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3 years ago

What is the distance between point (3,2) and line y=1/4x-9

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

Answer:

9.94

Step-by-step explanation:

y = $\frac{1}{4}$ x - 9

y - 2 = - 4(x - 3)

y = - 4x + 14

- 4x + 14 = $\frac{1}{4}$ x - 9

16x - 56 = - x + 36

17x = 92

x = $\frac{92}{17}$

y = (-4) $\frac{92}{17}$ + 14 = - $\frac{368}{17}$ + $\frac{238}{17}$ = - $\frac{130}{17}$

(3, 2) , ( $\frac{92}{17}$ , - $\frac{130}{17}$ )

d ≈ 9.94396

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Margo missed 24.6% of the free throw shots in a season During the season she took a total of 90 free throw shots. Which, of the

adoni [48]

Answer:

C. 22

Step-by-step explanation:

The problem statement tells you ...

missed = 24.6% × 90

= 0.246 × 90 = 22.14

The best estimate among the answers given is 22, choice C.

_____

Comment on the problem statement

The percentage given is supposedly computed from the number of shots attempted and missed this season. The ratio 22/90 would give a percentage rounded to 24.4%, not 24.6%.

24.4% of 90 is 21.96, closer to 22.

7 0

3 years ago

What is the value of x for 3x + 10=2x – 1 ?

kap26 [50]

Answer:

-11

Step-by-step explanation:

3x+10=2x-1

3x-2x+10=-1

x+10=-1

x=-1-10

x=-11

5 0

3 years ago

Read 2 more answers

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KiRa [710]

Answer:

1. n + 7 ≤ 9

2. 3w < 18

3. 3 < s + 4

4. 4 ≥ x/2.1

7 0

1 year ago

1) Factor the expression and use the fundamental identities to simplify. There is more than one correct form of the answer.

Art [367]

Answer:

Step-by-step explanation:

1) 6 tan2x − 6 tan2x sin2x

= $6tan2x(1-sin2x)\\= 6tan2x (sin^2 x + cos^2 x -2sinx cosx)\\= 6tan2x (sinx+cosx)^2\\$

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4 0

3 years ago

Find two complex numbers whose sum is 12 and whose product is 37.

jeka57 [31]

Answer:

6 ± i and 6 ± i

Step-by-step explanation:

Let x be the first number.

Let y be the second number.

x + y = 12

x × y = 37

Solve for x in the first equation.

x = 12 - y

Put x as 12-y in the second equation and solve for y.

(12- y)y = 37

12y - y² = 37

- y² + 12y - 37 = 0

y = 6 ± i

Put y as 6 ± i in the first equation and solve for x.

x + 6 ± i = 12

x = 12 - 6 ± i

x = 6 ± i

8 0

3 years ago