which is an equation of the line parallel to 4y-7x=8 and passes through (-4,0)
Answers
Answer:
The correct option is; A. [tex]y = \dfrac{7}{4} x + 7[/tex]
Step-by-step explanation:
The given equation is 4·y - 7·x = 8
The coordinates of the point the line passes = (-4, 0)
By dividing the given equation by 4, we have;
4·y/4 - 7/4·x = 8/4
Which gives;
y - 7/4·x = 2
y = 7/4·x + 2
Which is the equation of a straight line in slope and intercept form, y = m·x + c, with the slope, m = 7/4, and the y-intercept = 2
Given that the required line is parallel to the graph of the equation, 4·y - 7·x = 8, the slopes of both equations are equal we have;
Slope of required line = 7/4, point on the line = (-4, 0), which gives the following point and slope form equation of a straight line;
y - 0 = 7/4 × (x - (-4))
y = 7/4·x + 7/4 × 4 = 7/4·x + 7
The equation of the line is therefore;
y = 7/4·x + 7
Related Questions
What is the slope and y-intercept of the linear function?
f(x)= 2/3x + 12
Answers
Are the ratios 30:15 and 32:12 equal?
Answers
Answer:
No, they are not
Step-by-step explanation:
:(
Mr. Jackson sold 3 computers in the first year . in the second year he sold 4 times more than the first and third year. He was able to sell 6 times as many monitors than the first year how many monitors did Mr. Jackson sell in three years?
Answers
Which three lengths could be used to form a right triangle?
15, 15, 48
19, 36, 57
51, 68, 85
7, 10, 14
Answers
Answer:
7, 10, 14 would be the answer
The force of gravity on the surface of jupiter is about 2.5 times as strong as that on earth. ON jupiter, the height of a ball dropped from a 100-meter tower is given by the function h(t) = -25t +100 meters at t seconds. How many seconds will it take for the ball to hit the ground?
Answers
Answer:
4 seconds
Step-by-step explanation:
Given
[tex]h(t) = -25t + 100[/tex]
Required
Determine what time it hits the ground
When the ball is on the ground, the height is at 0
i.e.
[tex]h(t) = 0[/tex]
Substitute 0 for h(t) in [tex]h(t) = -25t + 100[/tex]
[tex]0 = -25t + 100[/tex]
Collect Like Terms
[tex]25t = 100[/tex]
Solve for t
[tex]t = 100/25[/tex]
[tex]t = 4[/tex]
Hence, the ball will hit the ground in 4 seconds
You need a piece of paper to measure 56.34 cm. If you tape
two together that each measure 35.87 cm, how much do you
need to cut off?
Answers
Answer:
20.47.
Step-by-step explanation:
You need to 56.34, by 35.87. And you get your answer. 20.47!
The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars.
Company A: y=0.75x
Company B: y=10+0.50x
How many bars would the team need to purchase from each company in order for the total cost to be equal?
6
8
30
40
Answers
Answer:
30
Step-by-step explanation:
1. If energy is the ability to cause change, then
what evidence is there that energy is produced in
the interaction between the wind and the blades of
the wind turbine?
Answers
Answer:
We get electricity, that's all the evidence
Step-by-step explanation:
Have a GOOD DAY
We will use the idea that "energy is the ability to cause change" to study the interaction between wind and the blades of a turbine.
This is actually really trivial, if we look at the blades and they are stopped, then we can conclude that there is no wind, thus there is no energy. (By the Newton's laws, we know that there must be a force to change the movement of something).
Now if wind comes, the wind will cause a force on the blades making them rotate.
So a form of energy comes, mechanical energy, and we can see how it produces changes.
Then by the rotation of the blades, there are dynamos that can be used to charge and store energy, this is (roughly) how a wind turbine works.
If you want to learn more, you can read:
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What is the slope in the linear equation y= -3x +7?
Answers
Answer:
-3
Step-by-step explanation:
the coefficient of the x term is the slope in any equation that is in slope intercept form
Answer:
-3 is the slope
Step-by-step explanation:
The equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -3x+7
-3 is the slope and 7 is the y intercept
hey im new , who can show me how to use this ,thanks
Answers
Answer:
Sure, if u want to ask a question click question, however you need to answer questions to recieve points in order for you to ask questions. So answers some questions then you can ask
Step-by-step explanation:
Sara used a number line to add. She started counting at 10, and then she counted until she
was over the number -4 on the number line. If Sara is modeling addition, what number did
she have to add to 10?
