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romanna [79]
3 years ago
6

write an equation of the line passing through the point (6,3) that is perpendicular to the line 5x - 6y = 10​

Mathematics
1 answer:
Jlenok [28]3 years ago
3 0

Answer:

5x-6y-12=0

Step-by-step explanation:

...make y the subject y=-6/5x +2

...use the coefficient of x as the gradient,m=-6/5

...for a perpendicular line,find the negative reciprocal of the gradient,5/6

...sub into the eqn y= -1/m(x-a)+b

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If $120.00 is borrowed for 3 years at 5% how much interest will be generated by the end of the loan? please answer will mark bra
Doss [256]

Answer:

I = prt / 100

120x3x5 / 100

= 18

6 0
3 years ago
How many handshakes are possible at a party of 65 people if everyone shakes hands once?
riadik2000 [5.3K]
You must calculate how many ways can 2 people be selected from 65.
The formula is:
n! / r! * (n-r)! =
65! / 2! * 63! =
65*64*63! / 2 * 63! =
65*64 / 2 =
2,080 handshakes

Source:
http://www.1728.org/combinat.htm




7 0
3 years ago
Let x^2+15x=49
Slav-nsk [51]
<span>x^2 + 15x + 56.25 = 105.25

    "Completing the square" is one of many different techniques for solving a quadratic equation. What you do is add a constant to both sides of the equation such that the lefthand side can be factored into the form a(x+d)^2. For instance, squaring (X+D) = X^2 + 2DX + D^2. Notice the 2DX term. That is the same term as the 15x term in the problem. So 2D = 15, D = 7.5. And D^2 = 7.5^2 = 56.25.
So we have
 x^2 + 15x + 56.25 = 49 + 56.25
 Which is
 x^2 + 15x + 56.25 = 105.25
  Which is the answer desired.

   Now the rest of this is going beyond the answer. Namely, it's answering the question "Why does complementing the square help?" Well, we know that the left hand side of the equation can now be written as
 (x+7.5)^2 = 105.25

   Now take the square root of each side
 (x+7.5) = sqrt(105.25)

   And let's use both the positive and negative square roots.
So x+7.5 = 10.25914226
 and
 x+7.5 = -10.25914226

   And let's find X.
 x+7.5 = 10.25914226
 x = 2.759142264

   x+7.5 = -10.25914226
 x = -17.75914226

   So the roots for x^2 + 15x - 49 is 2.759142264, and -17.75914226</span>
3 0
3 years ago
Read 2 more answers
Write 4x2(–2x2 + 5x3) in standard form. Then classify it by degree and number of terms.
umka2103 [35]
20x^5-8x^4 polynomial of the 5th degree, with two terms.

Distribute 4x^2(–2x^2 + 5x^3) to get –8x^2 + 20x^5. Reorder in standard form 20x^5-8x^4.  5 is the highest exponent so it is the 5th degree, there are two terms because terms are separated by a plus or minus.
3 0
3 years ago
Help! I don’t understand this
Papessa [141]

Answer:

1/2

Step-by-step explanation:

A sample space is a collection or a set of possible outcomes of a random experiment.

I have created the sample space for these data and attached it.  As you can see there are 16 possible outcomes.

To find the probability that the total showing is greater than 9, simply identify the number of values in the sample space that are greater than 9.

(I have highlighted these in yellow).

Therefore, P(X>9) = 8/16 = 1/2

8 0
2 years ago
Read 2 more answers
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