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2 years ago

What is the exact area of a circle with a diameter of 10 cm? a. 5πcm^2 b. 10πm^2 c. 25πcm^2 d. 100πcm^2

Mathematics

1 answer:

dalvyx [7]2 years ago

4 0

Answer:

Step-by-step explanation:

a= $\pi$ r^2

To find the radius, divide the diameter by 2

r=d/2

r=10/2

r=5

a= $\pi$ r^2

a= $\pi$ 5^2

a=25 $\pi$

So, choice C is correct

Hope this helps! :)

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Can somebody please please help me I'm desperate!!!!!!

FromTheMoon [43]

You would have to solve this by Lxwxh.

25.4*19.05*76.2= 36870.89 centimeters

1 in= 2.54 centimeters

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I hope this is helpful :)

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3 years ago

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Solve for x in the equation x²-12x+59=0

lyudmila [28]

${x}^{2} - 12x + 59 = 0 \\ {x}^{2} - 12x + 36 + 23 = 0 \\ {x}^{2} - 12x + 36 = - 23 \\ {(x - 6)}^{2} = - 23 \\ x - 6 = + - \sqrt{ - 23} = + - i \sqrt{23} \\ x = 6 + - i \sqrt{23}$

mean

$x = 6 + i \sqrt{23}$

$x = 6 - i \sqrt{23}$

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2 years ago

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Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2? The graph mov

alexandr402 [8]

Answer:

Third option: The graph moves left 18 units.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is shifted up "k" units.

If $f(x)-k$ , the function is shifted down "k" units.

If $f(x+k)$ , the function is shifted left "k" units.

If $f(x-k)$ , the function is shifted right "k" units.

In this case, we can observe that graph of $y = (x - 9)^2$ is changed to $y = (x + 9)^2$

Since:

$-9+18=9$

We can conclude that the function $y = (x - 9)^2$ is shifted left 18 units to get the function $y = (x + 9)^2$ .

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2 years ago

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Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

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2 years ago

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In the figure below, the value of x is:<br> who ever show works gets brainlly

blondinia [14]

Answer:

d) x = 72°

Step-by-step explanation:

Corresponding Angles: The pair of angles formed on the same side of traversal which crosses two parallel lines is called a pair of corresponding angles.

These angles are EQUAL to each other.

Now, here in the given figure:

The two below lines are parallel to each other.

Also, the line crossing it on the right side forms a traversal.

So angle x and angle with 72 degrees form a pair of Corresponding Angles.

⇒ x = 72°

Hence the measure of angle x = 72°

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2 years ago