Measure of an interior angle of a regular pentacontakaitrigon

Please help me w this an explain how you got it!.

pishuonlain [190]

Answer:

Vertex → (2, 4)

Step-by-step explanation:

Quadratic equation has been given as,

y = -x² + 4x

We rewrite this equation in the form of a function as,

f(x) = - x² + 4x

By comparing this equation with the standard quadratic equation,

y = ax² + bx + c

a = -1 and b = 4

Vertex of the parabola represented by this equation is given by $[-\frac{b}{2a}, f(\frac{-b}{2a})]$

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

= 2

y-coordinate = f(2)

= - (2)² + 4(2)

= -4 + 8

= 4

Therefore, vertex of the given function is (2, 4)

6 0

2 years ago

The exchange rate for converting units of currency X (x) to units of currency Y (y) was y = 1.05x.

Luba_88 [7]

a) For 900 units of currency X, at an exchange rate of y = 1.05x, you could get <u>945 of currency Y.</u>

b) The inverse function is x is <u>0.9524y</u> and it represents the conversion of units of currency Y to units of currency X.

c) For 46 units of currency Y, at the exchange rate of x = 0.9524y, you could get <u>43.81 of currency X</u>.

<h3>What is an exchange rate?</h3>

An exchange rate is a value that a currency has with another.

The exchange rate shows the proportion or ratio at which two currencies are exchanged.

<h3>Data and Calculations:</h3>

The exchange rate of X (x) to Y 9y) is y = 1.05x.

For 900 units of currency X, you could get 945 of currency Y (1.05 x 900)

The inverse function is x = 0.9524y (900/945)y

For 46 units of currency Y, you could get = 43.81 of currency X (0.9524 x 46).

Learn more about exchange rates at brainly.com/question/4711402

#SPJ1

4 0

1 year ago

The circumference of Fis 120 cm. What is the length of DË (the minor<br> arc)?

Afina-wow [57]

Answer:

15cm

Step-by-step explanation:

Let x be the arc circumference.

The circumference of a circle usually subtends to 360°, that is, one complete revolution is 360°.

#Given the arc angle as 45° and the circumference as 120cm, the arc circumference can be obtained as:

#Apply proportions to find x:

$360\textdegree=120cm\\45\textdegree=x\\\\x=(120/360)\times 45\\\\x=15cm$

Hence, the arc circumference is 15cm

6 0

3 years ago

How can the additive inverse be used to evaluate the problem below?

lesya [120]

HEYAA!!!!!

OPTION D

To get the additive inverse of a positive number you put a minus in front of it and to get the additive inverse of a negative number, you remove the minus to make it a positive number.

because when u see the equation u can see it is -3-(-6)

which if u solve it the answer is -3+6= 3

so the correct option is

HOPE U UNDERSTOOD

THANKS

PLZ MARK AS BRAINALIAST

5 0

3 years ago

Read 2 more answers

Write an equation for the line that passes through the points (4,8) and (6,2)

Ronch [10]

Answer:

The equation for the line that passes through the points (4,8) and (6,2)

is y + 3 x -20 = 0

Step-by-step explanation:

Here, the given points are (4,8) and (6,2)

So, the slope of the equation joining two points is $m = \frac{y_2- y_1}{x_2 - x_1} = \frac{2-8}{6-4} =\frac{-6}{2} = -3\\$

⇒Slope of the given line is m = -3

Now, by POINT SLOPE FORMULA:

Equation of a line is (y - y0) = m (x-x0)

Here, equation of the line with (x0, y0) = (6,2) is

y - 2 = (-3)(x - 6)

or, y -2 = -3x + 18

⇒ y+ 3x -20 = 0

Hence, the equation for the line that passes through the points (4,8) and (6,2) is y+ 3x -20 = 0

8 0

3 years ago