Help ASAPPP
the graph shows the depth,y, in meters, if a shark from the surface of an ocean for a certain amount of time, x, in minutes:
part a: describe how you can use similar triangles to explain why the slope of the graph between points a and b is the same as the slope of the graph between points a and c?
part b: what are the initial value and slope of the graph, and what do they represent?
Answers
Answer: Look at the step-by-step
Step-by-step explanation:
Part A: We can use two right triangles that represent rise over run to explain the slope of points A and B which has the same slope of points A and C. Since there will be two right triangles, they are considered similar triangles.
AB: 154 - 110= 44
44/2= 22
AC: 154 - 66 = 88
88/2=44
This means that the slope of the two sets of points is 44, and it represents the rate of change of the shark travelling away from the ocean’s surface every minute.
Part B: The initial value is 66 (m), and it represents the initial position of the shark at 0 minutes.
The equation of line is y = where y is the distance from ocean surface and x is the time taken in minutes , where the slope is m = 44 m/min
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the number of minutes be x
Let the distance from ocean surface be y
Let the first point be P ( 0 , 66 )
where P is the initial point of the graph
Let the second point be Q ( 2 , 110 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 110 - 66 ) / ( 2 - 1 )
Slope m = 44
And , the equation of line is
y - 66 = 44 ( x - 0 )
Adding 66 on both sides , we get
y = 44x + 66
Hence , the equation of line is y = 44x + 66
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Answers
Answer:
35 men
Step-by-step explanation:
To solve, you can divide 45/9 which you get 5. After you get 5, multiply that by 7 and you get 35. Hope this helps
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Answers
Answer:
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Step-by-step explanation:
Answer:
The slope is m=7
Step-by-step explanation:
The Slope of a Line
Suppose we have a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (3,5) and (4,12), thus: x1=3, y1=5, x2=4, y2=12. Substituting:
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Answers
Answer:
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Step-by-step explanation:
use slope formula y2-y1 over x2-x1
i used 1,5 and 2,7
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PLEASE HELP ASAP, will give Brainlyst to the best answer:
Solve for X:
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O A. x=-9
O
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О O
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Answers
Answer:
-9
Step-by-step explanation:
4x-12=8x+24
we change the signs when we bring 8x on the left hand side so positive 8x becomes -8x.
4x-8x-12=24
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Answers
Answer:
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Step-by-step explanation:
(x,y)
Answer:
(4 , 2) and (-4 , 2) are just on two opposite sides of the coordinate
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HURRY PLEASE I BARELY HAVE ANY TIME
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Answers
Answer:
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Answers
Answer:
Step-by-step explanation:
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Answers
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[tex] \tt{2. \: \: {x}^{5} \times {x}^{3} = {x}^{5 + 3} = \boxed{ \tt{{x}^{8} }}}[/tex]
{ To multiply two terms with same base , their indices are added and the same base is taken }
Hope I helped ! ツ
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Which side is the smallest?
Answers
Answer:
WX
Step-by-step explanation:
The distance between vertex X and vertex W is much smaller then from X to Y or W to Y.
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i hope this helps you!
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Answers
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Given that;Beginning typing speed = 30 word per minute
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Find:Increase word per minutePercentage changeComputation:Increase word per minute = Ending typing speed - Beginning typing speed
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Answers
Answer:
True.
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Answer:
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Answers
Answer:
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Answers
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Step-by-step explanation:
You didn't really say what you want but the above statement is true.
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Answers
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Answers
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A salesperson earns a weekly salary of $150 plus a 15% commission of her total sales. Her total sales for the week is $15,000. How much does she earn for the week?
$172.50
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Answers
(extra space)
As total salary of salesperson is sum of the fixed salary and commission. The salesperson earned $2400 for the week.
Given-
Fixed salary of the salesperson is $150 per week.
Total commission of the salesperson is 15 percent of his sales.
Total sales by the salesperson is $15000.
We have to find out the total earning of the salesperson of the week. As total salary of salesperson is sum of the fixed salary [tex]x[/tex] and commission [tex]y[/tex]. We know that her weekly salary is $150. Therefore find out first her commission for the sales for that week.
The commission [tex]y[/tex] earned by the salesperson for the week is fifteen percent of the total sales.Hence the fifteen percent of the total sales is,
[tex]y=15000\times\dfrac{15}{100}[/tex]
[tex]y=150\times15[/tex]
[tex]y=2250[/tex]
Thus the commission earned by the salesperson is $2250.
Now add this commission earned by the salesperson [tex]y[/tex] and her fixed salary [tex]x[/tex] to calculate the Total salary earn by the salesperson s is,
[tex]s=x+y[/tex]
[tex]s=150+2250[/tex]
[tex]s=2400[/tex]
Hence, The salesperson earned $2400 for the week.
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