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harina [27]
3 years ago
6

Write an equation in slope-intercept line form form for the line perpendicular to 2x-3y=12 that passes through the point (8,5)

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

3x+2y=34

Step-by-step explanation:

L1: 2x-3y=12 => the slope m1=-2/(-3)=2/3

L2 perpendicular to L1 => m2= -1/m1=  -3/2

the point A(8,5) ∈ L2

=> y–yA=m2(x–xA)

L2: y-5=-3/2 *(x-8)

L2: 2y-10=-3x+24

L2: 3x+2y=34

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Does the formula V = 4/3 pi r^3 represent a linear or nonlinear function? Explain.
Levart [38]
This is the volume of the sphere & is not at all a linear function.

A linear function of the form of y=kx (k is a given number/coefficient) where

y & x grow at the same rate. Then whatever the input (x) it will generate an output (y) always in the ration y/x, whereas v=4/3 πr³ (coefficient =k =4/3(π), if r increase by 2 units v will increase by 2³ =8 & for r = 3, v increase by 3³ =27.

In short v increases quicker than r. No it's not a linear function
6 0
3 years ago
Round 6.071981 to 3 significant figures
natita [175]

Answer:

6.071

Step-by-step explanation:

All non zero numbers are significant irrespective of where decimal point is

If zero is between to numbers it is significant irrespective of where decimal point is

5 0
3 years ago
Please answer this correctly
aleksklad [387]

Answer:

63.2 = y

Step-by-step explanation:

The perimeter is the sum of all the sides

P = 7.8+ y+37.6 + y

171.8 = 7.8+ y+37.6 + y

Combine like terms

171.8 = 45.4 + 2y

Subtract 45.4 from both sides

171.8-45.4 = 45.4 + 2y -45.4

126.4 = 2y

Divide each side by 2

126.4/2 = 2y/2

63.2 = y

6 0
3 years ago
An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table.
IrinaVladis [17]

For the statement "....A 4-column table with 3 rows. The first column has no label with entries internet, cable television, or total. The second column is labeled satisfied with entries ..." statement about the two-way frequency table that is true is  About one-fourth of the cable-television customers are not satisfied. Option D.

This is further explained below.

<h3>What is a two-way frequency table?</h3>

Generally,  A two-way table may be used to show the frequency of occurrence of two categories. A row represents a single category, whereas a column represents a different category.

In conclusion, There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

Read more about the two-way frequency table

brainly.com/question/12576014

#SPJ1

7 0
2 years ago
Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One t
Vinvika [58]

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

\frac{Sin(A)}{a}=\frac{Sin(B)}{b}

Upon substituting the given values of angle A, and sides a and b, we get:

\frac{Sin(75)}{2}=\frac{Sin(B)}{3}

Upon solving this equation for B, we get:

\Rightarrow 3Sin(75)=2Sin(B)\\  \Rightarrow Sin(B)=\frac{3Sin(75)}{2}\\  \Rightarrow Sin(B)=1.4488\\

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

7 0
3 years ago
Read 2 more answers
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