<span>According to the lecture, a valedictory speech should last approximately 15 minutes. </span>
Answer:
The Answer is: y = 1/3x - 2
Step-by-step explanation:
Giving points: (0, -2) and (6, 0).
First find the slope:
m = y - y1/(x - x1)
m = -2 - 0/0 - 6
m = -2/-6 = 1/3
Use the point slope form of the equation with point (0, -2) and solve for y:
y - y1 = m(x - x1)
y - (-2) = 1/3(x - 0)
y + 2 = 1/3x
y = 1/3x - 2
Hope this helps! Have an Awesome day!! :-)
Answer:
( 5, 7), ( 5, 7), Yes M is the center
Step-by-step explanation:
It could help you under stand this by drawing it out on paper. I can't draw it here. You just need to visualize a circle with points A and B on the outside portion of the circle. Then there is point M inside the circle. You are trying to figure out if M is in the center or not.
Look at the coordinates for all 3 and find the distance from A to M and then B to M. Count the total distance of the x values and the y values keeping in mind that positive Y numbers are above the x axis and negatives are below. And, negative numbers for X are to the left of the y axis and positive is to the right.
From A ( -1, -9) to M ( -6, -2). Look at the x values. You are going from -1 to -6 which is a total of 5 points. Now look at y values. You are going from -9 to -2 which is a total of 7 points. So the distance in coordinates is ( 5, 7)
From B ( - 11, 5) to M ( -6, -2). Again look at x values. You're going from -11 to -6 which is 5 points. Looking at the y values, you are going from 5 to -2. This is 5 above the x axis going down to a -2 which is below the x axis. So the total is 7 points. The distance of these two is also ( 5, 7 ) which is the same as the other distance.
Therefore, you can state correctly that M is the center of the circle.
Let's work out the process to find the numerator:
(x+2)/2 - (x+1)/3x Factor using the LCD, 6x
3x(x+2)/6x - 2(x+1)/6x
(3x² + 6x - 2x - 2)/6x
= (3x² + 4x - 2)/6x
Answer is 3x² + 4x - 2
Hopefully I did this correct, Not to good with math c':
The number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.
According to the question,
We have the following information:
A jeweler makes an ocean-inspired necklace using a total of 72 snail shells and shark teeth. The ratio of snail shells to shark teeth is 5: 4.
Let's take the number of snail shells to be 5x and the number of shark teeth to be 4x.
So, we have the following expression:
5x+4x = 72
9x = 72
x = 72/9
x = 8
Number of snail shells = 5*9 = 45
Number of shark teeth = 4*9 = 36
Hence, the number of snail shells used is 45 and the number of shark teeth used is 36 if the ratio of snail shells to shark teeth is 5:4.
To know more about ratio here
brainly.com/question/20013093
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