Answers
Answer:
-14
Step-by-step explanation:
3 10/15 - 1 12/15
please help I will give you Brainlyest
Answers
Answer:
as a mixed number it will be 1 13/15
but in exact form it will be 28/15
Step-by-step explanation:
hope this helped.. :)
[tex]1\frac{13}{15}[/tex] is the solution for [tex]3\frac{10}{15}[/tex] - [tex]1\frac{12}{15}[/tex]
What is Fraction?Fractions represent the parts of a whole or collection of objects.
The given expression is
[tex]3\frac{10}{15}[/tex] - [tex]1\frac{12}{15}[/tex]
Firstly we need to convert this mixed fraction to improper fraction.
Improper fractions are fractions whose numerator is greater than denominator.
((15×3)+10)/15 - ((15×1)+12)/15
(45+10)/15 - (15+12)/15
55/15-27/15
15 is the LCM
(55-27)/15
28/15
Now we convert this to improper fraction
[tex]1\frac{13}{15}[/tex]
Hence [tex]1\frac{13}{15}[/tex] is the solution for [tex]3\frac{10}{15}[/tex] - [tex]1\frac{12}{15}[/tex].
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x2 is to 441 as x3 is to ___.
Answers
Solve for c in x^2 = 441
Taking the square root of both sides x = 21
Now x^3 = 21^3 = 9,261
The answer is 9,261
The solution is x² is to 441 as x³ is to 9261
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
x² = 441
Taking square roots on both sides , we get
x = 21
Therefore , x³ = 21 × 21 × 21
x³ = 9261
Hence , x² is to 441 as x³ is to 9261
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Which of these is an example of typing at an average rate of 42 words per minute?
Select one
Answers
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
very very sorry for the late response wish i could have seen this earlier
Step-by-step explanation:
Answer:
typing 16 words in 2/3 of a minute
Step-by-step explanation:
Xavier has a lunch food budget of $120 a month. He spends an average of $6 per day on lunch. Create a table and then a graph to represent the relationship. Then write an equation
where d represents the number of days and m represents that amount of money he had left.
Answers
Answer:
m= 120 - 6*d
Step-by-step explanation:
budget is $120 per 1 month, spends $6 per 1 day
on the the table you have 2 columns: one labele it "days" and one "$ spent" and fill it in:
days: 1,2,3,4,..
$ spent: 6, 6*2=12, 6*3= 18, 6*4= 32,...
on the graph lable the horizontal axis "days" and the vertical axis "$ spent"
now plot the points (1,6), (2,12),(3,18), ..., and draw a line trough them
the equation is
m= 120 - 6*d
so after 20 days for example, out of 120 will have m=120-6*20=120-120=0,
$0 wil have in 20 days
Find the total cost to the nearest cent.
$49.95 pair of shoes; 5% tax
Answers
Answer:
$52.45
Step-by-step explanation:
the tax is $2.50, if we add that to $49.95 we get $52.45
Total cost will be $52.45.
What is Percentage?
A relative value indicating hundredth part of any quantity is called percentage.
Given that;
Cost of shoes = $49.95
Tax = 5%
Now,
The value of tax = 49.95 × 5%
= 49.95 × 5/100
= 2.50
So, Total cost = $49.95 + $2.50
= $52.45
Thus, Total cost will be $52.45.
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Andreas drew the model below to represent the equation 20 + 10 = blank x (4 + 2).
A model with 5 rows of 4 and 5 rows of 2.
What is the missing value in Andreas’s equation?
2
4
5
6
Answers
Answer:
It's C.
Step-by-step explanation:
If you get both of them you can get the real answer
Answer:
its 5
Step-by-step explanation:
because 4+2=6 divide 30 by 6 and that will give you 5
Please help! I'll give brainliest!
Who refused to help the colonists of Roanoke Island?
The Queen
Other colonists
British government
Croatoan Indians
Answers
Answer:
British Government
Step-by-step explanation:
Answer:The Croatan
Step-by-step explanation: I am literally on the module two exam and it’s obvious Plus I read about this
A stack of cards contains 17 red cards and 9 black cards. What are the odds against drawing a red card?
A. 9:17
B. 17:9
C. 9:26
D. 17:26
Answers
Answer:
Step-by-step explanation:
A
If g(x)=4x-5 find g(-3).
Answers
Answer: -17
Explanation: If g(x) = 4x - 5, then g(-3) = 4(-3) - 5 which simplifies to -17.
How many of you guys think Into The Night by Bath & Body Works is really masculine?
Answers
Answer:
I think it smells like a grandma but a strong one but it also smells good a little
Step-by-step explanation:
42 push ups in 5 minutes
Answers
Answer: Uh, hurray?
Step-by-step explanation: I can do 100 in a minute
Answer:
um are you saying i have to do this?
Step-by-step explanation:
n o not happening i've never been good at push-ups
Answer all questions thoroughly, pls!!
