Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done
Answers
Answer:
y = 4x -16
Step-by-step explanation:
The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).
m = (y2 -y1)/(x2 -x1)
m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines
The point-slope equation for the line with slope 4 through point (4, 0) will be ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept
y = 4x -16 . . . . . . expanded to slope-intercept form
Related Questions
Help me do this question :)
Answers
Answer:
[tex]y = \frac{1}{8}x -7[/tex]
Step-by-step explanation:
Slope formula: [tex]y=mx+b[/tex]m = slope[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]Find the slope using (8, -6) and (-8, -8):
[tex]m=\frac{-8-(-6)}{-8-8} \\\\m=\frac{-8+6}{-8-8} \\\\m=\frac{-2}{-16}\\\\m=\frac{2}{16}\\\\m=\frac{1}{8}[/tex]
[tex]y=mx + b\\\\y = \frac{1}{8}x + b[/tex]
Now, we use either of our points (8, -6) OR (-8, -8) to find b.
I will be using (8, -6):
[tex]y = \frac{1}{8}x + b\\\\-6=\frac{1}{8}(8) + b\\\\-6=1+b\\\\-1 \ \ -1\\\\-7=b[/tex]
[tex]y = \frac{1}{8}x + b== > y = \frac{1}{8}x -7[/tex]
Check your answer manually: (-8, -8)
[tex]y = \frac{1}{8}x -7\\\\-8 = \frac{1}{8}(-8) -7\\\\-8=-1-7\\\\-8=-8[/tex]
This statement is correct.
*You can also view the attached graph to verify the answer, meaning that those two points should lie on the same line.*
Hope this helps!
Use+the+following+data+to+compute+the+relative+market+share+of+each+brand+and+its+position+on+the+growth-share+matrix+if+the+market+growth+rate+is+13. 4%. +which+of+the+following+is+correct?
Answers
Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.
What is a market share?
Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.
A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.
For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.
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The box plots show the number of days spent at a national park by two different groups of visitors.
Two box plots are shown together. The title is Time Spent at Park. The number line goes from zero to five by a scale of one half. For Group A, the whiskers range from one half day to five days, and the box ranges from two days to three and one half days. A line divides the box at three days. For Group B, the whiskers range from one day to four and one half days, and the box ranges from two days to four days. A line divides the box at three and one half days.
Select all the statements that are supported by the random samples.
About 75% of visitors in Group A spent 3.5 days or more at a national park.
About , 75 %, of visitors in Group A spent , 3.5, days or more at a national park.
About 50% of visitors in Group B spent 3.5 days or less at a national park.
About , 50 %, of visitors in Group B spent , 3.5, days or less at a national park.
About 25% of both Groups A and B spent 2 days or less at a national park.
About , 25 %, of both Groups A and B spent , 2, days or less at a national park.
Group A had greater variability in the number of days spent at a national park.
Group A had greater variability in the number of days spent at a national park.
Group B had a greater median and a greater spread in the number of days spent at a national park.
Answers
The answer is B i took the quiz
Write an equation of the line that passes through (0, 0) and (2, 6).
Answers
Answer:
y=3x
Step-by-step explanation:
hello :
an equation is : y=ax ( the line that passes through (0, 0) )
and (2, 6): x= 2 y=6 qo : 6 = a ×2 a =3
an equation of the line that passes through (0, 0) and (2, 6) is : y=3x
The equation of the line passing through the points (0, 0) and (2, 6) is:
y = 3x.
What is the equation of a line?The equation of a line is a relation between the dependent variable y and an independent variable x, used to determine the value of y for a given x. The general form of such an equation is,
y = mx + b, where m is the slope and b the y-intercept.
What is the two-point formula?The two-point formula is the formula used to determine the equation of a straight line when the slope m and the y-intercept b are not given, but we know two points on the line.
The formula is such: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁).
How do we solve the given question?We have been given two points on the required line, (0, 0) and (2, 6)
We take the points as (x₁, y₁), and (x₂, y₂) respectively.
∴ x₁ = 0, x₂ = 2, y₁ = 0, y₂ = 6.
Since it's an equation of a line, we use the two-point method to determine the equation.
The two-point formula is:
y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)
Substituting the values we have, we get:
y - 0 = ((6-0)/(2-0))*(x-0)
or, y = 3x.
∴ The equation of the line passing through the points (0, 0) and (2, 6) is:
y = 3x.
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Help
Arc JK = ______°Arc
M<1 = ______°
Answers
Answer:
Step-by-step explanation:
9/5 - (-6/10)
Khan academy needs either exact fraction or exact decimal
Answers
Answer:
Exact fraction: 6/5
Exact Decimal: 1.2
Answer:
12/5 = 2.4
Step-by-step explanation:
The fraction 6/10 can be reduced to simplify the addition.
9/5 -(-6/10) = 9/5 +6/10 = 9/5 +3/5
= 12/5 = 2.4
__
The two minus signs "cancel." The product of any set of numbers with an even number of minus signs will be positive.
What is the area of H?
How many pieces of wood will be brought to complete the project?
