Answers
Answer:
1. y= 2/3x + 4, and y = 2/3x - 1 are parallel
2. y = 1/3x - 3 and y = 2x + 5 are perpendicular
3. y =2/5x +4 and y = 0.2x - 1 are intersecting
4. y = -x + 13 and y = x-14 are perpendicular
Step-by-step explanation:
The equation of lines are solved and parallel lines are
a) y = 2/3x + 4 , y = ( 2/3 )x - 1
Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5
Intersecting lines
a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
y = 2/3x + 4 , y = ( 2/3 )x - 1
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 2/3
So , the slopes of the two lines are same and they are parallel lines
And , y = -( 1/2 )x - 3 , y = 2x + 5
The slopes are negative reciprocals of each other , so they are perpendicular lines
Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
Hence , the equation of line is solved
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Related Questions
- One of a triangles vertices is at Point A (4, -6). This triangle is transformed according
to the notation (x,y) → (x,-y+2)
What will be the coordinate of Point A ?
I need an answer ASAP! Pls help
Answers
The new coordinates of point A would change as follows:
(4, -6) → {4, -(-6) + 2} = (4, 6 + 2) = A' → (4, 8)
The new coordinates for point A are (4, 8).
Which number is greatest?
O 2.89 x 10
O 1.997x102
O 8.9x104
O 5x10
Answers
Answer:
c
Step-by-step explanation:
you just multiply in the calculator
Suppose you have 7 dimes and 6 nickels in your pocket. How many ways can you reach
into your pocket and select 2 dimes?
Answers
Answer:
21 possible ways to select 2 dimes.
Step-by-step explanation:
There are 42 possible ways to select coins, but only 21 to select 2 dimes. I believe this is correct, but you should probably wait for another answer for affirmation.
Answer:
vhhghhhh
jjjj
Step-by-step explanation:
jhhhgggggy
i’m putting my faith in you guys my course ends tommorow
Answers
Answer:
A
Step-by-step explanation:
distribute 3 to 4x+2 --> 12x + 6 = 8x + 24 - 2x
combind like terms --> 12x + 6 = 6x + 24
subtract 6 from both sides --> 12x +6 -6 = 6x + 24 - 6 --> 12x = 6x + 18
subtract 6x from both sides --> 12x - 6x = 6x -6x +18 --> 6x = 18
divide both sides by 6 to get what x equals --> x = 3
5th grade math. Correct answer will be marked brainliest.
Answers
Answer:
The value of n is 0.64
Step-by-step explanation:
10^3 = 1000
640 divided by 10^3 = 0.64
Determine the value of the missing length. ROUND TO THE NEAREST TENTH if needed
А
C = 6
ma
C = 4
С
C = 5.1
D
C = 4.8
Answers
Answer:
C=5.1
Step-by-step explanation:
Using pythag (a²+b²=c²) we can determine c.
1²+5²=26
√26 = 5.099
c=5.1
Karen is training for a marathon. she ran 15 miles in 135 minutes. At this rate, how long will it take Karen to run 25 miles.
Answers
Answer:
225
Step-by-step explanation:
135/15=9x25=225
Just curious what is 52 x 34 - 342
Answers
H b e j l
Answer:
1426
Step-by-step explanation:
52 x 34 = 1768
1768 - 340 = 1426
What is the equation shown in the graph? Explain your answer.
Answers
Which of the following is not equal to -5/6?
a) -(5/6)
b) 5/-6
c) -5/6
d) -(-5/6)
Answers
Classify each triangle by its angles and sides. Equal sides and equal angles, if any, are indicated in each diagram. (Please help)
Answers
Answer:
This is an isosoles triangle because it has two congruent sides, and two congruent angles. Brainliest pls :)
Answer: isosceles triangle
Step-by-step explanation: isosceles triangles have two sides that are the same and two angles that are the same
What is the largest positive integer that would make the
following inequality true?
5x – 3 < 17
Answers
Answer:
3
Step-by-step explanation:
5(3)-3=12 yes
5(4)-4=17 no
3
Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour. Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour. How many hours until they have the same amount of fruit left?
Answers
Answer:
72.1 hours
Step-by-step explanation:
Let the number of hours be represented as: x
Fred's Fruit Stand has 252 pounds of fruit and sells 2 7/8 pounds per hour.
