Help me! i need this answer now i am so dead. if i get it worng please help

The equation of the line perpendicular to 3y-6x = -15 and passing through the point  (6,-4)  is y = (-1/2)x - 1

The equation of the line is

3y-6x = -15

Convert the equation to the slope intercept form of the line

3y-6x = -15

3y = 6x-15

y = (6x-15)/3

y = 2x-5

The slope intercept form of the line

y = mx+b

By comparing the result with slope intercept form

slope of the line m = 2

The slope of the line perpendicular will be the negative reciprocal of 2

m = -1/2

Therefore the slope of the line will be

y = (-1/2)x+b

The line is passing through the point (6,-4)

Substitute the values in the equation

-4 = (-1/2)×6+b

-4 = -3+b

b = -4+3

b = -1

Substitute the values in the slope intercept form

The equation of the line perpendicular to 3y-6x = -15 and passing through the point  (6,-4)

y = (-1/2)x - 1

Hence, the equation of the line perpendicular to 3y-6x = -15 and passing through the point  (6,-4)  is y = (-1/2)x - 1

The complete question is

Write an equation for a line perpendicular to 3y − 6x = −15 and passing through the point (6,-4).

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We go from degrees to radians:

Now, the length of arc CE is:

Where CD = 6 units. Using the angle in radians:

Step-by-step explanation:

your teacher is not very precise, I fear.

the yearly salary ($29,700) is the gross pay she gets.

the gross pay minus the taxes ($2,948 and $2,573) is then the net pay she receives.

in many cases the employer also withholds the health insurance premium (and then that has to be subtracted too before getting the net pay).

I just think your teacher means by "net pay" how much she will have left are all the monthly costs.

her annual net pay amount is

$29,700 - $2,948 - $2,573 = $24,179

the monthly net pay is $24,179/12 = $2,014.916666... ≈

≈ $2,014.92

she has to pay monthly

$140

$ 65

$300

$675

$130

$ 55

$278

$220

---------

$1,863

based on her monthly net pay she has left

2,014.916666...

- 1,863

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

151.9166667 ≈ $151.92

per month

please pick based on what you think your teacher means by net pay : the actual net pay by her employer, or how much money she has monthly left after paying all bills.

By definition, the Rate of change is also called "Slope".

The slope of a line can be found dividing the difference between the y-coordinates of two points, by the difference between the x-coordinate of those points:

In this case you know that:

Knowing the following point on the line:

You can set up the following (substituting the slope and the coordinates of those point into the formula)

Now you can solve for "a":

The answer is: Third option.

Answer:

x-intercept: (−5, 0)

y-intercept: (0, 2)

Step-by-step explanation:

FOR X INTERCEPT WE KNOW THAT Y WILL BE A AT THE AXIS LINE WE CAN SUBSTITUTE THW VALUE O IN THE PLACE OF Y TO GET X-INTERCEPT

[tex]2x - 5(0) = 10 \\ 2x = 10 \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5[/tex]

5 is the x-intercept

(5,0)

FOR Y INTERCEPT ON THE Y AXIS X IS EQUAL TO 0 WE CAN PLUG IN TO FIND THE VALUE OF THE Y -INTERCEPT IN THE EQUATION

[tex]2(0) - 5y = 10 \\ - 5y = 10 \\ \frac{ - 5y}{ - 5} = \frac{10}{ - 5} \\ y = - 2[/tex]

-2 is the Y-intercept

(0,-2)

Hope this helps

In linear equation, No of Adults = 2,179, No of Children = 3,221 .

What in mathematics is a linear equation?

Let Number of Adult admission be x

    Number of children's admission be y

Total tickets were sold = 5400

so x+y= 5400  ....... eq 1

One adult ticket costs $5.50 ,so total Adult ticket costs = 5.50x

One Child ticket costs $ 3.50, so total Children tickets cost= 3.50 y

receipt totaled = $23,258

so 5.50x+3.50y= $23,258....... eq 2

multiply 5.50 to the  eq 1, we get,

5.50x +5.50y = 29,700...... eq 3

subtract eq 2 from eq 3, we get,

5.50y-3.50y = 29,700- 23,258

2y= 6,442

divide by 2 both sides ,we get, y= 3,221

substitute the value of y in eq 1, we get,

x+ 3,221 =5400

x= 5400- 3221

x= 2,179

No of Adults = 2,179, No of Children = 3,221

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Solution:

Given the expression:

To simplify in the form:

step 1:

Multiply the terms in the second parenthesis by each term in the first parenthesis.

Thus,

step 2:

Collect like terms.

Hence, the expression is simplified as

Students takes both French and Spanish is 5 members

Student takes just Spanish = 14 members

Student takes just French = 13 members

Given :

Total numbers of students in class = 35

how many members take spanish = 19

how many members take french = 18

students take neither = 3

To find :

A) Both French and Spanish

B) Just Spanish

C) Just French

Solution :

from venn diagram

a+b+c+d = 35 → 1

b+c = 19 → 2

c+d = 18 → 3

a = 3 → 4

Substract equation 1 and equation 2

a+b+c+d-b-c=35-19

a+d=16 → 5

substract a=3 in the eqution 5

3+d=16

d=13

put d=13 in equation 3

c+d=18

c+13=18

c=5

Students takes both French and Spanish is 5 members

Student takes just Spanish = 14 members

Student takes just French = 13 members

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f(x)=x ^2

Translate 8.5 units to the left

f(x)= (x + 8.5 )^2

vertical Stretch of a factor of 3

f(x)= 3 (x + 8.5 )^2

7 units down

f(x)= 3 (x + 8.5 )^2 - 7

Answer:

See below

Step-by-step explanation:

If the question is SUPPOSED to be

| 2x +3 | = 3     you have to solve for the left side being positive or negative

Positive    2x + 3   = 3

                  2x = 0

                   then x = 0

Negative   - ( 2x+3) = 3

                  -2x -3  = 3

                   -2x = 6

                       x = -3

So answer A

Given, the cost of 24 tiles $54.50

Step 1: Calculate how much a tile cost. To obtain the cost per tile

Step 2: Calculate the cost to put 36 tiles (i.e the cost per tile multiply by 36)

Hence, it will cost $81.75 to put 36 tiles

Equation of 'm'

(y - 6) = - ³/₅ (x - 2)     [point-slope form]

y = - ³/₅ x + ³⁶/₅    [slope-intercept form]

Equation of 'q'

(y - 6) = ⁵/₃ (x - 2)         [point-slope form]

y = ⁵/₃ x + ⁸/₃         [slope-intercept form]

To find the equation for both 'm' and 'q' requires a bit of work. Because neither  'm' nor 'q' has two points to find the slopes of the line, we have to get creative.

The Line 'n' has two points [ (4, 4) & (1, -1) ], and as such we can find the slope of that line. The line 'n' is parallel with 'q' and perpendicular with m.

For finding the slope of 'n'

The slope of the 'n'    =  (y₂ - y₁) ÷ (x₂ - x₁)      

=  (4 - (- 1)) ÷ (4 - 1)  

=  5 ÷ 3

=  ⁵/₃

To estimate the slope of 'q' and 'm'

When two lines exists parallel, they contain the exact slope.

Since 'n' and 'q' exists parallel,

then the slope of q = ⁵/₃

When two lines exists perpendicular, the product of their slopes exists -1. This means that the slopes exists negative-reciprocals of each other.  

Since 'n' and 'm' exists perpendicular

then the slope of m = - ³/₅

Write the equation for 'q' and 'm'

We can now utilize the point-slope form (y - y₁) = m(x - x₁)) to write the equation for the lines

For both 'q' and 'm' let (x₁, y₁) be (2, 6)

Equation of 'm'

(y - 6) = - ³/₅ (x - 2)     [point-slope form]

y = - ³/₅ x + ³⁶/₅    [slope-intercept form]

Equation of 'q'

(y - 6) = ⁵/₃ (x - 2)         [point-slope form]

y = ⁵/₃ x + ⁸/₃         [slope-intercept form]

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We will find the quotient and remainder as follows:

The quotient is 749 and the remainder is 2.

The system of equations is given as

To plot the graph for each equation, we can prepare a table of values taking

EQUATION 1: -x +y = -2

EQUATION 2: 2x + y = 10

The graph can then be drawn as shown below:

The solution to the system of equations is the point where the two graphs intersect.

This is seen in the graph above as (4, 2).

Hence, the correct option is the FOURTH OPTION.

Answer:

16

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors. Hope this helps! <3

Answer: 126°

Step-by-step explanation:

Step-by-step explanation: Since every triangle has 180 interior degrees, we can say 2x + 3x + 90° = 180°. Subtract 90° from each side and we get

2x + 3x = 90°

5x = 90°

x = 18°

Plug in x for Angle 2, giving us Angle 2 = 54°

Angle 1 and angle 2 must add up to 180°

Subtract 54° from 180° and we get 126°

Explanation

In the question, we are given some important details to work with. Here is a list of them.

1) First, we must note that each family is contributing $20 worth of food.

2) Harlin's family brought 12 packages to the party.

3) The 12 packages consist of two types of buns namely hamburgers and hot dogs. The hamburger buns cost $2 per package while the hot-dog buns cost $1.50

Part A

Let's assume that the number of hamburger packages represents x and the number of hot dogs packages represents y. We can conclude that the sum of bought packages should be equal to 12. We can then translate this information into the equation below.

Answer A: x+y = 12

Part B

Now, we can figure out the equation that represents the cost of the buns. Since we know the cost of each buns package, we can multiply the cost of each buns package by the number of packages that were brought to the party by the Harlin family.

Also, we will add the resulting expressions and equate it to the cost of the worth of food each family will bring to the party.

Therefore,

Answer B: 2x+1.5y = 20

Part C And Part D

The above sections can be gotten by solving the previous systems of equations simultaneously. Therfore,

Let's create equation three from equation 1

Then we will substitute equation three into the untouched equation 2

0. From the given graph, the cumulative frequency value indicates the number of students, we have 100 total number of students .

• so,Median is half of the students = 100/2 = 50

the value of test score that corresponds with 50 = 55 test score

• This means that the median , 50 students scored 55 % in the exa,m.

2. Finding the lower quartile Q1 :

since we have 100 students , 100/4 = 25, so Q1 = 25

the value that corresponds with cumulative frequency of 25 = 45

• This means that 25 students scores 45 %

3. Finding the Interquartile range :

IQR = Upper Quartile -Lower Quartile

Upper quartile = Q3 = 75 students : 60 %

and lower quartile = 45%

So,

IQR = 60-45

= 15

• This means that 15 students got 35 %

Given data:

The given series is -32, -25, -18, -11,....

The commo difference of the given series is,

The expression for the explicit formula for the given series is,

The expression for recursive formula is,

Given:

Line a is parallel to line b.

As shown:

m∠1 = m∠5 ; the corresponding angles are congruent

m∠2 = m∠2 ; the corresponding angles are congruent

So, the answer will be option 2

Answer:

32,700

Step-by-step explanation:

Given:-

57 students in a physics course earned A.

79 students course earned B.

102 students course earned C.

94 students course earned D.

53 students failed the course.

To find:-

How many degrees would be used to indicate the region A.

Total number of students is,

Now we find the degrees to indicate the region A. we get,

So the required soluion is 53.29 degrees.

A 28 ounce bottle is $0.01 per ounce cheaper than 8-ounce bottle of salad dressing.

For the given question;

The 8-ounce bottle of salad dressing costs $1.76

This can be written as-

8-ounce bottle -----> $1.76.

For finding the price of one ounce divide both side by 8.

1-ounce bottle -----> $0.22

Now, for 28 ounce bottle.

28 ounce bottle costs $5.88.

28 ounce bottle-----> $5.88.

For finding the price of one ounce divide both side by 28.

1-ounce bottle -----> $0.21

Difference = 1-ounce for 28 bottle -  1-ounce for 8 bottle

Difference = $0.22 - $0.21

Difference = $0.01

Thus, 28 ounce bottle is $0.01 per ounce cheaper than 8-ounce bottle of salad dressing.

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Jenny's age is 20 years, Lynn is 14 years and Kim is 23 years.

Let's take Jenny as J, Kim as K and, Lynn as L.

From the given statement we get the equation.

As the sum of the age of the three sisters is 57. So we have an equation,

J + K + L = 57 ........(i)

Jenny is 6 years older than Lynn. So the next equation is,

J = 6 + L .......(ii)

Kim is 5 years less than twice her age Lynn. So the equation is,

K = 2L -5 .........(iii)

Putting equations (ii) and (iii) in equation (i)

6 +L + 2L - 5 + L = 57

4L = 56

L = 14

Put the value of L in equations (ii) and (iii)

J = 6 + 14

 = 20

K = 2(14) -5

   = 28 - 5

   = 23

Therefore the age of Jenny is 20 years, Lynn is 14 years and Kim is 23 years.

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The Pythagorean Theorem is used to determine that the distance between the hands at 9 o'clock is 14 inches.

It is implied that a clock has an 11-inch-long minute hand and a 9-inch-long hour hand.

We need to find the distance between the end of the hands at 9 o'clock.

At 9 o'clock, the hands form a right angled triangle.

Let the length of minute hand = x , hour hand = y and the distance between the end of the hands at 9 o'clock = z

Therefore, by using Pythagorean theorem,

x² + y² = z²

11² + 9² = z²

z = [tex]\sqrt{11^{2}+9^{2} }[/tex]

z = [tex]\sqrt{202}[/tex]

z = 14.21 rounded to 14 inch

Using the Pythagorean theorem, the distance between the ends of the hands at 9 o'clock is calculated to be 14 inches.

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A. you should buy pass for minimum 34 ride per month to get profit.

B. you save 4.4$ by using the monthly pass.

How to calculate profit?

if monthly pass cost you more than one way pass then you loss money. To calculate the minimum amount of rides to get profit from monthly pass. Divide the monthly pass cost by one-way ticket cost.

A. minimum rides= cost of monthly pass/cost of one way ticket

minimum rides=[tex]\frac{55}{1.65}[/tex]

minimum rides=33.33

you need to travel at least 34 times to purchase the pass

B. you have 9 rides per week. 5 on weekdays and 4 on weekends

total rides per month= 9×4

                               =36

cost of 36 rides=36×1.65

                         59.4

amount you save=59.4-55

                            =4.4$

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the given equation is,

and

now the expression is,

2y + z

put the values,

thus, the correct answer is option C

The curve intersect the x axis at x = 1. So x-intercept is 1. Statement A is false.

The curve intersect the y-axis at y= 3. So y intercept is 3. Statement B is correct.

The curve tends toward infinity at y = -1. So y = -1 asysmptote of the function. Statement C is correct.

The range of function is y > -1. So range is not all real number. Thus statement D is incorrect.

The function is defined for x > -0.5. At x = 0.5 function tends toward infinity. Thus statement E is incorrect.

As we move from left to right on x-axis then function decreases. So function shows decay. The statement F is incorrect.

The value of function approaches -1 as value of x increase but does not cross -1 ot touch the value y = -1. So statement G is correct.

Thus correct statement are,

B, C and G.

whenever you have an equation with one variable on both sides, you might end up with one of the following case:

1. You might end up with an inconsistent equation, therefore there is not solution. Example

x = x+3. If you subtract x on both sides, you get 0=3 which is impossible.

2. You might end up having infinite solutions. Example:

x+6 = x+6. If you subtract x on both sides you get 6 =6 which is true regardless of the value of x.

3. You might end up having only one solution. Example:

3x +2 = x +5

If you subtract x on both sides and subtract 2 on both sides, you get

2x = 3.

then if you divide by two on both sides, you find

x = 3/2. So this equation has one unique solution.