Answer:
Parallel lines have same slope but different y-intercept
None of the given equations have same slope. Therefore lines are not parallel.
Step-by-step explanation:
Slope of Line a: 4y +x=8 is -1/4
Slope of Line b: 2y + x = 4 is -1/2
Slope of Line c: 2y = -3x + 6 is -3/2
Since the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
What is the slope?The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, the lines are.
Line a: 4y +x=8
Line b: 2y + x = 4
Line c: 2y = -3x + 6
Line a,
4y +x=8
4y= -x+8
y=-1/4x+2
Compare the given equation with the standard equation, y=mx+c in order to find the value of slope(m).
The slope of line a is -1/4.
Line b:
2y + x = 4
2y=-x+4
y= -1/2x+2
The slope of line b is -1/2.
Line c:
2y = -3x + 6
y= -3/2x+3
The slope of line c is -3/2
The slopes of the line 4y +x=8, 2y + x = 4 and 2y = -3x + 6 will be -1/4, -1/2 and -3/2 respectively.
Thus, if the slope of the parallel lines is equal and the slope of the given lines is not equal the lines are not parallel.
Learn more about the slope here:
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Which graph represents a function?
Answer:
Graph B represents a function.
Step-by-step explanation:
Graph B is a quadratic function. y = x^2
I NEED HELP ASAP!!
Select all the correct answers.
You're given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side to construct a
valid triangle?
8 centimeters
6 centimeters
ооооо
4 centimeters
10 centimeters
2 centimeters
Answer:
8 and 2
Step-by-step explanation:
5+3=8
5-3=2
The answer to (-15) + 33
Answer:
18
Step-by-step explanation:
33-15=18
Answer:
18
Step-by-step explanation:
coffee maker has the shape of a cone 10cm high with a radius of 6 cm at the top. The coffee maker is filled with water, and the water is allowed to drain out the bottom of the cone. Water is flowing out of the filter at a rate of 5 cubic centimerters per second. At what rate is the water level in the cone falling when it is 5cm from the bottom of the cone.
Answer: the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Step-by-step explanation:
Given the data in the question;
H/h = R/r
10/5 = 6/r
r 1 = 30/10 = 3
Also
10/h = 6/r
r2 = 6h/10 = 3/5 × h
Volume = 1/3πr²h
V = 1/3 × π × (3/5 × h)² × h
V = 1/3 × π × 9/25 × h³
V = 3π/25 × h³
Now
dv/dt = 3π/25 × 3 × h² × dh/dt
-5 = 3π/25 × 3 × 25 × dh/dt
-5 = 3π × 3 × dh/dt
-5 = 9π × dh/dt
dh/dt = -5/9π
dh/dt = -0.1768 cm/sec
therefore, the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
m + 4 = 17
Please help
Answer: m=13
Step-by-step explanation:
Basically you solve this by finding out what plus 4 equals 17. You can do this by subtracting 4 from 17.
17-4=13
This is how you find the value of m.
Answer:
13!
Step-by-step explanation:
first subtract 4 on both sides!
m+4=17
m+4-4=17-4
simplify/subtract 17-4=13!
(also stop reporting my comment and my answers!)
A phone company charges $0.25 for every minute someone goes over the limit. What is the independent and dependent variables
Answer:
time over plan is independent and the .25 is the dependent
Step-by-step explanation:
independent variables are changing depending on the dependent variables
The length of a rectangle is 2x + 3. The width of the rectangle is x - 2. Which of the following represents the perimeter of the rectangle?
Answer:
6x+2
Step-by-step explanation:
The perimeter is the sum of all of the sides. A rectangle has four sides. You multiply each equation by two, and add the two equations together.
What is cos(47)=x/3 solve for x
The equivalent value of {x} is equivalent to 2.046.
What is cosine function?The cosine function (or cos function) in a triangle is the ratio of the adjacent side to that of the hypotenuse.
Given is the expression as -
cos(47) = x/3
We have the expression as -
cos(47) = x/3
{x} = 3 cos(47)
{x} = 3 x 0.682
{x} = 2.046
Therefore, the equivalent value of {x} is equivalent to 2.046.
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What is the equation of the line that passes through the point (1,3) and has a slope
of -- 32
Answer:
The equation of the line that passes through the point (1,3) and has a slope of -32.
[tex]y=-32x+35[/tex]
Please check the attached graph too.
Step-by-step explanation:
Given
Point (1, 3) The slope m = -32The point-slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line (x₁, y₁) is the pointIn our case:
m = -32
(x₁, y₁) = (1, 3)
substituting m = -32 and (x₁, y₁) = (1, 3) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-3=-32\left(x-1\right)[/tex]
Add 3 to both sides
[tex]y-3+3=-32\left(x-1\right)+3[/tex]
Simplify
[tex]y=-32x+35[/tex]
Therefore, the equation of the line that passes through the point (1,3) and has a slope of -32.
[tex]y=-32x+35[/tex]
Please check the attached graph too.
A school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping. How much did they make selling balloons?
Answer:
OMG, Nickkkkk. It's Nyla from your 3rd block math classs. Lol, I literally looked up this question with no luck of an answer.
Step-by-step explanation:
The school club made $298.08 by selling the balloons.
What is Profit?Profit is calculated as total revenue less total expenses.
Given that, a school club sold 143 balloons for $3.50 each. They bought 150 balloons for $1.29 each, plus $8.92 for shipping.
Cost of balloons when they brought them = 1.29*150 = $193.5
Total cost = $193.5 + (shipping price) = $193.5 + $8.92
Total cost = $202.42
Cost at which they sold the balloons = 143*$3.50 = $500.5
Therefore, their total profit = $500.5 - $202.42 = $298.08
Hence, The school club made $298.08 by selling the balloons
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Which number line shows the solution of -6x + 18 < 30?
Answer:
number line a
Step-by-step explanation:
-6x +18 < 30
-6x < 12
x> -2
Answer:
its c
Step-by-step explanation: you subtract 18 from the left and add it to the right so you add 18 to 30 which gets you 48 then you divide 48 by -6 and reverse < to > since your dividing this by a negative
hopefully you understand give me a rate please!
Sameen bought 2 1/5 pounds of carrots for $6.60 at the rate how much would 1pound of carrots cost
Answer:
$3.00
Step-by-step explanation:
A school is arranging a field trip to the zoo. The school spends 688.95 dollars on passes for 42 students and 3 teachers. The school also spends 391.02 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student? how many dollars was spent per students
Answer:
The total spent on each student was $24.62. That is the pass and lunch
Step-by-step explanation:
$688.95÷45= $15.31 each oass
$391.02÷42=$9.31
15.31+931=$24.62
246000 in scientific notation
Answer:
2.46 x 10⁵
Step-by-step explanation:
Answer:
i wouldn't know that
Step-by-step explanation:
Which expression is equivalent to 4t + 3t
Answer:
C
Step-by-step explanation:
i think
Answer:
C. 7t
Step-by-step explanation:
What we know:
We are looking for an expression equal to 4t + 3t.
There are 4 choices:
1. 7t²
2. 7 + 2t
3. 7t
4. 12t
The answer does end in t, but is only one term, so B is eliminated.
An exponent is not involved either, so A is also eliminated.
It shows an addition sign, not multiplication, so D is also out.
This leaves C, which is 7t.
Doing this mathematically, add like terms.
4t + 3t
7t
9 times what number equals 800?
Answer:
9 times 800/9 equals 800. (Answer is 800/9)
Step-by-step explanation:
Key skills needed: Equation, Division, Fractions
1) Let's say the number is the variable "x".
2) So this means 9 times x = 800
9x = 800
3) Divide both sides by 9 and you will get x equal to 800/9. If you want this in mixed number form, it is --> 88 8/9
Hope you understood and have a nice day!! :D
88.8888888889
The equation to any of these sorts of questions is the larger number (800) divided by the smaller number (9).
You can check your answer by multiplying the quotient by the smaller number (9). If you get the larger number (800), you were correct, anything else, the equation was done wrong.
Hope this helps, if not, comment below please!!!
Employe work 8 hours on 2 days 6 hours on 1 day and 4 hours on 2 days what’s the average number
Which is smallest to largest 5.0, 5.008 or 5.15
that question makes no sense
f(x) =1+√x-2 and g(x) = 10/x-1 find gf
Answer:
[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]
Step-by-step explanation:
Explanation
Given function f(x) = [tex]1 + \sqrt{x-2}[/tex] and g(x) = [tex]\frac{10}{x-1}[/tex]
gf(x) = ([tex]g(1 + \sqrt{x-2})[/tex] )
[tex]= \frac{10}{1+\sqrt{x-2}-1 }[/tex]
[tex]= \frac{10}{\sqrt{x-2} }[/tex]
[tex]gf(x))= \frac{10}{\sqrt{x-2} }[/tex]
Which point is located at (8, 6)?
PLEASE PLEASE PLEASE ANSWER! I MARK BRAINLIEST!
Answer:
Go to the right 8 times from the
0,0 point and after you go right 8 times go up 6 times then there you go.
Step-by-step explanation:
Read answer
Multiply. - 5.2 x - 4.1 = _____. 1.1 - 1.1 21.32 - 21.32
Answer:
The answer is 21.32____
Does anyone know the value of x and y?!?!
Answer:
x=4 and y=2
Step-by-step explanation:
I'm not 100% sure but I substituted different numbers into the equation:
If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6
Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9
I'm more confident with x=4 and y=2 because of the small size of the triangle.
I hope this helps! Good luck! :)
Garth's taxable income last year was $97,450. According to the tax table
below, how much tax does he have to pay if he files with the Single status?
Answer:
$21,013
Step-by-step explanation:
Line a is parallel to line b. If the measure of 2 is 78 degrees, what is the measure of 8?
Answer:
78 degrees
Step-by-step explanation:
From the diagram;
<2 = 78 degrees
<2 = <6 = 78degrees (corresponding angles)
<6 = <8 = 78 degrees (vertically opposite angles)
Hence the measure of 8 is 78 degrees
Answer:
78 degrees
Step-by-step explanation:
Find the slope of the line. (10, 6) (4, 1.2)
let me know if I am missing some pieces to the problem by commenting :)
Answer:
M= 0.8
Step-by-step explanation:
i did some research and that's the answer
What is the average of all multiples of five from 5 to 50 inclusive
Answer:
add all the multiples together then divide by 10?
275/10 = 27.5
What’s the difference? (6d+5)-(2-3d)=
Answer:
9d+3
Step-by-step explanation:
Distribute the Negative Sign:
=6d+5+−1(2−3d)
=6d+5+(−1)(2)+−1(−3d)
=6d+5+−2+3d
Combine Like Terms:
=6d+5+−2+3d
=(6d+3d)+(5+−2)
=9d+3
What is the remainder in the division problem modeled below?
Answer:
3
Step-by-step explanation:
The problem appears to be 35 divided by 8, which would be 4 with a remainder of 3.
A statistical question produces data that varies.
Which question below will produce data that varies?
How many days are in a leap year?
How many quarts are in a gallon?
How many senses are there?
How many students are in each class?
Answer:
How many students will be varied.
all other questions have definite answers.
what is the denominator for 3/8 ?
Answer:
Here we will simplify 3/8 to its simplest form and convert it to a mixed number if necessary. In the fraction 3/8, 3 is the numerator and 8 is the denominator.
Step-by-step explanation: