Which equation represents a line which is parallel to the line 7y−x=−28?
The equation represents a line which is parallel to the line 7y−x=−28 is y=1/7 x.
The given equation is 7y-x=-28.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Here, equation can be rewritten as x-7y-28=0
So, slope of line = 1
As we know, slope of parallel lines are equal. If the slopes of two parallel lines are represented as m1, m2 then we have m1 = m2.
Now, m1 = m2 = 1
Find the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line parallel to 7y−x=−28.
y=1/7 x
Therefore, the equation represents a line which is parallel to the line 7y−x=−28 is y=1/7 x.
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16x+14y=8
-63x-14y=133
Answer:
(-3, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define Systems
16x + 14y = 8
-63x - 14y = 133
Step 2: Solve for x
Elimination
Combine 2 equations: -47x = 141Divide -47 on both sides: x = -3Step 3: Solve for y
Define original equation: 16x + 14y = 8Substitute in x: 16(-3) + 14y = 8Evaluate multiplication: -48 + 14y = 8Add 48 on both sides: 14y = 56Divide 14 on both sides: y = 4Step 4: Graph Systems
Check the solution set.
Which are lines that will intersect?
✔ a and b
Which are perpendicular lines?
✔ b and d
Which are skew lines?
✔ a and c
Lines a and b will intersect, lines b and line d are perpendicular and lines a and c are skew.
Two lines intersect, when both lines cross each other's paths i.e. they have a point of intersection.
Perpendicular lines are simply lines intersecting at a right-angle
Skew lines are two lines that are in different planes, that are neither parallel, nor intersecting.
From the diagram, we can see that-
When lines a and b are extended downwards, they will intersect at some point, thus a and b are intersecting.
Line b and the horizontal line between both planes, intersect at a right-angle. Thus, b and d are perpendicular.
Lines a and c are in different planes (i.e. they are non-coplanar)
Lines a and c do not intersect.
Hence, lines a and c are skew.
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The sum of two numbers is 10 and the difference is 6. What is the product of the two numbers?
Answer:
16
Step-by-step explanation:
the numbers are 8 and 2.
Complete the table of ordered pairs to the right for the equation. Then plot the ordered pair solutions.
1
4
Complete the table.
X
0
12
(Type integers or simplified fractions.)
y
0
complete the table
Step-by-step explanation:
x. y
0. 4
12. 7
-16. 0
...................
I NEED HELP A.S.A.P.
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
7e4t + 200 = 2e4t +1500
The role that an organism plays within the area it lives is known as its
Question 5 options:
A.Nest
Will give brainliest
B.Habitat
C.Home
D.Niche
Answer:
Niche
Step-by-step explanation:
Ecology dfn of niche
Identify the line of symmetry.
line q
line p
line r
Answer:
Line r
Step-by-step explanation:
I took the Test
Someone please help me I’m struggling rn
Answer:
HAVE A GOOD DAY !! YAYAYA
Convert 8 centimeters into yards. Round your answer to the nearest hundredth.
Please give me an answer fast! :(
Which line has the greatest rate of change?
A. The line passing through (1,3) and (5,1)
B The line passing through (-1,3) and (1,7)
C The line passing through (1,1) and (4,-3)
D The line passing through (0,6) and (12,9)
Answer:
The answer is D
Step-by-step explanation:
If wrong plz correct me if right plz mark brainliest
-x/3 + 4 =20 books never written
The value of x from the given linear function is -48
What are linear equations?Linear equations are equation that has a leading degree of 1. For instance the equation y = mx + b is a linear equation.
Given the equation below
-x/3 + 4 =20
We are to determine the value of x
Subtract 4 from both sides to have;
-x/3 + 4 - 4 = 20 - 4
-x/3 =20 - 4
-x/3 = 16
Multiply both sides by 3 to have
-x = 3(16)
-x = 48
x = -48
Hence the value of x from the given linear function is -48
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What type of decimal is this fraction: LaTeX: \frac{11}{20}
terminating
neither
both
repeating
11/20
Divide 11 by 20 to find the decimal value.
11/20 = 0.55
The decimal only contains two numbers, so it is a terminating fraction.
Junior's candy tax is working great for him. When any other student buys candy from the student store, Junior takes two pieces for himself for every five pieces the student buys. If his friend George bought 35 pieces of candy, how many pieces will go to Junior?
Answer:
14 pieces of candy
Step-by-step explanation:
Junior's candy tax is working great for him. When any other student buys candy from the student store,
We are told that Junior's tax =
Junior takes two pieces for himself for every five pieces the student buys.
If his friend George bought 35 pieces of candy, how many pieces will go to Junior?
The tax is represented as :
Junior : George
2 : 5
Hence:
2/5 = x/35
Cross Multiply
5x = 2 × 35
x = 70/5
x = 14
Hence, if George buys 35 pieces of candy, 14 pieces of candy goes to Junior
At 2 pm on Tuesday, the temperature was -12 degrees. By 6 pm the temperature had dropped to -20 degrees. What was the average change in temperature each hour?
Answer:
a
Step-by-step explanation:
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
The perimeter and area of the rectangle shown are 22 centimeters and 30 centimeters square respectively.
