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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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A circle has a diameter of 3 m which statement about the circumference and area is true a comparison of the area and circumferen
Sveta_85 [38]

We conclude that the numerical value for the circumference is larger than the numerical value for the area.

<h3>What can we conclude about the area and the circumference?</h3>

Remember that for a circle of diameter d, the circumference is:

C = pi*d

And the area is:

A = pi*(d/2)^2

Where pi = 3.14

Here we know that d = 3m, replacing that in the above equations we get:

C = 3.14*3m = 9.42m\\\\A = 3.14*(3m/2)^2 = 7.065 m^2

While the units are different, we conclude that the numerical value for the circumference is larger than the numerical value for the area.

If you want to learn more about circles, you can read:

brainly.com/question/1559324

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5 0
2 years ago
What are the apparent coordinates of the midpoint of diagonal ac
scZoUnD [109]
The answer would be cb
5 0
4 years ago
When a machine is adjusted properly, 50% of the items it produces are good and 50% are bad. However, the machine is improperly a
Marta_Voda [28]

Answer:

Step-by-step explanation:

Probability of good given properly adjusted  P(G/P) = .5

Probability of bad given properly adjusted  P(B/P) = .5

Probability of inappropriately adjusted P(I ) = .1

Probability of properly adjusted P(P) = .4

Probability of good given inappropriately adjusted P( G/I ) = .25

Probability of bad given inappropriately adjusted  P(B/I ) = .75

P( G ) = P(G/P) x  P(P) + P( G/I ) x P(I )

P(P/G) = P(G/P) x  P(P)    /     P(G/P) x  P(P) + P( G/I ) x P(I )

=   .5 x .4  / .5 x .4 + .25 x .1

= .20 / .20 + .025

.20 / .225

20 / 22.5

= 4 / 4.5 .

= 8 / 9 .

6 0
3 years ago
Urgent please!!! I really don’t understand it, tysm to anyone who can answer thissss :))))
Tomtit [17]

Given:

The frequency distribution table.

To find:

The mean average score on a test.

Solution:

The frequency distribution table is

Marks (x_i)                   Frequency(f_i)                  f_ix_i

     x                                     a                               xa

     y                                     b                               yb

     z                                     c                               zc

  Sum                              a+b+c                          xa+yb+zc

Now, the mean average score on the test is

Mean=\dfrac{\sum f_ix_i}{\sum f_i}

Mean=\dfrac{xa+yb+zc}{a+b+c}

Therefore, the mean average score on the test is \dfrac{xa+yb+zc}{a+b+c}.

3 0
3 years ago
What is the value of y ?
ArbitrLikvidat [17]

Answer:

6

Step-by-step explanation:

Draw line segments ST and RQ. Triangle RUQ and SUT are similar, because they are in a circle. Now, you use similar triangles to get that QU/UT=RU/SU so 2 = 12/SU so SU = 6, or y = 6.


Note: This is generealized by the Power of a Point, which states that if you have two chords that intersect, then you can do the same thing and it will show that QU*SU=RU*TU. (You can change the variables but the similar triangles stay the same).

6 0
3 years ago
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