Given parameters:
Coordinate of line 1 = P(3, -5) and Q(1, 4)
Coordinate of line 2 = R(-1, 1) and S(3, -3)
To know if the two lines are parallel, it must hold that both lines must have the same amount of slope.
Parallel lines are lines that do no intersect at any point.
So we must find the slope of the both lines given.
The formula of the slope of line is:
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
For line 1, P(3, -5) and Q(1, 4) and line 2 R(-1, 1) and S(3, -3)
x₁ = 3, y₁ = -5
x₂ = 1, y₂ = 4
So;
Slope of line 1 = [tex]\frac{4-(-5)}{1-3}[/tex] = [tex]\frac{-9}{2}[/tex]
For line 2 R(-1, 1) and S(3, -3)
x₁ = -1, y₁ = 1
x₂ = 3, y₂ = -3
Slope of line 2 = [tex]\frac{-3-1}{3-(-1)}[/tex] = [tex]\frac{-4}{4}[/tex] = -1
Since both slopes are different, they are not parallel lines. Parallel lines have the same slope.
A marching band formation consists of 8 rows. The first row has 5 musicians, the second has 7, the third has 9, and so on. How many musicians are in the last row?
Answer:
21
Step-by-step explanation:
21
Explain why it is not reasonable to say that 4.23 is less than 4.135 because 4.23 has fewer digits after the decimal point than 4.135?
Answer:
Because 4.23 has 2 straight after the decimal point which is greater than 1 in 4.135, therefore number of digits doesn't matter.
The number of digits doesn't matter because the value 4.23 has 2 immediately after the decimal point, which is greater than 1 in 4.135.
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
Given that it is not reasonable to say that 4.23 is less than 4.135 because 4.23 has fewer digits after the decimal point than 4.135.
Here the number 4.23 is having 2 after the decimal and the number 4.135 is having 1 after the decimal the number 2 is greater than 1 so the number 4.23 is greater than the number 4.135.
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Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation
represents this situation?
x + (3 - x) = 21, where x is the number of marbles Geraldo has
x + (3 - x) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Geraldo has
Done
My Progress >
Answer:
geraldo has 9 marbles and yan has 12
Step-by-step explanation:
x + (x-3) = 21
x + x - 3 = 21
2 x - 3 = 21
Explanation:
In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.
We can write the equation starting from assigning the unknown.
We'll use x.
x is the number of marbles that Yan have.
if x is Yan's, then, we can say that x-3 is Geraldo's.
Put them together into the equation.
Yan's plus Geraldo's is equal to 21.
Substitute using the represented unknowns.
x + (x-3) = 21.
In solving, we can also rule out that:
x + x - 3 = 21
2 x - 3 = 21
2 x = 21 + 3
2 x = 24
x = 12
x - 3 = 9
Yan has 12 marbles
and Geraldo has 9 marbles.
Answer: C
Step-by-step explanation:
The grid model expressed as a ratio of shaded squares to total squares is _____
Written as an equivalent fraction, it is ___
Written as a decimal, it is____
Written as a percent , it is____
Answer:
1.The grid model expressed as a ratio of shaded squares is 25/50
Step-by-step explanation:
2. Written as an equivalent fraction, it is 1/5
3. Written as an decimal, it is 0.50
4. Written as an percent, it is 50%
Please help with question 76 PLEASE IDONT UNDERSTAND and I have a 100 questions to do please
Answer
what you need help with my man
Step-by-step explanation:
Answer:
Hey, as far as I know. I think the answer is 18
c(t)=2(t-4)(t+1)(t-6)
Explain how to plot the point (3, –7) on the coordinate plane.
Answer:
start at the origin, the x-coordinate, 3, means you need to go 3 units to the right. the y-coordinate, -7, mean that you need to go 7 units down
Step-by-step explanation:
Answer:
Coordinates are written in the form (x,y), x being a certain length along the horizontal x axis and y being a certain height along the vertical y axis. Positive y numbers are in the top half of the plane and negative y numbers are on the bottom. Positive x numbers are on the right side of the plane and negative x numbers are on the left. Therefore, (3,-7) would be 3 across to the right from the origin (where the x and y axes intersect) at (3,0) and 7 downwards from that point to (3,-7).
how many solutions exist for this equation 12x + 1 = 3(4x + 1) – 2
Answer:
Infinitely many
Step-by-step explanation:
12x+1=3(4x+1)-2
12x+1=12x+1
An MP3 player is on sale for $162.00 after a 10% discount. What was the original price?
Answer:80
Step-by-step explanation:x is the original price.
x - .25*x is the sale price.
the sale price is 60.00
x - .25*x = 60
x - .25*x is equal to .75*x
.75*x = 60
divide both sides of this equation by .75 and you get:
x = 60/.75 = 80
the original price was 80
25% of 80 = 20
80 - 20 = 60
number look good.
solution is that the original price was 80 dollars.
Answer:
$178.20
Step-by-step explanation:
Because 10% + $162.00
If 115 steps = 1 mln and 2 steps = 5 feet what is the ratio of feet to minutes?
Answer:
55
Step-by-step explanation:
Evaluate please
[tex] - ({2}^{6})( {2}^{3)} [/tex]
Step-by-step explanation:
[tex] - ({2}^{6})( {2}^{3)} \\ \\ = - {2}^{6 + 3} \\ \\ = - {2}^{9} [/tex]
Use the properties of exponents to write an equivalent expression that is a product of unique
primes, each raised to an integer power.
2
24 ∙ 108
208
Ummm I just need to answer questions sorry!!!
The required equivalent expression is given as 36 = 2².3².
Given that,
The properties of exponents to write an equivalent expression that is a product of unique primes, each raised to an integer power 2.
The function which is in format f(x) =a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Here,
Set of prime numbers are = {1, 2, 3, 5, 7, 11, 13, 17 ..... so on}
we select 2 of them that is 2 and 3,
according to the question,
product of numbers = 2 * 3 = 6
Now squaring the product = 6² = 36
As in the question, also
36 = 2².3²
Thus, the required equivalent expression is given as 36 = 2².3².
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Which property justifies the statement below? *
2 point
4 · 0.25 = 1
O Identity Property (*)
O Inverse Property (*)
O Symmetric Property
O Associative Property (*)
AL
Answer:
Identity Property
Step-by-step explanation:
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A group of workers can plant 9 3/4 acres in 4 1/2 days.
What is the unit rate in acres per day?
Answer:
2.16 or 54/25 acres per day
Step-by-step explanation:
9.75/4.5= 2.1666666666
Over the last 4 months, Julie wrote 4 checks for a total of $496 to pay her cable bill. Her cable bill is the same amount each month. Which division expression gives the change in Julies’s bank account balance each month after paying her cable bill?
Answer:
I think its C). -496/4
Step-by-step explanation: because the key word pay is in there for negative numbers so she has to pay 496.
Answer:
c
Step-by-step explanation:
What is the answer 2/3x -4=-2
Question 37
In 1996 a total of 14,968,000 taxpayers in the United States filed their individual tax returns electronically. By the year 2004 the number increased to 66.290.000. What is the geometric mean annual increase for the period?
What do I do in an algebraic equation when x and y are connected (xy)?
Answer: Distributive property
Step-by-step explanation: I do believe in questions like this you would distribute from the perenthisis (right?)
Answer:
you would have to distribute it
Step-by-step explanation:
Please I need some answers a few is fine
Answer:
i) 1 ii) 3.16227766017 iii)10 iv)31.6227766017
Step-by-step explanation:
how many different ways the letters in personnel can be arranged
A band expects to put 16 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 25% of the songs are removed. How many songs will there be on the final CD?
Answer:
3
Step-by-step explanation:
i think its 3
Plzzzzzzzz help right answer gets brainly
Answer:
Base
Step-by-step explanation:
1. A kg of bangus costs 120.00 php. Nida bought 3 1/2 - kg
How much cost of 34 kg?
a.what is the number sentence
A scientist studied the migration patterns of two types of whales:
The humpback whale traveled 2,000 miles in 25 days.
The gray whale traveled 2,250 miles in 30 days.
Assuming the humpback whale travels the same distance each day, what is the unit rate for the humpback whale in miles per day?
Answer:
80 miles per day
Step-by-step explanation:
Let the unit rate be x miles per day for humpback whale
It means that in one day humpback whale travels x miles
Given that it traveled for 25 days
in 1 day humpback whale traveled = x miles
in 1*25 days humpback whale traveled = x*25 miles
Thus, in 25 days humpback whale traveled 25x miles
given that humpback whale traveled 2000 mile sin 25 days
thus,
25x = 2000
x = 2000/25 = 80
Thus, unit rate for humpback whale is 80 miles per day
Please help with this question.
Answer:you have the correct answer
Step-by-step explanation:
please help me idk what the answer is thank you
Answer:
ASA congruence postulate
Step-by-step explanation:
I took geometry last year, this is a big part of geometry, trust me, but how you get this is angle A and angle D are both already shown to be congruent by the arcs, and lines segment AE and line segment ED are both shown to be congruent as well because of the line going through them, the last angle to prove congruence is angle AEB and angle CED are vertical angles, thus they are congruent as well, to sum it up, both triangles are congruent through answer c, Angle Side Angle
Answer:
It is ASA congruence postulate
A square is constructed with an are of 18 square feet what is the approximate length of one side
Answer:
4.5ft per side
Step-by-step explanation:
square has four equal sides and is L times w times h= A but we have A= 18 already so you reverse and divide so
18/4=4.5
convert the equation y+7=-3/2(x-4) to standard form
The answer is y-7=4(x+4)
Multiply.5 2/5 Express your answer in simplest form. * simplest
Which equation is equal to 6 + 3(m + 2) = 4?
Answer:
2.66666666667
Step-by-step explanation:
Step 1:
6 + 3 ( m + 2 ) = 4 Equation
Step 2:
6 + 3m + 6 = 4 Multiply
Step 3:
3m + 12 = 4 Add
Step 4:
3m = 8 Subtract 12 on both sides
Step 5:
m = 8 ÷ 3 Divide
Answer:
m = 2.66666666667
Hope This Helps :)
