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Verizon [17]
3 years ago
13

Write the slope intercept form of the equation of the line passing through the point (5, -4) and perpendicular to the line y=-4/

3x+5
Mathematics
2 answers:
n200080 [17]3 years ago
4 0
Y = -4/3x + 5....the slope here is -4/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the original slope and change the sign. So we have -4/3....we flip it and it becomes - 3/4....we change the sign and it becomes 3/4. So the perpendicular line will have a slope of 3/4.

y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub into the formula and find b, the y int
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
-31/4 = b
so ur perpendicular equation is : y = 3/4x + (-31/4) which is written as :
 y = 3/4x - 13/4 <== ur answer

Anna71 [15]3 years ago
4 0
As this line is <span>perpendicular to the line y=-4/3x+5 , so it has une equation: y=3/4x+b, b is unknown. ( you know that a*a'=-1)
IN addition, this line pass through the point (5;-4) and we have x=5 and y=-4
so, -4=3/4 x 5 +b and b=-4-15/4=-31/4
And we have y=3/4x-31/4
Have fun
</span>
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Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S
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Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

                                                 Strength Strength

                                                    High             Low

High conductivity                         74                8

Low conductivity                         15                3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

P=\frac{74}{100}=0.74

b) If a stand is randomly selected, the probability that its conductivity is low or  strength is low

Conductivity is low A= 15+3=18

Strength is low B= 8+3=11

Conductivity is low and  strength is low A\cap B=3

Probability is given by,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}

P(A\cup B)=0.18+0.11-0.03

P(A\cup B)=0.26

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength  are not mutually exclusive, since there exists some cases in which both the  events coincide. i.e. Intersection of both the events exists with probability 0.03.

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nordsb [41]

10 students of Elena's classmates like to make jewellery.

<u>Step-by-step explanation:</u>

Let total no.of classmates who liked the jewellery = x

Here, in the given problem, given she asked her classmates '20'. So, it clearly shows that total number of students/classmates = 20. Also, in that, 50% said like to make jewellery. Now find 'x' as below,

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