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The area of a circle is 153.86 square meters. What is the diameter of the circle? Use 3.14 for π. show you work.

MaRussiya [10]

The diameter is 49

you take 153.86 and divide it by 3.14

3 0

3 years ago

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2. X 0 4 7 10 13 y -5 -5 -5 -5 -5 Domain: ______________________ Range: _______________________ Function? _______

LenKa [72]

Answer:

$Domain =\{0,4,7,10,13\}$

$Range = \{-5\}$

$y = -5$ --- function

Step-by-step explanation:

Given

$\begin{array}{cccccc}x & {0} & {4} & {7} & {10} & {13} \ \\ y & {-5} & {-5} & {-5} & {-5} & {-5} \ \end{array}$

Solving (a): The domain

The x values represent the domain.

Hence, the domain is:

$Domain =\{0,4,7,10,13\}$

Solving (b): The range

The y values represent the range

Hence, the range is:

$Range = \{-5\}$

Solving (c): The function

By observation, we can see that for all values of x the value of y remains unchanged (-5)

Hence, the function is:

$y = -5$

6 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

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Find the area of a triangle whose sides are 12 cm 6 cm and 14 cm

natita [175]

Answer:

32

Step-by-step explanation:

add 12 + 6 + 14

8 0

3 years ago

Residents of the town of Maple Grove who are connected to the municipal water supply are billed a fixed amount monthly plus a ch

Strike441 [17]

9514 1404 393

Answer:

$0.04 per cubic foot
c(w) = 0.04w +80
3400 cubic feet

Step-by-step explanation:

(a, b) We are given two pairs of values:

(w, c) = (1900, 156) and (2600, 184)

so we can write the equation of the relationship using the 2-point form of the equation of a line.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

c = (184 -156)/(2600 -1900)(w -1900) +156 . . . . . substitute given points

c = 28/700(w -1900) +156

c(w) = 0.04w +80

The charge per cubic foot is $0.04.

__

(c) For a bill of $216, the amount of water used is ...

216 = 0.04w +80

136 = 0.04w

3400 = w

Use of 3400 cubic feet of water would lead to a bill of $216.

4 0

3 years ago