Are the two lines equations parallel, perpendicular, or neither? 10x+8y=16 5y=4x-15
Answers
Answer: Neither
Step-by-step explanation: if you look at both slopes 10x and 4x they are neither the reciprocal or even remotely close to each other
The two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
The two given equations are 10x+8y=16 and 5y=4x-15 then reduce both the equations in the intercept form of the standard line of the equation.
The standard form of the equation of the line is,
y = mx + c
For the equation: 10x+8y=16
10x + 8y = 16
5x + 4y = 8
4y = -5x + 8
y = (-5/4)x + 2
For the equation: 5y=4x-15
5y = 4x -15
y = ( 4/5 )x - 3
The slope of line 1 is ( -5/4 ) and the slope for line 2 is ( 4/5 ). Here, the slope of the lines is opposite and reciprocal of each other. The lines will be perpendicular to each other.
Therefore, two equations 10x+8y=16 and 5y=4x-15 are perpendicular to each other.
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Related Questions
need help with this question
Answers
Answer:
the number of grain of salt in the packet
5,401.23
Step-by-step explanation:
1 grain .................... 6.48x10^-5 kg salt
x grain.................... 0.35 kg salt
x= 5,401.23
a) The number of grains of salt in the packet are 5.4 x [tex]10^6[/tex] grains. b) The answer in part (a) is unlikely to be the actual number of grains of salt in the packet because the weight of a grain of salt can vary.
a) The number of grains of salt in the packet can be calculated as follows:
number of grains = total weight of salt / weight of one grain
= 0.35 kg / 6.48 x [tex]10^{-5[/tex] kg/grain
= 5.4 x [tex]10^6[/tex] grains
b) The answer in part (a) is unlikely to be the actual number of grains of salt in the packet because the weight of a grain of salt can vary. The average weight of a grain of salt is 6.48 x [tex]10^{-5[/tex] kg, but the actual weight can be anywhere from 6.2 x [tex]10^{-5[/tex] kg to 6.7 x [tex]10^{-5[/tex] kg. This means that the actual number of grains of salt in the packet could be anywhere from 5.2 x [tex]10^6[/tex] grains to 5.6 x [tex]10^6[/tex] grains.
In addition, the density of salt can also vary slightly, which would also affect the number of grains of salt in the packet.
Therefore, the answer in part (a) is only an estimate of the actual number of grains of salt in the packet.
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Identify the value of the 4 in the number : 45,348
Answers
Answer:
I wasn't sure which 4 you were talking about, but I hope this helps! xx
Step-by-step explanation:
4- hundred-thousands
5- ten-thousands
3- thousands
4- hundreds
8- tens
The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post office. Write an expression to represent the area of the new post office?
Answers
Answer:
[tex]Area = 6.5p[/tex]
Step-by-step explanation:
Given
[tex]Area\ of\ Old = p[/tex]
[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]
Required
Write an expression for the area of new post office
From the question, we have the following:
[tex]Area\ of\ Old = p[/tex]
and
[tex]Area\ of\ New = 6.5 * Area\ of\ Old[/tex]
Substitute p for Area of Old in the second equation
[tex]Area\ of\ New = 6.5 * p[/tex]
[tex]Area\ of\ New = 6.5 p[/tex]
Hence, the expression is:
[tex]Area = 6.5p[/tex]
What is the inverse function F(x)=-1/2(x+3)?
Answers
f(x)=-1/2(x+3)
y=-1/2(x+3)
x=-1/2(y+3)
-1/2(y+3)=x
-1/2y-3/2=x
-y-3=2x
-y=2x+3
y=-2x-3
f^-1(x)=-2x-3
The inverse of the function f(x) is
[tex]f^{-1}[/tex] (x) = 2x - 3
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 1/2 (x + 3)
Put f(x) = y
y = 1/2 (x + 3)
Replace y and x.
x = 1/2 (y + 3)
Find y.
2x = y + 3
y = 2x - 3
This means,
[tex]f^{-1}[/tex] (x) = 2x - 3
Thus,
The inverse of f(x) is 2x - 3.
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A train leaves the station at time t0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours. Write a function that relates the distance traveled d to the time t
Answers
Answer:
d=120t
Step-by-step explanation:
i dont have an explanation for this i just got it wrong and im giving you the answer hope this helps also you have to put it in exactly like this
d = 120t
^^^^^^^^
The function that relates the distance traveled d to the time t is (d = 120t) and this can be determined by using the formula of speed.