Convert 2 7/8 pounds to decimal = 2.875pounds
Hence:
252 - 2.875x
Gary's grocery Store has 285 pounds of fruit and sells 3 1/3 pounds per hour.
Convert 3 1/3 pounds to decimal = 3.333 pounds
Hence:
285 - 3.333x
How many hours until they have the same amount of fruit left?
This calculated by equating both equation together
252 - 2.875x = 285 - 3.333x
Collect like terms
-2.875x + 3.333x = 285 - 252
0.458x = 33
x = 33 / 0.458
x = 72.052401747 hours
x ≈ 72.1 hours
They would have the same amount of fruit left after 72.1 hours
jason can travel 24 miles in 1/2 hour. What is his average speed in miles per hour
Answers
Answer:
Step-by-step explanation:
If Jason travel 24 miles in 1/2 hour, he will travel 2*24=2*1/2h
48 miles/hour
or
24 miles...............................30 min
? miles in .............................60 min
(60*24)/30=48
The combined weight of three cubes is shown below.
How many pounds would 24 cubes weigh if there are 16 ounces in 1 pound?
Answers
Answer: 6 pounds
Step-by-step explanation:
I’ll give the Brainliest to who answers my question and gives an reasonable explanation.
Thank you.
Answers
Answer:
second line plot
Step-by-step explanation:
It is the second line pot because...
d-4>-3
so what you do is you make it a equation
d-4=-3
you transfer the -4 to the other side by adding it on both sides
d=1
therfore d can 1 and any number above 1
I hope this helped
What is the solution set for -4x - 10 ≤ 2?
x ≤ -3
x ≥ -3
x ≤ 2
x ≥ 2
Answers
X > -3
Hope it helps
If a point is originally located at (2,9) and is translated 4 units to the right and 7 units up, what would its new
coordinates be?
Answers
Given:
The point is (2,9).
It is translated 4 units to the right and 7 units up.
To find:
The coordinates of new point.
Solution:
The point is translated 4 units to the right and 7 units up. So, the rule of translation is
[tex](x,y)\to (x+4,y+7)[/tex]
The point is (2,9). Using the above rule, we get
[tex](2,9)\to (2+4,9+7)[/tex]
[tex](2,9)\to (6,16)[/tex]
Therefore, the coordinates of new points are (6,16).
[50 pts] An even number, n, times the next consecutive number, n + 2, is equal to 168. Find the original number.
Answers
We are given:
An even number 'n', multiplied by the next consecutive even number is 168
Solving for n:
From the given statement, we can say that:
n(n+2) = 168 [n multiplied by the next even number 'n+2']
n² + 2n = 168
n² + 2n - 168 = 0 [subtracting 168 from both sides]
We can see that we now have a quadratic equation, solving using splitting the middle term
n² + 14n - 12n - 168 = 0
n(n + 14) -12(n + 14) = 0 [factoring out common terms]
(n-12)(n+14) = 0
Here, we can divide both sides by either (n-12) OR (n+14)
Checking the result in both the cases:
(n + 14) = 0/(n-12) (n-12) = 0/(n+14)
n + 14 = 0 n - 12 = 0
n = -14 n = 12
Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n
11 + 16 + 4 = ????????????
Answers
Answer:
31! :D
Step-by-step explanation:
(My discord: TheDiamondDuck #9036)
If you want to join you can,
Good luck!!
God Bless!!
~DuffyDuck~
Ben was holding a bake sale to raise money for his field trip. He sold cookies for $2 each, muffins for $1 each, and lemonade for $4 a bottle. If he sold 24 cookies, 13 muffins, and 36 bottles of lemonade, how much money did he raise for his field trip? Explain how you found your answer.
Answers
Answer: he raised $205
Step-by-step explanation:
cookies: $48 (24x2)
muffins: $13 (13x1)
lemonade: 144 (36x4)
144+13+4=$205
Answer:
205
Step-by-step explanation:
COOKIES: 2x24= 48
MUFFINS: 1x13= 13
LEMONADE: 4x36= 144
144+ 48+ 13= 205
written answer:
The answer is 244 i got this answer by mulitplying how much he sold by the prices he sold by.So i multiplied 2x24 for the cookies and got 48, then i multiplied the muffins 1x13 to get 13.Finally i multiplied 4x36 to get 144 after that, i added all the sums up and i got the answer 205. So Ben raised $205 for his feild trip.
h(x)=9−2x and g(x)=f(x)+6.
