Draw a figure that has 5 sides and exactly 1 line of symmetry.

d1i1m1o1n [39]

Answer:

1/5 and 9/4

Step-by-step explanation:

Reciprocal is basically the vertically flipped version of the original number. To find the reciprocal, rewrite the numbers in fractions and then swap the numerator and the denominator. So 5/1 becomes 1/5, 4/9 becomes 9/4.

6 0

2 years ago

Read 2 more answers

Work out the surface area of 8,6,2

sesenic [268]

to work out the surface area just multiply all

8x6x2 = 96

(depends on the shape given )

8 0

3 years ago

Read 2 more answers

Suppose g(x) = f(x) + k. Identify a value of k that transforms f into g.

ArbitrLikvidat [17]

Answer:

$k = 5$

Step-by-step explanation:

Given

$g(x) = f(x) + k$

Required

Determine the value of k

First, we need to determine the equation of g(x)

Start by calculating the slope (m)

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

Where x and y are two corresponding values:

$(x_1,y_1) = (1,1)$

$(x_2,y_2) = (0,-3)$

The slope (m) is:

$m = \frac{-3- 1}{0 - 1}$

$m = \frac{-4}{- 1}$

$m = 4$

The equation is calculated using:

$y - y_1 = m(x - x_1)$

Where

$m = 4$ and $(x_1,y_1) = (1,1)$

$y - 1 = 4(x - 1)$

$y - 1 = 4x - 4$

Make y the subject of formula

$y = 4x - 4 + 1$

$y = 4x - 3$

So:

$f(x) = 4x - 3$

Next, we determine the equation of f(x)

Start by calculating the slope (m)

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

Where x and y are two corresponding values:

$(x_1,y_1) = (-1,-2)$

$(x_2,y_2) = (0,2)$

The slope (m) is:

$m = \frac{2- (-2)}{0 - (-1)}$

$m = \frac{2+2}{0+1}$

$m = \frac{4}{1}$

$m = 4$

The equation is calculated using:

$y - y_1 = m(x - x_1)$

Where

$m = 4$ and $(x_1,y_1) = (-1,-2)$

$y - (-2) = 4(x - (-1))$

$y + 2 = 4(x +1)$

$y + 2 = 4x +4$

Make y the subject of formula

$y = 4x + 4 - 2$

$y = 4x + 2$

So:

$g(x) = 4x + 2$

Recall that

$g(x) = f(x) + k$

Make k the subject

$k = g(x) - f(x)$

Substitute values for g(x) and f(x)

$k = 4x + 2 - (4x - 3)$

$k = 4x + 2 - 4x + 3$

$k = 4x - 4x+ 2 + 3$

$k = 5$

6 0

3 years ago

Your school is raising money for a non-profit organization. The local chapter of the non-profit organization keeps 80% of the mo

Akimi4 [234]

Answer:

The amount of money donated by each friend is $16

Step-by-step explanation:

The given parameters are;

The percentage of the money raised that is kept with the local chapter = 80%

The percentage of the money raised that goes to the national chapter = 20%

The amount of money donated by each of the four friends = Equal amount each

The total amount of the money raised for the local chapter of the non-profit = $51.20

Let x represent the amount of money donated by each of the four friends

Therefore, we have;

80% of 4 × x = 51.20, which gives;

80/100 × 4 × x = 51.20

0.8 × 4 × x = 51.20

x = 51.20/(0.8 × 4) = 16

The amount of money donated by each friend = x = $16.

7 0

3 years ago

If f(x)=3x-2 and g(x)=x2+1 find (f+g)(x)

miv72 [106K]

<u>Answer: </u>

The value of (f+g) x= $x^{2}+3 x-2+1$

<u>Solution: </u>

From question given that f(x)=3x-2 --- eqn 1(1)

And $g(x)=x^{2}+1$ --- eqn 2

We need to calculate (f+g)x

Since (f+g)x=f(x)+g(x) --- eqn (3)

On substituting the value of f(x) and g(x) in equation (3) using equation (1) and (2),

$(f+g) x=3 x-2+x^{2}+1$

Rewrite the above term,

$(f+g) x=x^{2}+3 x-1$

On simplifying the above term,

$(f+g) x=x^{2}+3 x-1$

Hence value of (f+g) x= $x^{2}+3 x-2+1$

8 0

2 years ago