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nikklg [1K]
3 years ago
7

Write the equation of a line perpendicular to 8xplus5yequals2 that passes through the point ​(2​,negative 7​).

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
7 0

8x + 5y = 2   →   5y = - 8x + 2   →   y = (-8/5)x + 2  ⇒ m = -8/5

perpendicular slope = 5/8

Point-Slope formula: y - y₁ = m(x - x₁)  ; where (x₁, y₁) is the given point

y - (-7) = (5/8)(x - 2)

y + 7 = (5/8)(x - 2)

8(y + 7) = 5(x - 2)

8y + 56 = 5x - 10

8y + 66 = 5x

        66 = 5x - 8y   ⇒   5x - 8y = 66

Answer: 5x - 8y = 66


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Step-by-step explanation:

So the first thing to do is get the number of angles inside this pentagon, which is 540 degrees. One way to do this is that you know a pentagon is formed of 3 triangles and since there are 180 degrees in a triangle, 3x180=540

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3 years ago
Seventh grade students were asked whether they participated in an after school activity. Complete the table below.
Natalka [10]

Answer:

Relative frequency of male nonparticipation is O.42

Step-by-step explanation:

Figure 1 is your partially filled frequency table.

1. Complete the table

(a) Total No

Total Yes + Total No = Total

     102     + Total No = 187

                   Total No = 187 - 102  

                                   = 85

 

(b) Female No

Male No  + Female  No = Total No

     40      + Female No =      85

                  Female No =       85 - 40

                                      =       45

(c) Female Yes

Female Yes + Female  No = Female Total

Female Yes +       45          =        95

Female Yes                         =        95 - 45

                                            =        50

(d) Male Yes

Male Yes + Female  Yes = Total Yes

Male Yes +         50          =     102

Male Yes                           =     102 - 50

                                          =     52

(e) Male Total

Male Yes + Male No = Male Total

     52      +       40     = Male Total

         Male Total        =       92

Figure 2 shows the completed table.

2. Frequency of Male No

There are 92 males, of whom 40 do not participate in an after-school activity.

The relative frequency of male nonparticipation is

40/92 = 0.43

8 0
2 years ago
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