Given :
A train leaves the station at time t0. Traveling at a constant speed, the train travels 360 kilometers in 3 hours.The following steps can be used in order to determine the function that relates the distance traveled d to the time t:
Step 1 - The formula of speed can be used in order to determine the function that relates the distance traveled d to the time t.
Step 2 - The speed formula is given below:
[tex]\rm s = \dfrac{d}{t}[/tex]
where distance is 'd' and time is 't'.
Step 3 - Now, substitute the values of d = 360 and t = 3 in the above formula.
[tex]\rm s = \dfrac{360}{3}[/tex]
s = 120 km/hr
Step 4 - Now, at time 't' the distance is given by:
[tex]120=\dfrac{d}{t}[/tex]
d = 120t
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An airport shuttle service charges $15 plus $1.15 per mile. An equation is written as y=mx+b, where y is the cost for x miles.
Answers
Answer: See explanation
Step-by-step explanation:
You didn't really say what you need to calculate but let me try to help out.
From the question, we are informed that an airport shuttle service charges $15 plus $1.15 per mile and that an equation is written as y=mx+b, where y is the cost for x miles.
The equation can be expressed as:
y = 15 + 1.15x
where,
15 = y intercept and this is the initial fixed cost
1.15 = slope and this is the cost per mile
x = number of miles
Find three consecutive odd integers such that when the third is subtracted from five times
the sum of the first and second, the result is 798 more than the first.
Answers
9514 1404 393
Answer:
99, 101, 103
Step-by-step explanation:
Let x represent the smallest. Then the sum of the first two is (x+x+2) and the third is x+4. The problem statement tells us the relation ...
5(2x +2) -(x +4) = x +798
10x +10 -x -4 = x +798
8x = 792
x = 99
The integers are 99, 101, 103.
__
Check
5(99 +101) -103 = 99 +798
897 = 897 . . . . answer checks OK
Divide. Reduce the answer to lowest terms.
3/7 ÷ 1 1/6
Answers
9514 1404 393
Answer:
18/49
Step-by-step explanation:
Invert and multiply:
3/7 ÷ 1 1/6 = (3/7) ÷ (7/6)
= (3/7)×(6/7) = (3×6)/(7×7)
= 18/49
Answer:
Step-by-step explanation:
3/7 / 7/6
3/7 x 6/7= 18/49
PLEASE HELP ME ! ! ! ! :(
Answers
The slope would be -3/1.
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total cost, C, to the number of gallons of gas purchased, g.
Answers
Answer:
2.75g=c
Step-by-step explanation:
not quite sure what your asking, but this is my best answer you take the 2.75 base cost, add the variable G for the gallons purchased which gives you 2.75g which in the end would give you the total cost (C) giving you the equation 2.75g=c
if this isnt what you were asking id be happy to help if you elaborate more or post the exact question your needing help on
HELP ASAP TIMED! GIVING BRAINLIEST
Answers
Answer:
4680
Step-by-step explanation:
65% of 7200 is 4680
Answer:
4680
Step-by-step explanation:
65% of 7200 is 4680
Marks football team has scored about 24 points each game. They played 12 games this season. What is the best estimate for the total numbers of points they scored in the season?
Answers
Answer:
About 300 Points
Step-by-step explanation:
24x12=288
288 rounded up is 300
Arianna correctly simplified an expression. When she substituted x=2 into the simplified expression, the value was –4. Which could be Arianna’s original expression? One-sixth (negative 3 x minus 24)
One-sixth (negative 5 x minus 8)
One-sixth (negative 10 x minus 4)
One-sixth (negative 12 x minus 16)
Answers
Answer:
Step-by-step explanation: 1/6(-10x-4) or C
Answer: C
Step-by-step explanation:
Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years
Answers
Answer:
each year james gets 3% more interest than maya. over 4 years james gets 34% interest and maya gets 20%. over 4 years james gets 16% more than maya.
What is the slope of the line that passes through the points (-4,2) and (2,-1)
Answers
Answer:
1/-2 is the slope
Step-by-step explanation:
[tex]\frac{2-(-1)}{-4-2} = \frac{2+1}{-4-2} = \frac{3}{-6} = \frac{1}{-2}[/tex]
Answer:
-1/2
Step-by-step explanation:
find the difference btwn the second and first y coords.
-1 - 2 = -3
find the difference between second and first x coords.
2 - -4 = 6
-3/6 simplifies to -1/2
If two triangles are congruent, which of the following statements must be
true? Check all that apply.
Answers
Answer:
A, C, D are true.
