Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
OA. y- 4 - 3(x+2)
OB. y+2 = 3(x- 4)
OC. y-2 - 3(x- 4)
OD. y- 4 - 3(x- 2)

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    [tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]

Answer:

3785 + 259d

Step-by-step explanation:

cost of food booths = 16 * (100 + 9d) = 1600 + 144d

cost of game booths = 23 * (95 + 5d) = 2185 + 115d

total = 1600 + 2185 + 144d + 115d = 3785 + 259d

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Answer:

Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.

The answer is 36 degrees.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did

Answer:

Step-by-step explanation:

There are 12 inches in one foot so the equivalent ones are:

1 to 12

This shows that there are 12 inches in one foot so is equivalent.

5 to 60

5/60 = 1/12

This is equivalent because it shows that 12 inches are required to make a foot.

9 to 108

9/108 = 1/12

This is also equivalent for the same reasons as above.

Answer:

Step-by-step explanation:

4n-3=-2n+9, we move the variables in one side and numbers on the other side

4n+2n=9+3

6n=12

divide by 2

n=2

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

Answer:

[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]

Answer:

the third side must be greater than 6 but less than 16

Step-by-step explanation:

use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)

5 + 11 > 3rd side (n)    n < 16

5 + n > 11       n > 6

11 + n > 5;   n > -6   discounted

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

Answer:

I know for a fact that it is Devide by nagative 5

Step-by-step explanation:

Answer:

$ 6.43

Step-by-step explanation:

Answer:

She gets back $6.43 dollars as change

Step-by-step explanation:

If you add 20 and 10 you get 30, and if u subtract 23.57 from 30 like this, 30.00 - 23.57

       30.00                         29.99                  

    -  23.57                     -   23.57

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

                                          06 .42

Hope this help :)

Answer:

y>-9/4

use this site too, put in an any equation itll solve it in a second and give you a step by step thing to show you how to do it.

The mean of the data is 18 and the missing statement is x = 24

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data be represented as A

Now , the value of A = 16 , 10 , 22 , x

Let the mean of the data be M = 18

To find the mean of the data set, we need to add up all the numbers and divide by the total number of numbers:

(16 + 10 + 22 + x) / 4 = 18

We can simplify this equation by multiplying both sides by 4 to get rid of the fraction:

16 + 10 + 22 + x = 72

Now we can solve for x by subtracting the three known numbers from both sides:

x = 72 - 16 - 10 - 22

x = 24

Therefore, the number that could be put in the blank to make the statement true is 24

To learn more about mean click :

https://brainly.com/question/15526777

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Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

Answer:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps

Answer:

The first brother is 16, the second brother is 8 and the third brother is 4.

Step-by-step explanation:

Since the sum of all the brothers  is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.

Answer:

55

Step-by-step explanation:

Answer: D.)

Step-by-step explanation:

40*5=200, This is Brians total $'s

1,300-200=1,100, This is Rebeccas total $'s

1,100/20= 55, This is the total hours worked.

Answer:

3. is 5

4. is 18

5. is 8

Step-by-step explanation:

i did try so forgive me if im wrong

Answer:

The correct option is;

A. It is a one-to-one function

Step-by-step explanation:

A function f(x), is a one to one function when each value in the range is given by each unique value in the domain such that each "x" value produces a unique "y" value.

The given graph has a domain of -2 ≤ x < ∞

Within the domain plotted in the graph, all lines with equation "x" = -2, -1, 0..., 4, 5 crosses the graph only once, therefore, for each value of "x", there is only one value of "y", which gives the relationship between the "x" and "y" values as one to one function

Answer:

Both are circle equations. One is for area, one is for circumference.

Step-by-step explanation:

Both are circle equations. One is for area, one is for circumference.

Answer: Add the 1/3 to look for the r

Answer:

linear equation

Step-by-step explanation:

it's the only one that matches the description :)

Answer:

4,-2

Step-by-step explanation:

The line passes through the Y Axis and slopes 4 and -2.

Answer:

slope = - [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂,y₂ ) = (1, - 3) ← 2 points on the line

m = [tex]\frac{-3-4}{1+3}[/tex] = - [tex]\frac{7}{4}[/tex]

Answer:

$3701.45. I hope this helps :)

Step-by-step explanation:

Answer: The answer is 8

Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.

Answer: 60 mph

Step-by-step explanation:

Question wants the speed to the lake.

It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.

It took him 6 hours to come back.

Assuming the speed James used on the return trip is x:

Expression for distance is:

4(x + 20) = 6x

4x + 80 = 6x

2x = 80

x = 80/2

x = 40 mph

Speed to the lake = 40 + 20

= 60 mph