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2 years ago

Write the standard form of the equation of the circle with radius 7 and center (5,−7).

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

4 0

Answer:

$(x-5)^2+(y+7)^2=49$

Step-by-step explanation:

Use $(x-h)^2+(y-k)^2=r^2$ for the equation of a circle in standard form with radius $r$ and center $(h,k)$ . Therefore, the equation of the circle in standard form is $(x-5)^2+(y+7)^2=49$

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Three of the choices are ways to express 0.50. Which is NOT?

Ganezh [65]

Option B

5 hundredths is not the way to express 0.50

<h3><u>Solution:</u></h3>

Given that Three of the choices are ways to express 0.50

To find: wrong option

Let us first write 0.50 in different ways

<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...

Step 3: Simplify (or reduce) the fraction.

$\rightarrow 0.50 = \frac{0.50 \times 100}{100} = \frac{50}{100}$

$\frac{50}{100}$ means 50 hundredths

<h3>Therefore option D is correct</h3>

On simplifying $\frac{50}{100}$ we can write,

$\rightarrow \frac{50}{100} = \frac{5}{10} = \frac{1}{2}$

$\frac{1}{2}$ means one half

<h3>Therefore option A (one half) is correct</h3>

Similarly, \frac{5}{10} means 5 tenths

<h3>Therefore Option C is also correct</h3>

Thus the wrong option is B

<em><u>Justification:</u></em>

5 hundredths can be written as:

$\frac{5}{100} = 0.05$

Therefore option B is wrong

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2 years ago

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

To get the slope, we pick any two points and apply the slope formula

The slope formula is;

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To get the slope, we select any two points

That will be;

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Substituting these in the slope formula, we have:

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