The equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29. Then the correct option is A.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (–6, –1).
The slope of the parallel lines is the same.
Then the equation will be
y = 5x + c
And the line is passing through (-6, -1), then the value of c will be
-1 = 5(-6) + c
c = 30 - 1
c = 29
Then the equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29.
Then the correct option is A.
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125 square yards to square meters (to the nearest tenth)
Anyone know how to do the fireworks display portfolio?
Final answer:
To create a fireworks display portfolio, you can use physical methods such as printing photos or employ digital tools like a word processor, presentation software, or Web 2.0 tools. Ensure you use your own photos, review them to demonstrate key concepts learned, and include them in your final project.
Explanation:
To create a fireworks display portfolio, you have several options. One method involves printing your photos and physically attaching them to paper or poster board, then writing reflections beside them. For a more modern touch, you might opt to create your portfolio digitally using a word processor. In this format, it's important to only use your own photos rather than those with Creative Commons licenses or other sourced images.
Alternatively, you can employ presentation software or various Web 2.0 tools like Glogster (EDU) or VoiceThread for a dynamic and interactive portfolio. When creating your fireworks display portfolio, it is crucial to consider the visual and descriptive elements that highlight what you've learned. Make sure to review your flash photos, choose the sets that best demonstrate the three distance settings or the three settings in the assignment prompt, and be ready to discuss their relevance to the concepts learned in class, such as conservation of momentum and center of mass regarding fireworks.
Lastly, ensure that you download your photos to a computer to include them in the end-of-course final project portfolio. This portfolio will serve as a cohesive collection of your work and understanding of the subject matter.
Which ratio is not equivalent to the other three 2/3 12/15 6/9 1827,
Decide which of the two points lies on the graph of the line
2x-5y=-14
A. 2,-2
B. -2,2
Antoine is graphing the total number of prizes needed, P, based on the number of entries in a contest, E. He knows that for every 10 entries, he will need 1 prize, and he would like for his graph to show the total number of prizes needed for 100 and 150 entries. Select from the drop-down menus to correctly complete each statement.
To best show this information, the scale for the P-axis of his graph should go from 0 to at least ___ , and the E-axis of his graph should go from 0 to at least ___.
Twelve pennies are arranged in a row on a table every other coin is replaced with a nickel then every third coin is replaced with a dime finally every fourth coin is replaced with a quarter what is the total value of the coins on the table?
Final answer:
The sequence of substitutions of the coins on the table results in a final arrangement of coins with a total value of 121 cents or $1.21. This problem combines sequence patterns with coin values to find the total.
Explanation:
We have a problem involving a series of substitutions of coins, and we need to calculate the total value of the coins on the table after these substitutions. We start with 12 pennies, which are initially worth 1 cent each.
Step 1: Every other coin is replaced with a nickel, so we replace every 2nd penny with a 5-cent coin (nickel). The sequence starts with a penny (P), so the even positions will now be nickels (N). The sequence now looks like P, N, P, N, P, N, P, N, P, N, P, N.
Step 2: Every third coin is replaced with a dime, which is worth 10 cents. This means the 3rd, 6th, 9th, and 12th positions will now be dimes (D). The sequence becomes P, N, D, N, P, D, P, N, D, N, P, D.
Step 3: Every fourth coin is replaced with a quarter, which is worth 25 cents. Positions 4, 8, and 12 are affected. The sequence is now P, N, D, Q, P, D, P, Q, D, N, P, Q.
Let’s calculate the total value of the coins:
6 Pennies (P): 6 * 1 cent = 6 cents
2 Nickels (N): 2 * 5 cents = 10 cents
3 Dimes (D): 3 * 10 cents = 30 cents
3 Quarters (Q): 3 * 25 cents = 75 cents
Adding all these values together: 6 cents + 10 cents + 30 cents + 75 cents = 121 cents or $1.21.
This problem requires understanding of sequence patterns and knowledge of United States coin values to determine the total value of the coins.
Is f(x)=13.7e^0.04t an example of exponential growth or decay
Write an equation of the line that passes through (2, 7) and (0, −5)
y=
Please Help!
Economists recommend that the GDP (gross domestic product) growth rate of a nation be between 7.1 and 7.9 percent inclusively. Identify the compound inequality that show these GDP rates.
7.1 ≤ g ≤ 7.9
7.1 ≤ g <7.9
7.1 < g <7.9
7.1 < g ≤ 7.9
The compound inequality which represents the recommendation of economists for a GDP growth rate to be between 7.1 and 7.9 percent (inclusive) is given by '7.1 ≤ g ≤ 7.9'. This mathematical expression indicates that the acceptable rates are all the values including and between 7.1 & 7.9.
Explanation:In the context of mathematics, specifically the subject of inequalities, the student's question is asking to represent the given GDP rates as a compound inequality. A compound inequality is a statement with two inequalities joined by the word 'and' or 'or'.
Here, economists recommend the GDP growth rate to be between 7.1 and 7.9 percent (inclusive). So, the GDP growth rate (let's denote it as 'g') is more than or equal to 7.1 percent and, at the same time, less than or equal to 7.9 percent. So, the compound inequality which represents this situation is 7.1 ≤ g ≤ 7.9. So the correct option from the provided ones is the first one: '7.1 ≤ g ≤ 7.9'.
This inequality tells us that the growth rates 'g' are all the values including and between 7.1 & 7.9. This is crucial information for economists when monitoring the health and progress of a nation's economy. The percentage rate of GDP growth is a measure of economic success and can impact many aspects like standard of living, employment rates, and business growth.
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A square has an area of 49 units what is the length of each side
What is the slope of a line that is parallel to the line represented by the equation 3x + 4y = 12?
Answer:
- 3/4
Step-by-step explanation:
this answer is correct
Substitute the values of x and y into the expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2. Match that value to one of the numbers.
1. x = 2, y = -1
9.17
2. x = 0, y = 2.5
1.665
3. x = -1, y = -3
-11.25
4. x = 0.5, y =
14
5. x = , y =
-1
6. x = √2, y = √2
0.44
Geometry
Given triangle ABC with coordinate A(-2,5),B(-2,2) and C(-4,1) and it’s image A’B’C’ with A’(2,1), B’(-1,1) and C’(-2,-1), find the line of reflection.
The line reflection is at y= __
In ∆ABC, the median AM (M ∈ BC ) is perpendicular to the angle bisector BK (K ∈ AC ). Find AB, if BC = 12 in.
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
Answer:
Answer:
The answer is 6 inches
Step-by-step explanation:
Since the angle is isosceles, angle A and angle B have the same measure,
The sum of the angles of any triangle is 180°.
So 2 times the measure of angle B plus 120° = 180°, then the equation:
Solving for x we get:
Now we use the law of sine on the triangle BMC like this:
Solving for BC we get :
We apply the law of sin again on the isosceles triangle ABC like this:
Solving for AB we get:
6 inches
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Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli about how much meat did he buy altogether
The total meat Elian bought is 4.33 pounds.
What are some alternative names for arithmetic operations?Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.
Given, Elian bought 1.87 pounds of chicken and 2.46 pounds of turkey at the deli.
∴ The total meat Elian bought is the sum of pounds of chicken bought and pounds of turkey bought.
= (1.87 + 2.46) pounds.
= 4.33 pounds.
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Yuki has a ribbon that is 11 1/4 feet long. She divides it into pieces that are each 1 7/8 feet long. She uses three piece to make a bow. How many bows can she make in all?
how many x-intercepts does the graph of the given equation have?
y= -4x^2+3x-2
a.none
b. one
c. two
D. Three
Solve for the roots in the equation below...
x^3 - 27 = 0
Between which weeks was the change in money earned the greatest?
A rate for internet acess is $5 per month plus $0.25 per hour of use. write a function rule to show how the monthly bill depends on the number of hours used. if you spend one hundred and twenty-two horus in a month, how much will the monthly bill come to
Answer:
Its A o.22
Step-by-step explanation:
What correctly describes the relationship between the Russian Orthodox Church and the princes of kiev
Answer: the church was dependent on the princes power
Step-by-step explanation:
Please help, will give brainliest if you explain
Which ordered pairs are solutions to the following inequality?
(the < has a line under it)
2y - x < -6
Select EACH correct answer
a) (1,-4)
b) (2,-2)
c) (-3,0)
BRAINLIEST ASAPPPP!!!
Which of the following questions is a statistical question?
How many sticks of gum can you chew at one time?
Where can gum be purchased?
How many types of gum are there?
How many sticks of gum come in a standard pack?
Answer:
The answer is How many sticks of gum can you chew at one time? (I got it right on my test)
Step-by-step explanation:
Option A is the correct answer.
We need to find from the given options which is the statistical question.
What is the statistical question?A statistical question is one that can be answered by collecting data and where there will be variability in that data. This is different from a question that anticipates a deterministic answer.
Now from the given options, we can say that,
The best and most correct answer among the choices provided by your question is the first choice which states that "How many sticks of gum can you chew at one time? "
Therefore, option A is the correct answer.
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Your garden is in the shape of a trapezoid. The width is 2 feet. The parallel bases are 4 feet and 6 feet. What is the area of your garden?
Answer:
10 square feet
Step-by-step explanation:
The explanation is in the picture below.
Your welcome :)
The weekly revenue for a company is r equals negative 3 p squared plus 70 p plus 988r=−3p2+70p+988, where p is the price of the company's product. use the discriminant to find whether there is a price for which the weekly revenue would be $18001800.
Evaluate the summation of 2 n plus 5, from n equals 1 to 12..
A. 29
B. 36
C. 216
D. 432
Option: C is the correct answer.
C. 216
Step-by-step explanation:We are asked to evaluate the sum of the following summation:
[tex]\sum_{n=1}^{12} (2n+5)[/tex]
Now, this summation could also be written as:
[tex]\sum_{n=1}^{12} (2n+5)=\sum_{n=1}^{12} 2n+\sum_{n=1}^{12} 5[/tex]
i.e.
[tex]\sum_{n=1}^{12} (2n+5)=2\sum_{n=1}^{12} n+\sum_{n=1}^{12} 5[/tex]
Now, we know that:
[tex]\sum_{n=1}^{12} n=1+2+3+4+....+12\\\\i.e.\\\\\sum_{n=1}^{12} n=\dfrac{12(12+1)}{2}[/tex]
Since,
[tex]\sum_{i=1}^{n} i=\dfrac{n(n+1)}{2}[/tex]
i.e.
[tex]\sum_{n=1}^{12} n=78[/tex]
and
[tex]\sum_{n=1}^{12} 5=5+5+....+5\ (\text{twelve\ times})\\\\i.e.\\\\\sum_{n=1}^{12} 12=12\times 5\\\\i.e.\\\\\sum_{n=1}^{12} n=60[/tex]
Hence, we have:
[tex]\sum_{n=1}^{12} (2n+5)=2\times 78+60[/tex]
i.e.
[tex]\sum_{n=1}^{12} (2n+5)=156+60[/tex]
i.e.
[tex]\sum_{n=1}^{12} (2n+5)=216[/tex]
Which expression can be used to convert 80 US dollars (USD) to Australian dollars (AUD)?
1 USD = 1.0343 AUD
1 AUD = 0.9668 USD
If an outcome measure is normally distributed, this means that
A normally distributed result means that when the data is plotted on a graph, we can actually see a bell shaped curve. That highest frequency or peak is centered on the average value. Because it is shaped like this, we can say that:
most scores are around the average with some scores being lower or higher
The holding tanks are congruent. Each is in the shape of a cylinder that has been cut in half vertically. The bottom of each tank is a curved surface and the top of the pool is a flat surface. What is the volume of both tanks if the radius of tank #1 is 30 feet and the height of tank #2 is 110 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
An arithmetic series contains 20 numbers. The first number is 102. The last number is 159. Which expression represents the sum of the series?
Answer:
It's B
Step-by-step explanation:
20(102+159/2)