How to determine the valueFrom the diagram shown, we have that the each point measures 1 centimeter
The length of the rectangle measures 5 pints which is 5 centimeters
The width of the rectangle measures 6 points which is 6 centimeters.
The formula for perimeter of a rectangle is expressed as;
Perimeter = 2 ( length + width)
substitute the values into the equation
Perimeter = 2 ( 5 + 6)
Perimeter = 2(11)
Perimeter = 22 centimeters
Area = length × width
Area = 6 × 5
Area = 30 centimeters square
Thus, the perimeter and area of the rectangle shown are 22 centimeters and 30 centimeters square respectively.
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Which of the following methods of agriculture is the most reliant upon technology and automation? a. rangeland grazing b. American agriculture c. traditional rice cultivation d. Dutch agriculture Please select the best answer from the choices provided A B C D
please hurry :(
sorry it says math
Answer: D
Step-by-step explanation:
Answer:
D: Dutch
Step-by-step explanation:
Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. when applicable, state the domain restriction.
The domain of f(x)/g(x) is (-∞, 7)U(7, ∞).
The function f(x) is 6x + 2.The function g(x) is given as g(x) = x - 7.The function f(x)/g(x) becomes (6x + 2)/(x-7).A function is a mathematical link that connects a set of inputs to a set of outputs, with each input corresponding to exactly one output.A function is defined as a mathematical link between a group of inputs that each have one output.For this function to be defined, the denominator must not be zero.The value of "x" for which function is not defined is given by : x - 7 = 0x = 7So, the domain of the function f(x)/g(x) is all the real numbers except x = 7.To learn more about functions, visit :
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72.50 she worked 5 hours. If she was paid the same hourly wage, how many hours will see have to work to get 232.00
Answer:
16 hrs
Step-by-step explanation:
per hour she gets 72.50 / 5 or 14.50
so t * 14.5 = 232
t = 232 / 14.5
t = 16 hours
first sheet (picture included) brainliest!
Answer:
The equations are;
a -b + c = 5
c = -4
16a + 4b + c = 0
Step-by-step explanation:
Generally, the equation of a quadratic formula can be written as;
y = ax^2 + bc + c
From the graph, we have three points and we want to form equations from these points
These points are;
(-1,5) (0,-4) and (4,0)
To get the equation from each point, we make a substitution for both x and y
For the first;
5 = a(-1)^2 + b(-1) + c
5 = a-b + c
For the second;
-4 = a(0)^2 + b(0) + c
c = -4
For the third;
0 = a(4)^2 + b(4) + c
0 = 16a + 4b + c
Plz help im desperate I-...
Answer:
C!
Step-by-step explanation:
Here is a polygon. Draw a scaled
copy of the polygon using a scale
factor of 1/3.
To draw a scaled copy of the polygon using a scale factor of 1/3, just multiply the given sides of the polygon with 1/3 and the outcome is the new polygon with a scale factor of 1/3.
What is a scale factor?You shall specify the extent of the shape's enlargement when describing one. The scaling factor refers to this. A scale factor of 2, for instance, indicates that the new shape is twice as large as the previous shape.
The size of the shape reduces when the scaling factor is a fraction, yet we still refer to this as an enlargement. A scale factor of 1/4 therefore indicates that the new shape is 1/4 as large as the old one.
Make sure you never confuse the scale factor. One might mistake a scale factor of 2 for a scale factor of 12, or a scale factor of 4 for a scale factor of 14.
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30 POINTS TO WHOEVER CAN ANSWER THIS AND BRAINLIEST
Answer:
it is b or c, I would go for c tho
Step-by-step explanation:
brainliest? plz
Solve this system of linear equations. Separate
the x- and y-values with a comma.
17x = 43 - 15y
8x
-68 + 15y
Enter the correct answer.
DONE
?
Answer:
5x
Step-by-step explanation:
im not to sure tbh
Given the definitions of g(x) and f(x) below find (g o f)(-1)
f(x) = x2 - x + 7
g(x) = -2x + 14
Answer:
f(x)=3 g(x)=8
Step-by-step explanation:
Which of the following correctly shows the next two terms after −40 in the pattern?
−10, 20, −40
Answer/ explanation: -10 for sure :)
The next two terms after -40 in this pattern are 60 and -160.
What is arithmetic Progression?The difference between every two subsequent words in a sequence is the same; this is known as an arithmetic progression (AP). An equation for the previous block of the AP may be derived from this kind of development. For instance, the sequence 2, 6, 10, 14,... is a mathematical progression (AP) because it fits a pattern where every other number is acquired by adding 4 to the respective period.
The given data is,
-10, 20, -40
From -10 to 20 it is multiplied by 2 with a positive sign, and from 20 to -40 it is multiplied by 2 with a negative sign. Similarly, the next two numbers are 80 and -160.
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Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!
Answer: D
Step-by-step explanation: when you reflect across an axis, the axis that you are reflecting across doesn't change, the other one does. so in this case, the y axis doesn't change, but the x axis does, so we know that the y axis is being reflected.
help me solve -2/7x -5=-13 and please add how to do it
Answer:
Step-by-step explanation:
-2/7x -5 =13
-2/7x = 13 + 5 = 18
x = 18 (-2/7)
x = -5.14
Answer:
Step-by-step explanation: