Answer:
(8,9)
Step-by-step explanation:
Given
Required
Determine the 4th point
The coordinate point of a horizontal or a vertical rectangle is given as:
(x1,y1), (x2,y2), (x3,y3), (x4,y4)
Where:
So, we have:
--- 
---- 
---- 
Using the above equations:
Hence, the coordinate of the 4th point is:
Answer:
For each part, find how many numbers have the stated characteristic, then divide by 21.
e.g. multiples of 5:
these would be 10, 15, 20, 25, and 30
so prob (a multiple of 5 ) = 5/21
Do the others the same way
Probability helps us to know the chances of an event occurring. The probability of pulling a green or red card is 9 / 100.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.
P = 
The probabilities of different color cards being pulled are 1/25 for red, 1/20 for green, 1/15 for purple, and 1/10 for black Therefore, the probability of pulling a green or red card is,
Probability = 1/20 + 1/25
= (5 + 4) /100
= 9 / 100
Hence, the probability of pulling a green or red card is 9 / 100.
Learn more about Probability:
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Answer:
63
Step-by-step explanation:
64+53+ (ㅣ) = 180
117 + (ㅣ) = 180
(ㅣ) = 63
Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