1. How can you distinguish between linear and exponential functions?
2. How do increasing linear functions and exponential growth functions compare?
3. Give an example of a linear function and an exponential function.
Answers
1.You can recognize exponential and linear function by their graph.Linear functions are straights while exponential functions are curved lines.You can also recognize them by the change in your.If the same number is being added to y,then the function has a constant change and is linear.3:-An example of a exponential function is the growth of bacteria and A common equation,y=mx+b y=mx+b,(namely the slope-intercept form,which we will learn more about later)is a example of a linear function.2:-For constant increments in x,a linear growth would increase by a constant difference,and an experimental growth would increase by a constant ratio.
Which of the following is equal to [(x^2y^3)^-2/(x^6y^3z)^2]^-3
Answers
Answer:
A,B,D
Step-by-step explanation:
right on edge
Answer:
A,B,D
Step-by-step explanation:
what are all the factors of 32?
Answers
Please help!! Need this turned in!! In the picture!!
Answers
Answer:
I hope this helps please name me brainliest
Step-by-step explanation:
is the relation function?
choose the correct answer
marking brainlist
Answers
Answer:
Not a function because an output has two different inputs
Step-by-step explanation:
Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)
Answers
Answer:
[tex]y=\frac{9}{4}x-\frac{55}{4}[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Given points: (3, -7), (7, 2)
(3, -7) = (x1, y1)
(7, 2) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:
[tex]\frac{2-(-7)}{7-3}[/tex]
Simplify:
2 - (-7) = 2 + 7 = 9
7 - 3 = 4
[tex]\frac{9}{4}[/tex]
The slope is [tex]\frac{9}{4}[/tex].
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:
[tex]2=\frac{9}{4}(7)+b[/tex]
[tex]2=\frac{63}{4}+b[/tex]
[tex]-\frac{55}{4} =b[/tex]
The y-intercept is [tex]-\frac{55}{4}[/tex].
Now that we know the slope and the y-intercept, we can write the equation:
[tex]y=\frac{9}{4}x-\frac{55}{4}[/tex]
pretty please help me with my geometry work, thank you :)
Answers
Answer:
9. MP = 49
10. VT = 62
Step-by-step explanation:
#9
∵ In the rhombus, all the sides are equal in length
∵ MNOP is a rhombus
∵ MN = NO = OP = PM
∵ MN = 9x - 77
∵ OP = 3x + 7
→ Equate them to find x
∴ 9x - 77 = 3x + 7
→ Add 77 to both sides
∴ 9x = 3x + 84
→ Subtract 3x from both sides
∴ 6x = 84
→ Divide both sides by 6
∴ x = 14
→ Substitute the value of x in the expression of OP to find its length
∵ OP = 3(14) + 7 = 42 + 7
∴ OP = 49
∵ All the sides are equal in length
∴ MP = 49
--------------------------------------------------------------------------------------------------------
#10
∵ The diagonals of the square bisect each other
∵ STUV is a square
∵ SU and TV are its diagonals
∴ W is the mid-point of SU and TV
∴ SW = WU
∵ SW = 2x + 13
∵ WU = 8x - 41
→ Equate them to find x
∴ 8x - 41 = 2x + 13
→ Add 41 to both sides
∴ 8x = 2x + 54
→ Subtract 2x from both sides
∴ 6x = 54
→ Divide both sides by 6
∴ x = 9
→ Substitute x in the expression of SW to find it
∵ SW = 2(9) + 13 = 18 + 13
∴ SW = 31
∵ SU = SW + WU
∵ SW = WU
∴ SU = 31 + 31 = 62
∵ Diagonals of the square are equal in length
∴ SU = VT
∴ VT = 62
The gravity coaster travels 340 meters in 10 seconds. The hurricane coater travels 190 meters in 5 seconds. Both coaters travels at a constant. Mario wants to ride the faster roller coaster. How fast does the gravity coaster travel? Find the unit rate.
Answers
Answer:
Mario would like to ride Hurricane coaster.
Gravity coaster travels at a unit rate of 34 m/s.
Step-by-step explanation:
Distance traveled by Gravity coaster = 340 meters
Time taken by Gravity coaster = 10 seconds
Distance traveled by Hurricane coaster = 190 meters
Time taken by Hurricane coaster = 5 seconds
Unit rate is nothing but the distance traveled by each coaster in unit time.
To find the unit rate, we can use the following formula:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Unit rate or speed of Gravity coaster = [tex]\frac{340\ m}{10\ s} = 34\ m/s[/tex]
Unit rate or speed of Hurricane coaster = [tex]\frac{190\ m}{5\ s} = 38\ m/s[/tex]
So, the faster coaster is the Hurricane coaster.
Mario would like to ride Hurricane coaster.
Gravity coaster travels at 34 m/s.