Step-by-step explanation:
Answer: A,B,C,D
Step-by-step explanation:
ALL ARE TRUE I JUST TOOK THE TEST A P E X
4 Ted finished 1/8 of his homework this
morning and 3/4this afternoon. How
much homework does Ted have left?
Answers
Answer:
6 /1
Step-by-step explanation:
1/8+3/4= 24/4 = 6 or 6/1
Ricky is solving a multiplication problem where both terms include decimal values. The first term has 4 digits after the decimal. The second term has 5 digits after the decimal. The product will have how many digits after the decimal?
Answers
Answer:
9 digits
Step-by-step explanation:
when doing multiplication with decimals the amount of digits after the decimal in the final product will be the sum of the amounts of digits after the decimal in the two numbers being multiplied together
For example, If you were to multiply 6.789 by 10.321 the answer would be 70.069269. There are six digits after the decimal because the numbers being multiplied each have three digits after their decimals
(If that makes sense. If not, I'm sorry)
Which of the following equations is equivalent to 4(a + 2) – 2(a – 8) = 24?
Answers
Answer:
Step-by-step explanation:
4a + 8 - 2a + 16 = 24
Solving like terms
2a + 24 = 24
2a = 24 - 24
2a = 0
Answer: 2a+24=24
Step-by-step explanation: How to get the CORRECT answer:
4(a+2)-2(a-8)
4a + 8 - 2 (a-8)
4a + 8 - 2a + 16
2a + 8 + 16
2a + 24
Final Answer: 2a + 24
I also got it correct on my test, hope this helps :)
(4y + 5) + (-7y - 1)
Answers
Answer:
-3y+4
Step-by-step explanation:
(4y + 5) + (-7y - 1)=
4y-7y+5-1=
-3y+4
PLZZZZ HELPPPPPP THIS IS TIMEDDDD!!!! *look at picture*
A person and a building cast a shadow at the same time of day. The person is 5.8 feet tall in case the shadow of 3.2 feet. The building cast a shadow of 28 feet.
Find the height of the building.
round your answer to the nearest 10th of a foot.
Answers
Answer:
Height of the building = 50.8 ft
Step-by-step explanation:
A person and a building are casting the shadows at the same time of the day.
Triangles formed by the person and his shadow and the building and its shadow will be similar.
Therefore, corresponding sides of the similar triangles will be proportional.
[tex]\frac{x}{28}=\frac{5.8}{3.2}[/tex]
x = [tex]\frac{5.8\times 28}{3.2}[/tex]
x = 50.75
x ≈ 50.8 ft
Answer:
50.8 feet is correct
Step-by-step explanation:
test says so
3. Evaluate the expression. (1 point) 6(x+7) for x=9
A. 12
b. 42
c. 96
d. 16
Answers
Answer:
C. 96
Step-by-step explanation:
x = 9, so we have:
6 · (9 + 7) = 6 · 16 = 96
Please give me Brainlest!
x is less than 6 and greater than -1
Answers
Answer:
0, 1,2,3,4,5
Step-by-step explanation:
...............
At a sale, suits were sold for $116 each. This price was 58% of a suit's original price. How much did a suit originally cost?
Answers
58% is 0.58.
Then divide the discounted price ($116) by the % in decimal form:
116 / 0.58
Original price is $200.00
40 passengers in cars = 4 passengers per car
Answers
Answer:
if there is 40 passengers and 4 passengers per car there are 10 cars
In these pictures, you have to find the area
Answers
Why do all verified people who answer, are always wrong
Answers
Answer:
they probably do it just to get more answer points or whatever the brianily thing is called
Step-by-step explanation:
Sneezy's bank account increased from $1,200 to $1,800. By what percent did the amount of money in his bank account increase?
Answers
Answer:
66.6
Step-by-step explanation:
1200/1800x100 = 66.6
Answer:
increased by 50%
Step-by-step explanation:
($1,800/$1,200)*100= 150%
150%-100%=50%
Which one is it please hurry. Thank you
Answers
Answer: I think it’s A if I am incorrect I am very sorry
Step-by-step explanation:
what is -2(4x+3)-(x-7) = 6
Answers
Answer:
It should be x= -5/9
Step-by-step explanation:
-2(4x+3)-(x-7) = 6
Distribute: -8x-6-x+7=6
Solve: -9x+1=6
-9x=5
x=5/-9
2(4x+3)}}-1(x-7)=62(4x+3)−1(x−7)=6
8+6−1(−7)=6