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3 years ago

8

Determine the radius of the circle below.

1 answer:

alexira [117]3 years ago

6 0

Answer:

r = 22.629

Step-by-step explanation:

Using the Pythagorean theorem:

(35 + r)² = 53² + r²

1225 + 70r + r² = 2809 + r²

subtract r² from each side of the equation:

1225 + 70r = 2809

subtract 1225 from each side:

70r = 1584

r = 22.629

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What is the horizontal asymptote of f(x)=-2x/x+1<br> A.-2<br> B.-1<br> C.0<br> D.1

Mrrafil [7]

A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case,
$\lim_{x \to \infty} \frac{-2x}{x+1} = \lim_{x \to \infty} \frac{-2x}{x(1+ \frac{1}{x} )}\\
=\lim_{x \to \infty} \frac{-2}{1+ \frac{1}{x} }\\
= -2
$

Thus, the horizontal asymptote of f(x) is y = –2.

7 0

3 years ago

Read 2 more answers

Maggie has 4 3/5 of icing to decorate cakes for a bake sale. Each container will cover 20 1/4 in2. How many square inches will i

ExtremeBDS [4]

Answer:

$93\frac{3}{20} \ square \ inches$ .

Step-by-step explanation:

Given:

Maggie has 4 3/5 container of icing to decorate cakes for a bake sale.

Each container will cover 20 1/4 square inches.

Question asked:

How many square inches will it cover if she uses all of her icing ?

Solution:

Total number of container Maggie has = $4\frac{3}{5}$

Each container will cover = $20\frac{1}{4}$ square inches.

Now, we can find easily that how many square inches it will cover by using all of her icing by unitary method:

Each container will cover = $20\frac{1}{4}$

$4\frac{3}{5}$ container will cover = $20\frac{1}{4}\times4\frac{3}{5} =\frac{20\times4+1}{4} \times\frac{5\times4+3}{5} \$

$=\frac{81}{4} \times\frac{23}{5} =\frac{1863}{20} =93\frac{3}{20}\ square\ inches$

Thus, it will cover $93\frac{3}{20} \ square \ inches$ ,if she uses all of her icing.

7 0

3 years ago

IgorLugansk [536]

Answer:

10.35 miles in 1 hout

Step-by-step explanation:

I'm Sorry if this wrong.

5 0

3 years ago

What is the slope-intercept form of 3x +2y=1?

klasskru [66]

Answer:

y = (-3/2)x + 1/2

Step-by-step explanation:

Note that slope intercept form = y = mx + b

Change the given equation so it matches the form:

3x + 2y = 1

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. First, subtract 3x from both sides:

3x (-3x) + 2y = 1 (-3x)

2y = -3x + 1

Next, Divide 2 from both sides:

(2y)/2 = (-3x + 1)/2

y = (-3/2)x + 1/2

y = (-3/2)x + 1/2 is your answer.

~

7 0

3 years ago

Simplify the fraction 4t2-16/8/t-2/6

mr Goodwill [35]

Answer:

The simplify form of the provided expression is: $12t^2 - 6t - 1$

Step-by-step explanation:

Consider the provided expression.

$4t^2-\frac{16}{8}t-\frac{2}{6}$

Now simplify the above expression as shown below:

$4t^2-\frac{16}{8}t-\frac{2}{6}$

$4t^2-2t-\frac{2}{6}$ as 16/8 = 2

Now again simplify the above expression.

$4t^2-2t-\frac{1}{3}$ as 2/6 = 1/3

Now, multiply the whole expression with 3.

$3(4t^2-2t-\frac{1}{3})$

$12t^2 - 6t - 1$

Hence, the simplify form of the provided expression is: $12t^2 - 6t - 1$

4 0

3 years ago