What equation shows the correct rule for the function g?
g(x)=9+4x
g(x)=15+2x
g(x)=−2x+6
g(x)=15−2x
Answers
Answer:
the answer id g(x)=15-2x.
Answer:
it is g(x)= 15-2x
Step-by-step explanation:
i took the test and got it right
hope this helps
Olivia is a stockbroker. She makes 4% of her sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average the same commission each week, how much would she make in commission in a year, treating a year as having exactly 52 weeks.
Answers
Answer:
i think a is 6912:)
i thin b is 359424:)
Step-by-step explanation:
i'm so sorry if it's wrong <3
The answers for the given problem are as (a) the commission made by Olivia in a week is $288 and (b) the total commission for a year is $14976.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
And to convert a fraction or a decimal into percentage, they are multiplied by 100.
Given that,
The price of stocks sold = $7200.
The commission percentage = 4%.
(a) The commission made by Olivia per week is found as,
4% of 7200
= 4/100 × 7200
= 288
(b) Considering 52 weeks in a year, the commission made by her in a week is given as,
52 × 288
= 14976
Hence, the commision made by her in a week is $288 and the total commission for a year is $14976.
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PLEASE HELP simplify the following expression 4+√-4+√-9+7
Answers
Answer:
your answer simplified is:
13+3i
The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?
3 + 3 StartRoot 2 EndRoot ft
3 + 3 StartRoot 3 EndRoot ft
6 + 3 StartRoot 2 EndRoot ft
6 + 3 StartRoot 3 EndRoot ft
Answers
The perimeter of the isosceles right triangle is P = 6 + 3√2 feet
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the isosceles triangle be represented as ΔABC
In an isosceles right triangle, the two legs are congruent, so if one leg has a length of 3 ft, then the other leg also has a length of 3 ft. Let's call the length of the hypotenuse h.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
h² = 3² + 3²
h² = 18
Taking square roots on both sides , we get
h = 3√2 feet
The perimeter of the triangle is the sum of the lengths of its sides:
Perimeter = 3 + 3 + 3√2 = 6 + 6 + 3√2 feet
Hence , the perimeter is 6 + 3√2 feet
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The tens digit of a two-digit number is 1 less than 3 times the units digit. If the digits are reversed, the new number is 45 less than the original number. Find the number
Answers
Answer:
32 is the
number
Step-by-step explanation:
The correct answer in the box. Linear function g is shown in the graph.
Write the slope-intercept form of the equation representing this function.
Answers
Answer:
this is right on the test
Step-by-step explanation:
Answer:
The correct answer is
g(x)=2x+1
Step-by-step explanation:
I got it right on the Edmentum test.
At a Christmas party,40 people wore a grinch or elf costume. If there were 50 people at the party and 10 were dressed as the grinch, what percent were wearing an elf costume ?
Answers
Answer:
Percent [wearing elf costume] = 60%
Step-by-step explanation:
Given:
Total number of people = 50
Grinch or elf costume = 40
Grinch costume = 10
Find:
Percent [wearing elf costume]
Computation:
Percent [wearing elf costume] = [Grinch or elf costume - Grinch costume] / Total number of people
Percent [wearing elf costume] = [40-10] / 50
Percent [wearing elf costume] = [30] / 50
Percent [wearing elf costume] = 60%
19.If V= V + at, then a=
Answers
Answer:
[tex]a=\frac{V-V_{0}}{t}[/tex]
Step-by-step explanation:
[tex]V = V_{0}+at[/tex] (given)
[tex]at = V-V_{0}[/tex] (minus [tex]V_{0}[/tex] on both sides)
[tex]a = \frac{V-V_{0}}{t}[/tex] (divide [tex]t[/tex] on both sides)
Hope this helps :)
Answer: A
Step-by-step explanation:
what is y intercept?
Answers
Answer:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Step-by-step explanation:
