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gogolik [260]
3 years ago
15

Write the equation of circle with diameter of 10 units centered at (- 2, 1) .

Mathematics
1 answer:
kvasek [131]3 years ago
7 0

Answer:

(x+2)^2 + (y-1)^2 = 25

Step-by-step explanation:

We want to write the equation of a circle with a diameter of 10 units centered on (-2, 1).

Recall that the equation of a circle has the standard form:

(x-h)^2 + (y-k)^2 = r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our diameter is 10, our radius is 5.

And since the center is at (-2, 1), <em>h</em> = -2 and <em>k</em> = 1.

Substitute:

\displaystyle (x - (-2))^2 + (y - (1))^2 = (5)^2

And simplify. Hence, our equation is:

(x+2)^2 + (y-1)^2 = 25

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Answer:

B) 4 tablespoons of salt

Step-by-step explanation:

Here is the correct question: Scott used 1/3 tablespoons of salt to make 1/4 liters of beans. If Scott's recipe is for 1 liter of beans, how much salt will he need to make triple the recipe?

Given is the ratio of salt and beans to make recipe for 1 liter of beans.

Ratio given for 1 liters of beans; \frac{salt}{beans} = \frac{\frac{1}{3} }{\frac{1}{4} }.

Now, simplifying the ratio

\frac{\frac{1}{3} }{\frac{1}{4} }= \frac{1}{3} \times \frac{4}{1}

∴ Ratio for salt and bean in a recipe for 1 liter of beans is \frac{4}{3}.

Next, finding the proportion of salt to make triple the recipe.

Triple the recipe means 3 times of 1 liter of beans, which is 3 liters of beans.

∴ The proportion of salt in 3 liter beans= \frac{4\ tablespoon\ salt}{3\ tablespoon\ beans} \times 3\ lts\ of\ beans

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3 years ago
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What does 25 1/2 + 18 1/5 equal to?
umka21 [38]
<span>25 1/2 + 18 1/5
=</span><span>25 5/10 + 18 2/10
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4 years ago
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For this case we can use the Pythagorean theorem to solve the problem.
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The maximum number of integers is 27 that can be added together before the summation of the A.P. Series exceeds 401.

According to the statement

We have a given that the maximum sum of the positive integers is 400.

And we have to find the value of n which is a maximum number of integers by which the value of sum become 400.

So, to find the value of the n we use the

A.P. Series'Summation formula

According to this,

S = n (n+1)/2

Here the value of s is 401

Then

S = n (n+1)/2

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Learn more about maximum number of integers here brainly.com/question/24295771

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7 0
2 years ago
Bill receives 4% commission on sales up to $ 25,000 and 6% commission on additional sales. what commission bill does he get when
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3 years ago
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