartile value at Lake Dalton. C. The interquartile range for Lake Dalton is 2 inches greater than the interquartile range for Lake Palmer. D. At least 25 percent of the fish in both lakes are no longer than 6 inches
Please put the correct answer, if it's correct i will mark with the crown and give a good rating
Thanks!
Option B is the correct answer, as it correctly states that the first quartile value of fish lengths at Lake Palmer is 1.25 inches longer than that of Lake Dalton.
Explanation:The question provides quartile data for fish lengths caught in two different lakes and asks to generalize the findings based on the provided information. First, let's analyze the provided options:
Option B: Incorrect, because the difference between the first quartiles of Lake Palmer (6.75 inches) and Lake Dalton (5.5 inches) is 1.25 inches, hence true.Option C: Incorrect, because the interquartile range (IQR) for Lake Dalton (7.5 - 5.5 = 2 inches) is not 2 inches greater than the IQR for Lake Palmer (13 - 6.75 = 6.25 inches).Option D: Incorrect because at least 25 percent of the fish in Lake Dalton are no longer than 5.5 inches, and at least 25 percent of the fish in Lake Palmer are no longer than 6.75 inches. Hence, not all fish in both lakes are no longer than 6 inches.Therefore, the correct generalization can be made from Option B. It provides accurate comparison based on the first quartile values of fish lengths in both lakes.
I dont understand this please help
25y−4+7−910y =
The tax rate is 6.8 what is the tax on $9.95
Answer:
6.77, about 68 cents.Step-by-step explanation:Factor in your givens:Tax rate = 6.8%
Total Currency = 9.95
Step 1:
68 / 100 = 0.68
Step 2:
0.68 * 9.95 = 6.766
I hope this helped!