Answers
Answer:
250
Step-by-step explanation:
Because if you multiply 10 by 10 you get 100 and then multiply 100by 2.5
The price of the stereo system
decreased from $210 to $126.
What was the percent of decrease?
Answers
Answer:
40%
Step-by-step explanation:
The amount of decrease is $84, so now all you need to do is convert 84/210 into a percentage. Divide both sides by 2.1 so the denominator is 100 (percent is a ratio with a denominator of 100) and the answer will be 40/100, which is 40%.
What polynomial has quotient x^2 + 6x − 2 when divided by x + 3?
Answers
Answer:
x³ + 9x² + 16x - 6
Step-by-step explanation:
First, you have to multiply x + 3 with x² + 6x - 2.
(x + 3)(x² + 6x - 2)
You will get:
x · x² = x³
x · 6x = 6x²
x · -2 = -2x
3 · x² = 3x²
3 · 6x = 18x
3 · -2 = -6
When you combine these, you get:
x³ + 6x² - 2x + 3x² + 18x - 6
Add them up to get your answer,
x³ + 9x² + 16x - 6.
Hope this helps!
Find the solution of the system of equations.
x+2y=9
-6x+4y=-46
Answers
Answer:
x=-3.5 and y=6.25
Step-by-step explanation:
x+2y=9
x=9-2y
-6(9-2y)+4y=46
-54+12y+4y=46
16y-54=46
16y = 100
y = 100/16 = 50/8 = 25/4 = 6.25
x+2(6.25)=9
x+12.5=9
x= -3.5
A bike rental company charges its customers p dollars per day to rent a bike, where 5≤p≤30. the number of bikes rented per day can be modeled by the linear function n(p)=300−10p. how much should the company charge each customer per day to maximize revenue? do not include units or a dollar sign in your answer.
Answers
Using the vertex of a quadratic equation, it is found that the company should charge each customer $15 per day to maximize revenue.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the number of bikes rented per day is given by:
n(p) = 300 - 10p.
Hence, the revenue function is given by:
R(n) = p x n(p)
R(n) = 300p - 10p².
Which is a quadratic function with coefficients a = -10, b = 300. Hence, the price in dollars that will maximize the revenue is given by:
[tex]x_v = -\frac{300}{-20} = 15[/tex]
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
Identify the area of the polygon with vertices t(6,5), a(8,−1), s(4,−2), and k(−1,4).
Answers
Answer:
36.5 square units
Step-by-step explanation:
There are a number of ways to compute the area of a polygon from the coordinates of its vertices. There are algebraic formulas, geometric methods involving decomposing the figure, and an interesting method described by Pick's theorem.
__
GeometryThe figure can be enclosed by a rectangle that is 7 units high by 9 units wide. The actual figure is obtained by removing the triangular corners of this rectangle. The areas of those are given by the triangle area formula ...
A = 1/2bh
Working clockwise from lower left, the triangle base (horizontal) and height (vertical) dimensions are 5×6, 7×1, 2×6, 4×1. That means the area of the triangles is ...
A = 1/2(5×6 +7×1 +2×6 +4×1) = 1/2(30 +7 +12 +4) = 1/2(53) = 26.5
The area of the bounding rectangle is ...
A = bh = 9×7 = 63
So, the area of the figure is the difference ...
A = 63 -26.5 = 36.5 . . . square units
__
The other methods of finding the area have been added as attachments.
Jake is saving for a new tablet. It costs $250, and he has $100. He earns $5 per week for doing chores. Jake wants to figure out how many weeks it will take for him to have at least enough money to buy a new tablet. Write an inequality and solve it to determine the number of weeks it will take.
Answers
Answer: 250 ≤ 100+5x
150≤5x divide by 5
30≤x
It will take 30 weeks to earn enough.
Step-by-step explanation:
write these polynomials in standard form
1). 5x^2- 15+7
2.) 4 + 8n- 3n^4＋ 10n2
Answers
Answer:
1. [tex]5x^{2} - 8[/tex]
2. [tex]NaN-16[/tex]
Step-by-step explanation:
Write the following decimals in expanded form:
a) 0.75
b) 245.07
c) 36.85
d) 3.74
Answers
Answer:
a ) 0.75 = 0.70 + 0.05
b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07
c) 36.85 = 30+6 + 0.80 + 0.05
d) 3.74 = 3+ 0.70 + 0.04
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Write the following decimals in expanded form:
a) 0.75
0.70 + 0.05
b) 245.07
200 + 40 + 5 + 0.07
c) 36.85
30 + 6 + 0.8 + 0.05
d) 3.74
3 + 0.7 + 0.04
Hope this helps!
What is a closed line of credit? a. a line of credit with a set maximum credit limit. b. a line of credit with no interest rate. c. a line of credit with a fixed total amount. d. a line of credit with a legally mandated repayment schedule. please select the best answer from the choices provided a b c d
Answers
Answer:
c
Step-by-step explanation:
a line of credit with a fixed total amount.
The closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
What is a line of credit?On the bases of the requirement, a person or firm takes the open or closed line of credit.
Open Line of Credit-This is a type of short period of loan in which many credit and deposit can be make, for example credit cards.Closed Line of Credit-This type of credit has to be repaid with total amount. The period of such credit is longer than the open line of credit. The deposits is make single time with fixed total amount.Thus, the closed line of the credit is the line of credit with the fixed total amount. Option c is the correct option.
Learn more about the closed line of credit here;
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Help please thank you
Answers
Answer:
[tex] = 2 \times 4 = 8 \\ = 5 \times 5 = 25 \ \\ \frac{1}{2} \times 5 \times 3 = 7.5 \\ 7.5 + 8 + 2.5 = 18[/tex]
Explain how many solutions this system of equations has.
Answers
Answer:
No solution
Step-by-step explanation:
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {y = 3x - 4}} \right. \\\\[/tex]
Multiply the second equation by 2 to make the "x" coordinates the same.
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2(y = 3x - 4)}} \right. \\\\[/tex]
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {2y = 6x - 8}} \right. \\\\[/tex]
Subtract 6x from the first equation with the second equation
[tex]\rightarrow \left \{ {{2y = 6x + 4} \atop {-2y = -6x + 8}} \right. \\\\[/tex]
[tex]\rightarrow 0y = 0x + 12[/tex]
Simplify the R.H.S
[tex]\rightarrow 0 \neq 12[/tex]
This system of equation has no solution.
Graph:Barry earns $1300 a month. He spends 30% of this money on rent and 2/7 on bills. How much of the $1300 does he have left?
Answers
Answer:
It should be $538 left after the bills
Someone help me with this pls
Answers
Answer:
MAYBE
Step-by-step explanation:
Answer:
SORRY
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ANSWER
SOORY
Please help me someone!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
2x squared -5x + 3 into two terms
2x squared - 2x - 3x + 3
Factor out common terms and last two terms
2x(x-1) -3 (x-1)
Factor out the common term x - 1
ANSWER: (x-1) (2x-3)
At a height of 316 meters, the Bell Tower is the tallest building in Morgansville. Hank is creating a scale model of this building using
the scale 100 meters: 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Answers
Answer:
Scale: 100 meters per 1 meter
Actual: 316 per unknown meters(our scale)
So order our units:-
Scale 1 x_______ _______ = _______, solve for x;
Meters 100 3161/100 = x/316
*316 *316
3.16 = x, 3.16 rounded = 3.20 is the scale.
The value of a baseball card increased by 10%. Which expression represents the new value of the baseball card?
A. 1. 1v
B. V - 0. 1v
C. 0. 1v
D. V - 0. 1
E. V + 0. 1
F. V - 0. 9v
Answers
Answer:
d). Punch 1, then punch one zero. e). Punch the Add dar. 4 2 4. 0 + f) ... 1 by 6, that isi when you find the decimal v,s,lueA pencil is `120` millimeters long.
A marker is `9\%` longer than the pencil.
How long is the marker?
Answers
Given the length of the pencil, the length of the marker is 130.8 millimeters.
What are percentages?Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.
How long is the marker?Length of the marker = (1 + percentage) x length of the pencil
(1.09) x 120 = 130.8 millimeters
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pls help ! MAPPING SHAPES
A) only sequence a
b) only sequence b
c)both
d) neither
Answers
HURRY ASAP WILL GIVE BRAINLY
Answers
Two is 90,
Three is 180,
And four is 180.
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answers
Answer:
1/8 is the smallest possible whole number length for the third side
a circle is placed in a square with a side length of 6yd, as shown below. Find the area of the shaded region. Use the value 3.14 for (), and do not round your answer.
Answers
Answer:
7.74 yd²
Step-by-step explanation:
Area (shaded) = Area (square) - Area (circle)Area (shaded) = 6 x 6 - 3.14 x 3 x 3 [ Note : radius of circle = 1/2 of the side of the square]Area (shaded) = 36 - 28.26Area (shaded) = 7.74 yd²Answer:
7.74 yd²
Step-by-step explanation:
The shaded area can be calculated by subtracting the area of the circle from the area of the square.
Given:
side length of square = 6 ydradius of circle = half of side length = 3 ydπ = 3.14Area of the square = side length × side length
= 6 × 6
= 36 yd²
Area of the circle = πr²
= 3.14 × 3²
= 28.26 yd²
Shaded area = area of square - area of circle
= 36 - 28.26
= 7.74 yd²
What is one way to put your PowerPoint Online presentation in full screen mode for your audience?
Select Begin Presentation
Select Editing View, and then select Start Slide Show
Select Presentation View
Select Reading View, and then select Start Slide Show
Answers
Answer:
The easiest and fastest way is shown below, by clicking the button at the bottom that is circled.
Step-by-step explanation:
Answer:
Reading View
Step-by-step explanation:
First, select the Reading View option in the bottom right corner of the working area. Then, select the Slide Show option that is right beside the Reading View option. This will make your presentation go full screen.
A cube has a side length of 5 inches. What is the surface area, in square inches of the cube?
Answers
Answer:
A=6a2=6·52=150in²
Step-by-step explanation: