What is the perimeter of the figure below?34 mm40 mm88 mm96 mmI probably doing

The lines that are perpendicular to 3x – y = 10. is option C (x+3y= 27).

Line equation:

3x - y = 10

y = 3x - 10

here slope m = 3.

perpendicular line slope = -1/m = -1/3

so the perpendicular line must have slope m = -1/3

A.  

y = 3x + 5

here slope m = 3

This line is not the perpendicular to 3x - y = 10 because here slope not equal to -1/3.

B.

y = -13x + 17

here slope m = -13

This line is not the perpendicular to 3x - y = 10 because here slope not equal to -1/3.

C.

x + 3y = 27

3y = -x + 27

y = -1/3(x) + 27/3

y = -1/3(x) + 9

here slope m = -1/3

This line is perpendicular to the 3x - y = 10 because here slope is equal to -1/3.

D.

y - 2 = 13(3x+36)

y = 39x + 468 - 2

y = 39x + 466.

here slope m = 39.

So this line is not the perpendicular to 3x - y = 10 because here slope not equal to -1/3.

Therefore the lines that are perpendicular to 3x – y = 10. is option C (x+3y= 27).

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3/12 is 1/4 in its simplest form

The expression is given

Simplify the expression

Hence the answer is

The Solution:

Given:

Required:

Determine the function of the given graph.

The required equation is:

Answer:

[option 2]

Given:

Coordinates (-3 , 2), (6 , 2), (6 , -4), (-3 , -4)

Required:

Area and Parameter

Explanation:

Formula to find the distance between two points

Distance between (-3 , 2), (6 , 2) and (6 , 2), (6 , -4)

Final Answer:

Answer:

13

Explanation:

The explicit formula of a sequence is given below:

When n=3

The 3rd term of the sequence is 13.

Given,

The principal amount is 20k.

The rate of interest is 8.3%.

The time period is 6 Years.

Required

The amount of investment after 6 years.

The amount is calculated as,

Hence, the amount after 6 years is 2000 x (1 + 0.083)^6.

We will solve as follows:

So, the solution is 7b + 86.

Answer:

2 translation vectors.

Step by step explanation:

You have to move a rook from the green circle to the blue one.

Then you have to represent series of the translation vector

You should know that the tower only moves horizontally or vertically.

You first move it 4 blocks to the right

Then you move 4 blocks up.

7x + 2y = -8 Equation 1.

8y = 4x​ Equation 2.

We solve for y in eq. 2; as follows:

y = 4x/8.

Now we replace y on eq. 1:

7x + 2(4x/8) = -8

7x + x = -8

8x = -8

x = -8/8

x = -1

Finally we replace x on eq 2:

8y = 4(-1)

8y = -4

y = -4/8

y = -1/2

The selling price of this hair clip will be $ 1.50.

Cost price of the clip is = $ 0.50

Markup price = 200 percent

Mark up price = 200 % of 0.5

Mark up price = 200 / 100 × 0.50

Mark up price = 2 × 0.50

Mark up price = $ 1

Selling price of the product will be:

SP = $ 0.50 + $ 1

SP = $ 1.50

Therefore, we get that, the selling price of this hair clip will be $ 1.50.

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Your question was incomplete. Please refer the content below:

The cost to manufacture a hair clip is $0.50. With a markup of 200 percent, what is the selling price of this hair clip?

You have the following equation:

4x - 3 = 2x + 5

In order to solve the previous equation, proceed as follow:

4x - 3 = 2x + 5 subtract 2x both sides

4x - 2x - 3 = 5 add 3 both sides

4x - 2x = 5 + 3 simplify like terms

2x = 8 divide by 2 both sides

x = 8/2

x = 4

Hence, the solution to the given equation is x = 4

the equation will be

-x - y = 7

The data that represent the number of flying saucers that are owned by each alien on planet nowhere is given below:

(a)We sort the data from the least to greatest below.

(b)The median is the middle number.

In this case, we have two numbers in the middle: 4 and 8

Therefore we find their average:

Answer:

6 is the correct answer.

Step-by-step explanation:

You have the following function:

f(x) = (x + 1)²

In order to determine the value of f(2) you replace the value x = 2 in the given function and make the operations, just as follow:

f(2) = (2 + 1)² simplify inside parenthesis

f(2) = (3)² 3² is the same as 3x3=9

f(2) = 9

Hence, the value of the function when x = 2 is f(2) = 9

To solve this problem, consider the following picture

By the tangent secant segment theorem we have the following equation

Note that in our case, we have a=x, b=3 and c=9. So if we replace this values in the equation, we have

so, applying the square root on both sides, we get

Since x is a distance, it should be strictly positive, so we have that

The end of the spring is below equilibrium in terms of seconds, t, since the spring was released is D(t) = 17([tex]0.957^{t}[/tex])cos(28πt)

A state of balance between opposing forces or actions that is either static (as in a body acted on by forces whose resultant is zero) or dynamic (as in a reversible chemical reaction when the rates of reaction in both directions are equal).

Given that, a spring is attached to the ceiling and pulled 17 cm down from equilibrium and released. After 3 seconds, the amplitude has decreased to 13 cm. The spring oscillates 14 times each second.

Amplitude begins at 17 cm, [tex]A_{0}[/tex] = 17 cm

The amplitude decreases by 13/3 = 4.33 per second = 0.043%

The amplitude function can be then modelled as =

A(t) = [tex]A_{0}[/tex][tex](1-0.043)^{t}[/tex]

A(t) = [tex]A_{0}[/tex][tex]0.957^{t}[/tex]

The spring oscillates 14 times each second, therefore,

T = 1/14

2π/B = 1/14

B = 28π

The graphical equation is;

D(t) = [tex]A_{cos}[/tex](Bt-C)+D

Horizontal shift = 0

Vertical shift = 0

Hence, The end of the spring is below equilibrium in terms of seconds, t, since the spring was released is D(t) = 17([tex]0.957^{t}[/tex])cos(28πt)

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f(x) = 5x²+10

Given the function g(x) expressed as:

If the function g(x) is translated vertically upward by 3 units to produce f(x), the resulting translation used will be given as:

Substitute the function g(x) into the translation rule to have:

Therefore the expression for f(x) is 5x²+10

Answer:

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

Let the first term be a and common difference be d.

The explicit rule is a(n) = - 95 + 5 · (n - 1), whose recursive rule is [tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 5. The 30th element of the arithmetic sequence is 50.

Arithmetic sequences are sets of elements generated by a formula of the form:

a(n) = a + r · (n - 1), for n ≥ 1

Where:

Please notice that the common rate is the difference between any two consecutive elements of the sequence. The recursive form is described by the following form:

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + r

Now we should determine the elements of the explicit rule by solving the following system of linear equations:

n = 18

- 10 = a + r · (18 - 1)

a + 17 · r = - 10

n = 40

100 = a + r · (40 - 1)

a + 39 · r = 100

Then, we solve the system of linear equations by numerical methods:

(a, r) = (- 95, 5)

And the 30th element of the arithmetic series:

a(n) = - 95 + 5 · (n - 1)

a(30) = - 95 + 5 · (30 - 1)

a(30) = 50

And the recursive form is [tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] + 5.

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We would find the volume of the ice cream contained in the cone by applying the formula for determining the voume of a cone which is expressed as

Volume = 1/3 x pi x radius^2 x height

From the information given,

height = 10

radius = 4

pi is a constant whose value is 3.142

Thus,

Volume = 1/3 x 3.142 x 4^2 x 10

Volume = 167.57

rounding to the nearest whole number,

Volume = 168 cubic cm

For Barazal and 6 persons the cost is $245

So, the number of persons = 7

so, the cost per person = 245/7 = $35

So

the guided tour cost per person = $35

Let's take this, step by step.

First step:

Rotate the coordinate 180 degrees about the origin.

When a 180 degrees rotation about the origin is performed the coordinates (x, y) changes to (-x, -y)

Thus, P(3, -4) changes to P'(-3, 4)

Second Step:

Perform a translation of (x, y+2)

P'(-3,4) = P''(-3, 4+2) = P''(-3, 6)

Third step:

Perform a dilation of 2.

P''(-3, 6) = P'''(-3*2, 6*2) = P'''(-6, 12)

We can see that,

P(3, -4) while P'''(-6, 12)

Therefore, P and P''' do not have the same coordinates

a piecewise function​

x+ 4 , if -4 ≤x <3

. 3 ≤ x < 6

Then ,answer is [ -4,6)

We have a right triangle and we have to write some of the trigonometric ratios.

A trigonometric ratio relates a trigonometric function of an angle of the tiangle with a quotient of two of the sides of the triangle.

The basic trigonometric ratios are:

We can also write the trigonometric ratio for the tangent:

Now, we can write sin(x):

The opposite side to X is YZ and the hypotenuse is XZ, so sin(X) = YZ/XZ = 12/15.

In the same way, we can calculate cos(x):

The tan(x) can be calculated as:

For Z, the opposite and adyacent angles are different than for X, so we can write:

Answer:

sin(X) = 12/15

cos(X) = 9/15

tan(X) = 12/9

tan(Z) = 9/12

One featue of the equation is that when c = 0

The other feature is that when v = 0

Therefore, our graph must contain the points (0, 13.33) and (20, 0), and looking at the graph given we see that it has exactly those points; hence, the graph represents the equation given

Increasin function:

f(x) = a^x

Where a must be greater than 1:

A. 1/15 = 0.06 NO

B. 5 YES

C. 1/5 NO

D. 0.5 NO

Correct option B.5

5>1

We will use the equivalency:

Then, if we have an area of 32 m^2, we can multiply this value by the equivalency factor we wrote (as it is equal to 1) as:

Answer: the area is 344.48 sq ft.

Rebecca had $100

and each week, she add $45

Let the number of weeks is x

So, after x weeks, she will have y

y = 100 + 45x

See the following figure:

After 5 weeks, y = 100 + 45 * 5 = 325

============================================

After 1 week , y = 145

after 2 weeks , y = 190

after 3 weeks , y = 235

and so on

So, The savings account balance can be shown by a sequence.

The sequence will be: 145 , 190 , 235 , 280 , .......

The kind of this sequence will be arthimatic sequence , because there is a common defference between the terms of the sequence which = 45

SOLUTION:

Step 1:

In this question, we are given the following:

If two planes leave an airport at the same time with one flying west at 520 miles per hour and the other flying east at 540 miles per hour,

how long will it take them to be 3180 miles apart?

Step 2:

Let the distance of one of the planes flying west at 520 miles per hour be:

And let the distance of the other plane flying east at 540 miles per hour be:

where x , represents the time of flight in hours, such that:

CONCLUSION:

The time it will take them to be 3180 miles apart will be in 3 hours' time.

For this problem we have the following expression given:

Since any number multiplied by 0 is 0 then our expression becomes:

And since we have two terms we can categorize the expression as a binomial.