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SVEN [57.7K]
3 years ago
5

AB contains the points A(7, -11) and B(8,17). find the slope of a line perpendicular to AB

Mathematics
2 answers:
Marizza181 [45]3 years ago
7 0
Perpendiculare lines have slopes that multiply to -1

find slope
given (x1,y1) and (x2,y2) the slope would be (y2-y1)/(x2-x1)
so

given
(7,-11) and (8,17)
slope=(17-(-11))/(8-7)=(17+11)/1=28

28 times what=-1
divide by 24
what=-1/28

slope is -1/28

answer is B
Molodets [167]3 years ago
6 0
If a line were to be perpendicular from said points, the slope of it would be -1/28. Hope this helps!
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6a + 2b, 9a + 4b, 12 + 6b<br><br> Find the 40th term<br><br> Show all work :)
Naily [24]
1. 6a + 2b
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3. 12a + 6b 
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19. 60a + 38b
20. 63a + 40b
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Basically, add 3 to every number in front of the a and 2 to every number in front of the b. Or just multiply. 
8 0
3 years ago
Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma
olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is  0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is  0.919 (91.9%)

6 0
3 years ago
Two trees are next to each other in a clearing. The first tree is 13 feet tall and casts an 8-foot shadow. The second tree casts
SVEN [57.7K]
The second tree is 59.5 feet
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3 0
2 years ago
Nancy and Kevin collect coins. Nancy has x coins. Kevin has 9 coins fewer than five times the number of coins Nancy has. Write a
Alexus [3.1K]

Answer:

x + (5x-9)

Step-by-step explanation:

x stands for the number of coins Nancy has

Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9

To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9

x + (5x-9)

But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations

3 0
2 years ago
Is this factorable please help me.
olga2289 [7]
This can be factored into (2t - 9)(t + 7)
7 0
3 years ago
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