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1 year ago

Write a equation of a line perpendicular to the line below in point-slope from that passes through the point (-2,6)

Mathematics

1 answer:

STatiana [176]1 year ago

6 0

Answer:

Option 1: $y-6=-4(x+2)$

Step-by-step explanation:

Find the slope of the perpendicular line by finding the negative reciprocal of the original slope. (Negative reciprocal = flip upside down and add a negative). So we get -4 for the perpendicular slope.

Next, we know the point (-2,6) is on the line, so we can get x=-2 and y=6.

Plug this into point-slope form: $y_{1}-y_{2}=m(x_{1}=x_{2})$

$y_{1} - (6)=-4(x_{1}-(-2))$

$y-6=-4(x+2)$

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Taryn is measuring ribbon to make decorations for a fall party. She needs

elixir [45]

Answer:

19 2/3

Step-by-step explanation:

32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.

5 0

1 year ago

An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 8 times orexactly 5 times?

Kitty [74]

Answer:

Probability to get tails exactly 8 times or exactly 5 times is 0.29

Step-by-step explanation:

No of ways the coins lands tails exactly 8 times

P(8) = 15C8 × $0.5^{8}$ × $0.5^{15-8}$

No of ways the coin lands tails exactly 5 times

P(5) = 15C5 × $0.5^{5}$ × $0.5^{15-5}$

Probability to get tails exactly 8 times or 5 times

P(8)+P(5) = 15C8 × $0.5^{15}$ + 15C5 × $0.5^{15}$

P = $0.5^{15}$ ( 15C8 + 15C5 )

P = $0.5^{15}$ ( ( $\frac{15!}{8!(15-8)!}$ ) + ( $\frac{15!}{5!(15-5)!}$ ) )

P = $0.5^{15}$ ( 6435 + 3003 )

P = $0.5^{15}$ ( 9438)

P = $0.5^{14}$ ( 4719)

P = $\frac{4719}{16384}$

P = 0.29

8 0

2 years ago

Which expression is equivalent to 4h ÷ 5?

Tom [10]

Answer: 4h/5

Step-by-step explanation:

4 0

2 years ago

Evaluate: a) n!/(n-3)!<br>b) P(6,4)/4!

telo118 [61]

Step-by-step explanation:

a).

n! is

$n(n - 1)(n - 2)(n - 3)(n - 4).........(1)$

(n-3)! is

$(n - 3)(n - 4)(n - 5)..........(1)$

If we divide the two, everything behind (n-3) will just cancel out so we would be left with only

$(n)(n - 1)(n - 2)$

So the answer to a is

$n(n - 1)(n - 2)$

Permutations formula of P(6,4) is

6!/(6-4)!, or 6!/2!.

$\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = 360$

Then we divide by 4!

$\frac{360}{4 \times 3 \times 2 \times 1} = 15$

The answer to b is 15

3 0

1 year ago

Select the correct expressions. 1 Identify each expression that represents the slope of a tangent to the curve y= * +1 at any po

Olegator [25]

The expressions which represents the slope of a tangent to the curve $y=\frac{1}{x+1}$ at any point (x, y) are:

$f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}$

<h3>The slope of a tangent to the curve.</h3>

Mathematically, the slope of a tangent line to the curve is given by this equation:

$f'(x) =limh \rightarrow 0\frac{f(x+h)-f(x)}{h}$

Given the function:

$f(x)=y=\frac{1}{x+1}$

When (x + h), we have:

$f(x+h)=y=\frac{1}{x+h+1}$

Next, we would find the derivative of f(x):

$f'(x) =limh \rightarrow 0\frac{\frac{1}{x+h+1} -\frac{1}{x+1}}{h}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -(x+h+1)}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{x+1 -x-h-1}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{h(x+1)(x+h+1)}\\\\f'(x) =limh \rightarrow 0\frac{-h}{x^2h+2xh+xh^2+h^2 +1}\\\\f'(x) = \frac{-1}{(x+1)(x+1)} \\\\f'(x) = \frac{-1}{(x+1)^2}$

Read more on slope of a tangent here: brainly.com/question/26015157

#SPJ1

5 0

1 year ago