Answer:
Step-by-step explanation:
From coordinate geometry we know that, slope is ratio of vertical change rise and the horizontal change run.
Mathematically,
Putting the given values,
Answer:
Your answer would be that it is closest to Saturn
Hope this helps all FLVS peeps!
Solve problems a,b,c,d,e,and f. With the graph
Answers:
a. f(-4)=2
b. f(0)=0
d. f(-5)=0
e. x when f(x)=-2 answer: 2
f. x when f(x)=0 answer: 0
Sorry, I can’t answer c. f(3)= because when x is three from the x-axis on the graph, the line that meets 3 from the x-axis doesn’t show a whole number y-coordinate on the graph :(
But I hope this helps and answers your question :)
Based on the concept of coordinates and the available information, the correct answer is option D. (y2 - y1)(y4 - y3) = (x2 - x1)(x4 - x3)
Coordinate is a mathematical term that is used to describe the values on which mathematical operations occur in an algebraic expression.
In this case, to determine if AB is parallel to CD check if the slopes of the two lines are equal since parallel lines have the same slope.
The slope of a line passing through two points (x1 y1) and (x2 y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
So the slope of line AB is:
m_AB = (y2 - y1) / (x2 - x1)
And the slope of line CD is:
m_CD = (y4 - y3) / (x4 - x3)
If AB is parallel to CD then the slopes m_AB and m_CD should be equal.
Therefore the condition to prove that AB is parallel to CD is:
m_AB = m_CD
If the condition m_AB = m_CD is true it proves that line AB is parallel to line CD.
Hence, in this case, the correct answer is option D. (y2 - y1)(y4 - y3) = (x2 - x1)(x4 - x3)
Learn more about Coordinates here: brainly.com/question/17206319
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The option is in the image attached to the answer.
Answer:
c= -1
Step-by-step explanation:
To find the average sales rate of cupcakes per customer, you divide the total number of cupcakes sold (168) by the total number of customers (50). The result is approximately 3.36 cupcakes per customer.
To answer this question, you need to understand the concept of a rate, which is a ratio that compares two different kinds of units. Here, the units are the number of cupcakes sold and the number of customers.
Firstly, note that a 'dozen' equals 12. So the shop sells 14 dozen, or 168 cupcakes every day.
To compute the rate, you divide the total number of cupcakes by the number of customers: 168 cupcakes ÷ 50 customers = 3.36 cupcakes per customer. So, on average, each customer at the shop buys approximately 3.36 cupcakes.
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b. 456,976
c. 703,040
d. 1,679,616
Using the Fundamental Counting Theorem, it is found that the number of possibilities is given by:
a. 175,760
It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
Then:
N = 26 x 26 x 26 x 10 = 175,760.
Hence option A is correct.
To learn more about the Fundamental Counting Theorem, you can check brainly.com/question/24314866