PLEASE HELP ITS DUE SOON! I DONT GET ANY OF THIS! HELP WOULD BE MUCH APPRECIATED! NEED THIS DONE BEEN STUCK ON THIS FOR WAY TO LONG!
YOU WILL GET 100 POINTS IF YOU HELP! QUESTION DOWN BELOW!!!!!

The equation of the line perpendicular to y = - (2 / 3) · x and the point (4, - 8) is y = (3 / 2) · x - 14.

Mathematically speaking, lines are represented by equations of the form y = m · x + b, where m and b are the slope and the intercept of the line. Additionally, two lines are perpendicular to each if the product of their slopes is equal to - 1.

First, we determine the slope of the perpendicular line:

m' = - 1 / m

m' = - 1 / (- 2 / 3)

m' = 3 / 2

Second, the intercept of the perpendicular line is:

b = y - m · x

b = - 8 - (3 / 2) · 4

b = - 8 - 6

b = - 14

Then, the equation of the perpendicular line is y = (3 / 2) · x - 14.

To learn more on perpendicular lines: https://brainly.com/question/17565270

#SPJ1

1. 3x - 4 = 23

add 4 to both sides

3x - 4 + 4 = 23 + 4

3x = 27

Divide both sides by 3

3x/3 = 27/3

x = 9

2. 9 -4x = 17

subtract 9 from both sides

9 -9 -4x = 17 - 9

-4x = 8

Divide both sides by -4

-4x/-4 = 8/-4

x = -2

3. 6(x-7) = 36

Divide both sides by 6

x -7 = 6

add 7 to both sides

x - 7 + 7 = 6 + 7

x = 13

4. 2(x-5) -8 = 34

Expand

2x -10 -8 = 32

2x - 18 = 32

2x = 32 + 18

2x = 50

Divide both sides by 2

x =25

A ski trip requires a lot of planning.You must choose your travel dates, choose the ideal location, identify the best ski resorts for your family in the area, book lodging, purchase lift tickets, schedule lessons, consider your equipment and clothing needs, and possibly book flights or a rental car.

Describe the possible effects that traveling to a ski resort might have on travel time?

     To learn more about ski resort refer

    https://brainly.com/question/14279181

     #SPJ13

The inequality is lies between the 5.26 < 5.71

The correct option is (a)

Given,

From the figure,

To see the number line and determine the which of the expression is true.  

What is Inequality?

Inequality is defined as an equation that does not contain an equal sign.

Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The number line goes from 5.0 to 6.0 with 9 labeled marks in between.

Each mark increases by point one

There are five labeled points.

A point labeled 5.04 is between 5.0 and 5.1.

A point labeled 5.26 is between 5.2 and 5.3.

A point labeled 5.4 is at the mark labeled 5.4

A point labeled 5.520 is between 5.5 and 5.6.

A point labeled 5.71 is between 5.7 and 5.8.

Then the ascending order of the number line will be :

5.04 < 5.26 < 5.4 < 5.52 < 5.71

Hence, The correct option is (a)i.e., 5.26 < 5.71

Learn more about Number line at:

https://brainly.com/question/13425491

#SPJ1

If the area of a trapezoid is A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex], then the equation represents the value of [tex]b_{1}[/tex] is [tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

The trapezoid is a quadrilateral with at least one pair of parallel sides is called trapezoid. There are four vertices and four edges in the trapezoid.

The area of the trapezoid  A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex]

Where [tex]b_{1}[/tex] and [tex]b_{2}[/tex] are the length of the parallel sides of  the trapezoid

h is the height of the trapezoid

A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex]

Move 1/2  to other side

[tex](b_{1}+ b_{2})h[/tex] = 2A

Move h to other side

[tex](b_{1}+ b_{2})[/tex]  = [tex]\frac{2A}{h}[/tex]

Move [tex]b_{2}[/tex]  to other side

[tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Hence, if the area of a trapezoid is A = [tex]\frac{1}{2} (b_{1}+ b_{2})h[/tex], then the equation represents the value of [tex]b_{1}[/tex] is [tex]b_{1}=\frac{2A}{h}-b_{2}[/tex]

Learn more about trapezoid here

brainly.com/question/7328615

#SPJ1

The ratio of both men and women 15:22

What is Ratio ?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

Given,

The ratio of men and children = 5:2

The ratio of women and children = 11:3

To find the ratio of men and women we have to divide both the ratio:

men/children/women/children

or,

men/children x children/women

putting the values

=5/2 x 3/11

=15/22

Hence, the ratio of men:women is 15:22

To learn more about Ratio click on the link

https://brainly.com/question/2914376

#SPJ9

From the picture, we have the graph of the linear parent function f(x) = x.

We have the following statements as descriptions of the function:

A. The function is negative when x < 0.

From the graph, we see that the function takes negative values for x < 0. This statement is true.

B. The function is negative when x < 0 and also when x > 0.

The first part of this statement is true, but the second is not because that we see that the function takes positives values for x > 0. So this statement is false.

C. The function is never negative.

If we see the graph, the function is negative when x < 0. So this statement is false.

D. The function is negative when x > 0.

Again, seeing the graph we note that the function takes positive values for x > 0. So this statement is false.

So the only statement that it is true, is option A.

Answer:

the second quadrant is negative but the reference angle is exactly the same but positive

Step-by-step explanation:

looking at 150 on the unit circle in the second quadrant you will see the cosine is negative square root 3 divided by 2 but the reference angle is 30 degrees and when we look at the cosine of that which is the x value of what we see it is positive square root of 3 divided by 2

The conversion from yards to miles is given by:

The conversion factor is:

Now, if we want to know how many miles are 39 yards, we multiply 39 yards by the conversion factor:

The number of red marbles in the bag is 114 .

in the question ,

it is given that ,

total number of marbles in the bag = 120 marbles

let the number of red marbles [tex]=[/tex] r

let the  number of black marbles [tex]=[/tex] b

so , According to the question

b + r = 120   ...eqn(1)

also given that for every black marble there is 19 red marbles

which is represented by , r = 19b

Substituting  r = 19b in eqn (1) , we get

b + 19b = 120

simplifying further , we get  

20b = 120

b = 6

and r = 19(6) = 114

Therefore , The number of red marbles in the bag is 114 .

Learn more about Equations here

https://brainly.com/question/11461055

#SPJ1

In the table, we can see that the highest number corresponds to the cats who failed. Then, if a comparative bar chart represents the data, the bar representing the number of cats that failed will be the tallest.

A. Cats who failed

h(g(x)) is equivalent to the expression 1/2|x|-10

Given g(x) = 1/2|x|-6 and h(x) = x-4

h(g(x)) = h(1/2|x|-6)              

Put the value of g(x) in the expression

Now, evaluate the expression using the  definition of h(x) by replacing x in x-4 with 1/2|x|-6:

h(g(x)) = 1/2|x|-6 - 4 = 1/2|x|-10

Since  h(g(x)) = 1/2|x|-10. Therefore, 1/2|x|-10 is the expression equivalent to h(g(x)) so the third option is the answer.

Learn more about function h(g(x))  on:

https://brainly.com/question/13048549

#SPJ1

Answer:

8

Step-by-step explanation:

Find the prime factorization of 40

40 = 2 × 2 × 2 × 5

Find the prime factorization of 96

96 = 2 × 2 × 2 × 2 × 2 × 3

To find the GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2

GCF = 8

Answer:

8

Step-by-step explanation:

8 is the greatest number that 40 and 96 divides into

Callan hikes at the rate of 3 miles per hour, that means, the table of values of values would be completed as follows;

Hours, x Miles, y

1 3

3 9

5 15

The ordered pair above is derived by multiplying every hour by 3 to arrive at the number of miles.

The graph is now shown as;

When one-third of a number is at least four less than the number, the inequality to represent the information is C. n ≥ 6.

It should be noted that an inequality is simply used to illustrate the expressions that aren't equal.

Let the number be n.

This will be illustrated as:

1/3n ≥ n - 4

Collect like terms

1/3n - n ≥ -4

-2/3n ≥ -4

Multiply through by -3/2

n ≥ -4 × -3/2

n ≥ 6

The value is n ≥ 6.

Learn more about inequalities on:

brainly.com/question/24372553

#SPJ1

• The Same roots

• The same axis of symmetry

1) If we compare two parabolas from this family, like:

Note that the difference is in the leading coefficient "a".

2) Both parabolas will have the same roots, the same x-intercepts:

In addition to this, we can state that both will share the same axis of symmetry:

As well as:

Hence, the answer is:

0. Same roots

1. Same axis of symmetry

Initially, Joshua had $155 in his account.

Deposits of $25 and $40

Withdrawals = $15, $35

At the end of the month, he had $170 in his account.

Solution:

Let x be the amount of money he had initially.

Then,

x + 25 + 40 - 15 -35 = 170

x + 65 - 50 = 170

x = 170 + 50 - 65

x = 220 - 65

x = 155

Therefore, initially, he had $155 in his account.

To learn more about the amount, refer

https://brainly.com/question/25793394

#SPJ13

Answer:

-0.07

Step-by-step explanation:

Find the average

Equation

Let's multiply -1 by Eq 1

Now for x

The answer would be (10, -2)

The following that represent the sales price and the regular prices are:

regular price: $55.43, sales price: $45.45

regular price: $29.99,  sales price: $24.59

regular price: $652.30, sales price: $534.89

Percentage is the fraction of a number out of hundred. The sign that is used to represent percentages is %.

When a discount is given on the price of an item, the price of the item would reduce by the given price or by the percent reduction.

Sales price = regular price x (1 - discount)

Sales price = regular price x (1 - 0.18)

Sales price = regular price x 0.82

Sales price when the initial price is $55.43: $55.43 x 0.82 = $45.45

Sales price when the initial price is $29.99: $29.99 x 0.82 = $24.59

Sales price when the initial price is $215.33: $215.33 x 0.82 = $176.57

Sales price when the initial price is $849.50: $849.50 x 0.82 = $696.59

Sales price when the initial price is $652.30: $652.30 x 0.82 = $534.89

Please find attached the complete question. To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308

#SPJ1

7 is the value of function s and t .

What is function explain?

s(x)= x-3

t(x) = 3x+4

(s•t) = ( x -3 ) ( 3x + 4 )

        = ( 3x²  + 4x - 3x² - 12 )

         = 4x - 12

(s-t) (x) = ( x-3 ) - ( 3x+4 )

           =  x-3 - 3x + 4

           = -2x + 1

(s + t) (-2) =  x-3 +  3x+4

               =  4x + 1

(s + t) (-2) =  4 *  - 2 + 1

              = 8 - 1  = 7

Learn more about functions

brainly.com/question/12431044

#SPJ13

This statement is justified by the angle addition postulate.

Answer: 36.00%

60% can be written as 0.60 and/or 6/10, which simplifies to 3/5 for easier operations. The probability of 2 students both drink coffee with breakfast can be shown as 0.60 • 0.60 = 0.36. This means there is a 36% chance of both students drinking coffee with breakfast in the morning.

Step-by-step explanation:

The time that David left the money in the account would be = 4 years

An earned interest is the amount of money that is regularly paid to an individual who invested a specific amount of money for a stipulated period of time.

The principal amount(p)= $300

The time (T)= X

The rate of interest yield (R)= 5 %

Simple interest( SI)= $ 60

Using the formula;

SI = P×T×R/100

Make T the subject of formula;

T = SI×100/P*R

T= 60×100/300×5

T= 6000/1500

T = 4 years.

Learn more about simple interest here:

https://brainly.com/question/25793394

#SPJ1

The following problem can be well explained by the diagram shown below:

Hence by the trigonometry of the figure use the trigonometric ratio of cos to get:

Hence the support is 6.8 feet away from the wall.

Option A is correct.

a)The smaller break even quantity is 10

b)The quantity that must be sold to maximize the profit= 14.25

c)The maximum profit = $36.13

STEP - BY - STEP EXPLANATION

What to find?

• The smaller break even quantity is

• The quantity that must be sold to maximize the profit

• The maximum profit.

Given:

C(x)= 13x + 370

R(x)=70x - 2x²

a) At the break even quantity, the revenue = cost, that is no profit and no loss.

R(x) = C(x)

So that we have;

70x - 2x² = 13x + 370

Re-arrange.

-2x² + 70x - 13x - 370 =0

-2x² +57x - 370 =0

2x² - 57x + 370 = 0

We can now solve the quadratic equation above.

Using the qudaratic formula

a=2 b=-57 c=370

Substitute the values into the formula and evaluate.

Or

x = 37/2 or x=10

We take the smaller value.

Hence, x=10

Therefore, the smaller break even quantity is 10.

b)To find the quantity that will maximize the profit, find the profit function.

p(x) = R(x) - C(x)

P(x) = 70x - 2x² - (13x +370)

= 70x - 2x² - 13x - 370

P(x) =-2x² + 57x - 370

Equate to zero

-2x² + 57x - 370 = 0

2x² - 57x + 370 =0

The maximum is at x = -b/2a

b= -57 and a=2

Substitute the values

x= - (-57) /2(2)

x= 57 /4

x= 14.25

c) To find the maximum profit, simply substitute x=14.25 into the profit function and simplify.

That is;

P(x) =-2x² + 57x - 370

P(14.25) =-2(14.25)² + 57(14.25) - 370

= -406.125 + 812.25 - 370

= 36.125

≈ 36.13

Hence, the maximum profit is $36.13

Answer: his total bill is 7.24

Step-by-step explanation:

Use the next property: