What is an equation of the line that passes through the point (4,1) and is
perpendicular to the line 2x - y = 4?
Answer:
Point-Slope Form: y - 1 = -1/2(x - 4) or Standard Form: y = -1/2x + 3
Step-by-step explanation:
For a line to be perpendicular, you take the negative inverse of the slope of 2x - y = 4. To do this, rearrange the y to one side and you get y = 2x - 4. The slope of the line is 2. So, taking the negative inverse would be -1/m (with m being slope of the the equation given in the problem. This would give you -1/2.
Using point slope formula, y - y1 = m(x - x1), you can plug in the point given, (4,1) and the slope you found to get y - 1 = -1/2(x - 4). For standard form, isolating the y gets you y = -1/2x + 3.
You can check your answer by using Desmos by putting in the line 2x - y = 4, the point (4,1), and the equation you got as your answer. You will see that the equation is perpendicular to 2x - y = 4 and passes through point (4,1). Your equation of the line is y - 1 = -1/2(x - 4) or y = -1/2x + 3
Hope this helps!
Here, we are required to find the equation of the line that passes through the point (4,1) and is
perpendicular to the line 2x - y = 4.
The equation of the line is: y = (-x/2) + 3
First, the product of the slopes of 2 perpendicular lines is -1.
Therefore, M1 × M2 = -1.
By rearranging the equation 2x - y = 4 to mimic the equation of a straight line; y = mx + c.
we have, y = 2x + 4 and obviously slope, m1 = 2.
Therefore, since M2 = -1/M1 from above;
M2 = -1/2
Therefore, the equation of the required line is given by;
M2 = (y - y1)/(x - x1)
where, M2 = -1/2, y1 = 1 and x1 = 4.
Ultimately, -1/2 = (y - 1)/(x - 4)
The equation of the line is then given as;
y = (-x/2) + 3.
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Use long division to find the quotient of 990 and 45.
Answer:
22
Step-by-step explanation:
because if you divide 45 first it will be wrong so you must always first will the biggest number in your problem
Answer:22
Step-by-step explanation:
990/45
45 goes 2 times into 99 with 9 left over. Bring down the 0 and you have 90. 45 goes into 90 2 times evenly. So 22 is the answer,
A courier service charges a flat rate of $12.50 per trip plus $0.60 per mile. They charged Films and More $23.30 to deliver a package.
A: Write the equation that represents this scenario.
B: How many miles did the courier service have to travel?
Answer:
all you have to do is multiply that and get the answer
The equation that represents this scenario. y = 0.6x + 12.5 and the courier service to travel 18 miles.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can ais lso be used to indicate the logical syntax's order of operations and other features.
Create an equation where y is the cost to deliver a package, and x is the number of miles traveled.
Since the service charges $0.60 per mile, the cost can be represented by $0.60x.
There is a flat rate of $12.50, so this will be added to 0.60x. Then, set this equal to y. Using this, create an equation:
y = 0.6x + 12.5
A number of miles the courier service had to travel by plugging in 23.30 as y and solving for x:
y = 0.6x + 12.5
23.3 = 0.6x + 12.5
10.8 = 0.6x
18 = x
Therefore, the equation that represents this scenario. is y = 0.6x + 12.5 and the courier service to travel 18 miles.
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Is a decagon is regular?
Answer:
Yes and No
Step-by-step explanation:
The definition of regular is that all sides are equal. If you have an irregular decagon, then not all sides are equal.
Review your answers to Question 2. What happens to the coordinates of a shape when the shape reflects about the x-axis? What happens to the
coordinates when the shape reflects about the y-axis? Explain.
B T U X
x,
Font Sizes
A- A-EE
Answer:
When the shape reflects about the x-axis, the x-coordinate remains unchanged but the y-coordinate becomes negative. When the shape reflects about the y-axis, the y-coordinate remains the same but the x-coordinate becomes negative.
Step-by-step explanation:
Sample answer from Edmentum
A gardener is filling 5 planter boxes (cubical pots) with potting soil. Each box is 1.5 feet long on each side. The
gardener has 3 bags of potting soil, each with a volume of 5 cubic feet.
Is there enough potting soil for the 5 planter boxes?
O There is not enough potting soil. The gardener needs 1.875 cubic feet more potting soil.
O There is enough potting soil. The gardener needs only 3.375 cubic feet of potting soil.
O There is not enough potting soil. The gardener needs 3.75 cubic feet more potting soil.
O There is enough potting soil. The gardener needs only 4.5 cubic feet of potting soil.
O There is not enough potting soil. The gardener needs 7.5 cubic feet more potting soil.
Answer:Mate fank yew mate
Step-by-step explanation:
A gardener is filling 5 planter boxes (cubical pots) with potting soil. Each box is 1.5 feet long on each side. The
gardener has 3 bags of potting soil, each with a volume of 5 cubic feet.
Is there enough potting soil for the 5 planter boxes?
O There is not enough potting soil. The gardener needs 1.875 cubic feet more potting soil.
O There is enough potting soil. The gardener needs only 3.375 cubic feet of potting soil.
O There is not enough potting soil. The gardener needs 3.75 cubic feet more potting soil.
O There is enough potting soil. The gardener needs only 4.5 cubic feet of potting soil.
O There is not enough potting soil. The gardener needs 7.5 cubic feet more potting soil.
Answer:
Step-by-step explanation:
Two thirds equal negative eight times a number
Which set of ordered pairs does not represent a function?
\{(-3, -9), (7, 9), (9, 1), (7, 3)\}{(−3,−9),(7,9),(9,1),(7,3)}
\{(-3, 8), (-6, 5), (-5, -6), (1, -6)\}{(−3,8),(−6,5),(−5,−6),(1,−6)}
\{(3, 1), (-2, -9), (6, -9), (4, 6)\}{(3,1),(−2,−9),(6,−9),(4,6)}
\{(4, 3), (-4, 4), (-2, -5), (6, 4)\}{(4,3),(−4,4),(−2,−5),(6,4)}
Answer:
2nd equation does not pass the vertical line test
(7,9) (7,3) (x,y)
because one x (input) should have one y (output)
however, one y (output) can have multiple x (inputs)
A computer's hard disk drive holds 80000000 bytes of information. If Jill buys an extra memory stick that holds 30000000 bytes of information, how much memory will the computer hold?
Answer:
110000000 bytes, or 110 Megabytes (MB)
Step-by-step exp
80000000 bytes (or 80MB) + 30000000 bytes (30MB)= 110000000 bytes (0r 110MB)
Bicycle Inc. rents bikes for $11 plus $5 per hour. Maria paid $51 to rent a bike. For how many hours, h, did she rent the bike?
Answer:
She spent 8 hours with the bike. She did rent the bike.
Step-by-step explanation:
The $11 fee is only a one time payment. The $5 is every hour so 5x8 is 40+11 is 51.
what is 4/5 × 7/20 in fraction form
Answer:
7/25
Step-by-step explanation:
are the lengths changing in a linear fashion in the listing above? Perry's hot tub
Answer:
there isnt anything there but sure yes they are
Step-by-step explanation:
hi m from India why about u all
Answer:
hi
Step-by-step explanation:
Answer:
USA bruv
Step-by-step explanation:
Which of the following equations will produce the graph shown below?
Answer:
You didn't attach anything.
Step-by-step explanation:
3x2 + 2x - 5 and -4 + 7x2
Answer:
10x+2x-1 i guess ??
Step-by-step explanation:
Is the following statement true or false?
The intersection of a plane and a line segment can be a line segment.
true
false
Answer:
False. Line segments are one dimensional, therefore any interaction they have with a plane will be a point.
Step-by-step explanation:
The statement 'The intersection of a plane and a line segment can be a line segment' is True.
What is plane?"It is a two-dimensional flat surface with no edges or thickness. "
What is line?"It a one-dimensional geometric figure, which has length but no width."
For given question,
If the line lies within the plane then the intersection of a plane and a line segment can be a line segment.
If the line does not lie on the plane then the intersection of a plane and a line segment can be a point.
Therefore, the statement 'The intersection of a plane and a line segment can be a line segment.' is True.
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Add 5 + (-8)
The answer is -3
TRUE OR FALSE
Answer:
True
Step-by-step explanation:
5 + (-8) is the same thing as 5-8
Hope this helps!!!
Answer:
True
Step-by-step explanation:
5+ -8
Rearranging the order
-8 +5
-3
If Linnia Bought some flats for flowers and each flat hold 9 flowers, and she has planted 10 flowers, would 9x + 10 be a reasonable algebraic expression to the problem?
Answer:
no because 9x means 9 times what ever x is so 9x +10 is not reasonable
Does 7 • 3 = 3 • 7?
Explain why or why not?
Answer:
yes it does because its the same both ways
Step-by-step explanation:
What is the domain of this function?
CAN SOMEONE PLEASE HELP A GIRL OUT !!! UwU
What do you do when you do not have the y-intercept? Explain in detail how you can find it.
Answer:
To find the y-intercept of a function, let x=0 and solve for y. Consider the following example.
Example
Find the y-intercept of the function: y=x2+4x–1
Solution
Let x=0 and solve for y.
y=0^2 + 4(0) – 1
=−1
I'm no simp, but I hope this helps. (why the UwU)
The length of a rectangle is 4 more than twice its width. If the perimeter of the
rectangle is 64 feet, find the dimensions of the rectangles
On average Asia makes 14 out of 20 free throws Assuming the relationship is proportional, how many free throws is she likely to make if she shot 150 free throws?
Answer:
105
Step-by-step explanation:
14:20=7:10
150/10=15
7x15=105
Asia will make 105 free throws out of 120 free throws
Let the number of free throws that can be made be represented by x.
Based on the information given in the question, the equation to use in solving the question will be:
14/20 = x/150
Cross multiply
20 × x = 14 × 150
20x = 2100
x = 2100/20
x = 105
Therefore, Asia will make 105 free throws out of 120 free throws
In conclusion, 105 free throws will be made.
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Write an equation of the line passing through the points (3,3) and (-1, - 13).
Answer:
y = 4x - 9
Hope this helps :)
Question 1
A line passes through (-3, 6) and has a slope -5. What is an equation of the line?
Your answer:
O y=-5x-15
y=-5X-21
y=-5x-9
y=-5x+21
Clear answer
ILL MARK BRAINLIEST
The y-coordinate of the vertex of the function y = 2x^2-8x+c is 2. The value of c is
(1)1
(3) 8
(2) 2
(4) 10
Answer:
1
Step-by-step explanation:
A car is traveling down a highway at a constant speed, described by the equation d=65t, where d represents the distance, in miles, that the car travels at this speed in t hours.
Answer:
Step-by-step explanation:
We are given an equation d = 65 t, where d represents the distance, in miles, that the car travels at this speed in t hours.
We know distance, speed and time relation
d = s * t.
Where d represents the distance, that the car travels at this speed in t at the speed s.
If we compare that relation with the given equation, we can see s = 65.
So,
a) The 65 tell us speed of 65 miles per hour in this situation.
b) Second part seems to be incorrect. Please check it again.
c) We are given distance = 26 miles.
Plugging d= 26 in the given equation.
26 = 65 t
Dividing both sides by 65, we get
26/65 = t
t= 0.4 hours.
So, it takes 0.4 hours or 0.4 * 60 = 24 minutes o travel 26 miles at this speed.
Express 0.7 as a rational number.
Find the distance between the two points in simplest radical form.
(4, -3) and (-1, -9)
PLEASE ANSWER FAST!IM TIMED——————————What is the sum of the fractions? Use the number line to help find the answer.
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6
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