Given the following two equations determine if they are parallel, perpendicular, or neither.
3x + 6y = 30
4y + 2x = 9
Please show work!
Answer:
Parallel
Step-by-step explanation:
What you want to do first is to put both equations into the slope intercept form: y=mx+b.
In the first equation, you move the [tex]3x[/tex] to the right side of the equal sign by subtracting on both sides:
[tex]6y = -3x + 30[/tex]
Then you want to divide both sides by 6 to isolate y:
[tex]y = -\frac{1}{2}x + 5[/tex]
Next for the second equation, you do similar steps. You subtract [tex]2x[/tex] from both sides:
[tex]4y=-2x+9[/tex]
Then you want to divide both sides by '4' to isolate y:
[tex]y= -\frac{1}{2}x+\frac{9}{4}[/tex]
Now to check if the two equations are parallel, perpendicular, or neither, you compare the slopes 'm' which is the coefficient next 'x'. If two equations have the same slope, then they are parallel. If the slopes multiplied equal -1, then they are perpendicular. If the slopes are not the same or if the product of the slopes is not -1, then it is neither.
In the case of this problem, the slopes are the same, so the equations are parallel:
[tex]-\frac{1}{2} = -\frac{1}{2}[/tex]
Give answer please
Water bottles are sold in cases of 24. Select the TWO expressions that can represent the total number of water bottles in c cases
Options:
24 X c,
24 ÷ c,
24 + c,
24 - c,
24c
Answer:
24c
Step-by-step explanation:
First off, we know what in each case there are 24 bottles. So if we have c crates and want to know the water bottles inside them, we need to multiply 24 by c resulting in 24c or 24 x c.
Fast I will give brainlist The total number of seats in a movie theater is calculated by adding the area of the upper section given by 8x? and the area of the
lower section given by 6x2. The theater plans to add an addition of front row seats given by 4x for a total of 138 seats. Which
equation could be used to solve for the number of seats in the front row addition?
A
8x2 + 6x2 + 4x = 138
BY
8x2 + 6x2 - 4x = 138
8x2 - 6x2 + 4x = 138
D)
8x2 - 6x2 - 4x = 138
Answer:
(888)
Step-by-step explanation:
okay u stupi if u ont kno jkjk i ont kno byee
Help, will give brainliest if correct!!!
A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph.
How long does it take each animal to run to the second jungle?
Answer:
cheetah, 3 hours antelope, 5 lion, 6 elephant, 10
Step-by-step explanation:
The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
What is speed?Speed is a scalar quantity that refers to how fast an object is moving.
Given are the speeds of different animals,
Cheetah = 50 mph
Antelope = 30 mph
Lion = 25 mph
Elephant = 15 mph
Speed = distance/time.
Time = distance/speed
Distance = 150 miles
Time taken by each :
Cheetah = 150/50 = 3 hours
Antelope = 150/30 = 5 hours
Lion = 150/25 = 6 hours
Elephant = 150/15 = 10 hours
Hence, The time taken by each animal to reach another jungle are:
Cheetah = 3 hours
Antelope = 5 hours
Lion = 6 hours
Elephant = 10 hours
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On a class trip to the aquarium, there is 1 adult for every 7 students. If 44 students go on the field trip, how many adults are going on the field trip?
Answer:
There would be at least 6 adults
Step-by-step explanation:
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
7 students-1 adult
2 students-0 adults
Can someone answer this quickly please
Answer:
3/x
Step-by-step explanation:
it just is
(5x + 4) + (-8x - 2)
Answer:
-3x + 2
Step-by-step explanation:
(5x + 4) + (-8x - 2)
= 5x + 4 -8x - 2
combine like terms
-3x + 2
If the Constant of Proportionality between X and Y is 12, which equation represents their relationship?
Answer:
y=12x 12=k k=constant of Proportionality
Step-by-step explanation:
how to write four hundred ten thousandth in decimal form.
maybe
0.000014??
(Probably wrong but that's my guess)
The value, Four hundred ten thousandth, which is the fraction 410/1000 in decimal form is; 0.41
How to convert between fractions to decimals?The conversion of fractions to decimal can be performed by using division, by dividing the numerator (the top number) by the denominator (the bottom number).
The number "our hundred and ten thousandth" can be presented in decimal form by expressing it as a fraction, and then convert to decimal.
"Four hundred ten thousandth" means "four hundred ten divided by one thousand", which can be written as the fraction 410/1000
The fraction can be converted to a decimal by dividing the numerator (410) by the denominator (1,000), and we get; 410/1,000 = 0.41 as the decimal representation of "four hundred ten thousandth".
Therefore, four hundred ten thousandth in decimal form is 0.41
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Which is the constant of proportionality for the relationship shown in the table?
Answer:
b
Step-by-step explanation:
Solve for y x = 3y - 24
Answer:
y = 1/3x + 8
Step-by-step explanation:
Step 1:
x = 3y - 24 Equation
Step 2:
x + 24 = 3y Add 24 on both sides
Step 3:
1/3x + 8 = y Divide
Answer:
y = 1/3x + 8
Hope This Helps :)
Place the following numbers from least to greatest.
4.14, 3.24, 3.14, 4.24
Anna spent $2.75 at the school store. She bought two erasers and some pencils. How many pencils did she buy? Write and Solve an equation. If needed, use P to represent the number of pencils, and E to represent the number of Erasers. (This is for Multi-step Linear Equations)
Answer:
How much per a pencil and eraser? I'll help you out from there :)
A car sold from a dealership is 25,700 if the sales person receives 1.5% commission on the price of the car how much commission is made on average per car sold
Answer:
385.50
Step-by-step explanation:
Help me please I am begging y’all
There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon.
How many milliliters are in 3 gallons?
Label your answer in mL.
Answer:
11355mL
Step-by-step explanation:
It gives you how many milliliters are in one gallon. From there it gives extra information that isn't needed so you skip it and go to the question which is the amount of mL in 3 gallons. So you take the amount from the first sentence (3,785 mL) and multiply it by the amount that they ask in th equestion (3 gal) .
3785*3= 11355
Write 4,275,000,000 in scientific notation
Answer:
4.275 x 10^9
Step-by-step explanation:
jus do it
Answer:
4.275x10bto the 9th power
Step-by-step explanation:
Please give me the correct answer.
Answer:
33
Step-by-step explanation:
А
y
B 4
D
In the pre-image of the parallelogram, the slope of AD is
-3 and the slope of BC is -3. The image is translated
down 7 units and then reflected over the y-axis.
The slope of A"D" is
The slope of B"C" is
What can you determine about the line segments A"D"
and B"C"?
21
С
4
16
2.
A
A"
-2
B
B"
D
D"
C C
Answer:The slope of A"D" is 3
The slope of B"C" is 3
What can you determine about the line segments A"D" and B"C"?
They are parallel.
something divided by -7 that gives -4 PLEASE I NEED HEEELP
Answer:
28
Step-by-step explanation:
Just do -4 multiplied by -7 which is 28
When divided it gives you -4
Answer:
just look it up
Step-by-step explanation:
Safari, Ask what u need too, and that is it
2. Use the Pythagorean theorem to find the missing side of the following right triangles.
Round to the nearest tenth if needed.
2
B
a = 9
C
b = 12
Answer:
Pythagorean theorem which is a²+b²=c2
9²+12²=c²
225=c2
c=√225
c=15
At a catered wedding, there are 2 options for the first course, 6 options for the main course, and 3 options for
dinner. How many meals are possible?
A.11
B.64
C.18
D.36
Answer:
A. 11
1 course = 1 meal
Step-by-step explanation:
A taxi ride costs $4, plus an additional $3 per mile (X). You paid the taxi driver $16 after riding in the taxi for x
number of miles. How many miles did you ride in the taxi?
Help please
Answer:
4 miles
Step-by-step explanation:
Answer:
4 miles
Step-by-step explanation:
4 + 3x = 16 16 - 4 = 12 / 3 = 4
Which could be the function graphed below?
х
Answer:
Step-by-step explanation:
D: f(x)= √x+4
I took the review and this is the answer on Enginuity.
helpppp it’s my friends birthday
Factor the linear expression 50x-30
Answer:
10 (5x−3)
Hope this helps!
3/8 + 7 1/2 =?
In simplest form
Answer:
63/8
Step-by-step explanation:
3/8+ 7 1/2 = 3/8+ 15/2= 3/8+60/8= 63/8
Answer: I think it’s 7 5/8 I’m not sure
Step-by-step explanation:
the tax on a purchase of $20 is 1.12. how much will tax be on a purchase of $45.50
Answer:
$ 1,593.75
Step-by-step explanation:
this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D
WILL GIVE BRAINLIEST!! Rhombus ABCD has perimeter 148, and one of its diagonals has length 24. How long is the other diagonal?
The measure of the other diagonal of the Rhombus ABCD will be 35 units.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Rhombus ABCD has a perimeter of 148. Then the length of each side of the rhombus is calculated as,
P = 4a
148 = 4a
a = 37 units
And one of its diagonals has a length of 24. Then the length of the other diagonal is given as,
(37)² = (d / 2)² + (24 / 2)²
1369 = d² / 4 + 144
d² = 1225
d = 35 units
The measure of the other diagonal of the Rhombus ABCD will be 35 units.
More about the Pythagoras theorem link is given below.
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Given that 8x−5y=24
Find y when x=−6
Give your answer as an improper fraction in its simplest form.
Answer:
y = - [tex]\frac{72}{5}[/tex]
Step-by-step explanation:
Plug x = -6 into the given equation : 8(-6)−5y=24Multiply the numbers: -48 - 5y = 24Move the constant to the right-hand side and change its sign: -5y = 24 +48Add the numbers: -5y = 72Divied both sides of the equation by -5 : y = - [tex]\frac{72}{5}[/tex]