Which of the following is a point-slope equation of a line that passes through
the points (5,2) and (-1,-6)?
O A. y-2-(X-5)
O B. y-2--x-5)
O C. y-2--|(x-5
OD. y-2-(x-5)

Answer:

(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]

P(4, 3)

y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )

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

Answer: $151.20

Step-by-step explanation:  8 percent of 140. Add this number to 140.

[tex]\frac{x}{140} = \frac{8}{100}[/tex]

100x=112

x=11.2

Answer:

113 inches or 3.13889 yards

Answer:

circle 3

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

x [tex]\geq[/tex] -3, when graphed, is a vertical line which crosses the x-axis at -3

The solution area is then shaded either to the left of that line or to the right

Look at the point (0, -2); the x-coordinate is zero, which is greater than -3

Therefore, if graphing, you would shade the area to the right of the line and every point contained in this area is a solution to x [tex]\geq[/tex] -3

Answer:

32

Step-by-step explanation:

Answer:

C: 12x squared

Step-by-step explanation:

the equation would look like [tex]2x^{2}[/tex] · [tex]6[/tex] or [tex]6(2x^{2})[/tex]

you only multiply the coefficients, leave the exponent alone for this one

so 2 times 6 would be 12 and the [tex]x^{2}[/tex] remains the same giving you [tex]12x^{2}[/tex]

Answer:

output is -17

Step-by-step explanation:

x is input, y is output. You do y = -24 + 7

then y = -17

Answer:

x = 2

Step-by-step explanation:

0.666/5 = (2/3)/5 = 2/15

Therefore, x = 2.

Answer:

option A, 3/4

Step-by-step explanation:

slope / gradient formula:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

use the 2 coordinates from the graph

i) (-2,3)

x1 = -2

y1 = 3

ii) (2,6)

x2 = 2

y2 = 6

[tex] \frac{y 2 - y1}{x2 - x1} [/tex]

[tex] \frac{6 - 3}{2 - ( - 2)} [/tex]

[tex] \frac{3}{2 + 2} [/tex]

[tex] \frac{3}{4} [/tex]

Answer:

The indifference point is 8 classes.

Step-by-step explanation:

Giving the following information:

Option 1:

$40 joining fee and $20 per class

Option 2:

$0 joining fee and $25 per class

First, we establish the total cost formulas:

Option 1= 40 + 20x

Option 2= 0 + 25x

x= number of classes

Now, we equal both formulas and isolate x:

40 + 20x = 25x

40=5x

8=x

The indifference point is 8 classes.

Prove:

Option 1= 40 + 20*8= $200

Option 2= 0 + 25*8= $200

Answer:

-1.5

Step-by-step explanation:

You were on the free points page

Answer:

The required equation will be:

Step-by-step explanation:

We know the slope-intercept form of the line equation

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

where 'm' is the slope or rate of change and 'b' is the y-intercept of the equation

Given that Bea's catering charges $3 per person.

Given that the clean-up fee to cater banquets = $60

In other words, $60 is the initial condition or y-intercept.

Given that the cost budget = c = $200

Thus, the equation becomes

c = mn+b

substituting c = 200, m = rate of cgange = 3, b = 60

200 = 3n + 60            ∵ comparing with y = mx+b

Thus, the required equation will be:

The equation that determines the no of students should be 200 = 3n + 60  

Here we assume n be the number of students

And, c be the the cost budget.

So, we know the equation should be formed by applying the following expression

c = mn+b

Here c = 200, m = r = 3, b = 60

Therefore, the equation is 200 = 3n + 60        

Hence, The equation that determines the no of students should be 200 = 3n + 60  

Learn more about an equation here; https://brainly.com/question/18510004

Answer:

20/6=p/12

cross multiply

20*12=6p

240=6p

divide both sides by 6

p=40

Answer:

C - 40

Step-by-step explanation:

Answer:

it goes 4233 miles

Step-by-step explanation:

sorry if am wrong luv!

Answer:

$14.9

Step-by-step explanation:

238.40 / 16 = $14.9 hourly

Answer:

Gabriel earns $14.90 per hour

Step-by-step explanation:

238.4 divided by 16 gives you 14.9

Hope this helps

Answer:

Step-by-step explanation:

w(0) = 0-1

w(0) = 0-1

w(0) = -1

Since w(0), this basically means that a = 0.

So, plug 0 into anywhere a is.

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

w(a) = a - 1

The value of the function at a = 0 will be

w(0) = 0 - 1

w(0) = - 1

The value of the function w(a) = a - 1 at a = 0 will be negative 1.

More about the value of expression link is given below.

https://brainly.com/question/23671908

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Answer:

C

Step-by-step explanation:

there would have to be one more zero between 0 and 8 for both of them

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5

= 0.4

Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

To learn more about the unitary method visit:

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Answer:

Step-by-step explanation:

Given:

Arrival rate λ = 1.25 min

Mean μ = 2

Computation:

(a) Probability [No customers in system]

Probability [No customers in system] = 1-[λ/μ]

Probability [No customers in system] = 1-[1.25/2]

Probability [No customers in system] = 0.375

(b) Customers waiting for service

Customers waiting for service = λ²/ [μ(μ-λ)]

Customers waiting for service = 1.25²/ [2(2-1.25)]

Customers waiting for service = 25/24

(c) Average time customer wait

Average time customer wait = λ / [μ(μ-λ)]

Average time customer wait = 1.25/ [2(2-1.25)]

Average time customer wait = 1.25/1.5

(d) May be wait because Customers waiting for service = 25/24

(e) Per customer average time

Per customer average time = 1/(μ-λ)

Per customer average time = 1/(2-1.25)

Per customer average time = 1.33 (Approx)

Answer:

your answer is going to be 220.

Answer:

thats correct

Step-by-step explanation:

i had that on my test and i ot it right

Answer:

x = 56°

Step-by-step explanation:

Base angles of an isosceles triangle are equal.

This:

The angle of the triangle to our right, which is the third unequal angle = 180 - 2(31)

= 180 - 62

= 118°

The base angle of the triangle to our left = 180 - 118 (angles on a straight line)

= 62°

x = 180 - 2(62)

x = 180 - 124

x = 56°

Answer:

both student one and student two

Step-by-step explanation:

With the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

Congruent triangle-If the sides of two triangle measure same lengths and the angle have same measures then the two triangle are said to be congruent.

Given-

Statement of student 1-Because reflections preserve side lengths,

[tex]QR \cong SR[/tex],

[tex]PQ \cong TS[/tex],

[tex]PR \cong TR.[/tex] so,

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangle are said to be congruent by the side side side (SSS) rule. Hence, the above statement is correct.

Statement of student 2- Because reflections preserve both side lengths and angle measures,

[tex]\angle RQP \cong \angle RST[/tex]

[tex]QR \cong SR[/tex]

[tex]PQ \cong TS[/tex]

[tex]\bigtriangleup PQR \cong \bigtriangleup TSR[/tex]

In any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangle are said to be congruent by the side angle side (SAS) rule. Hence the above statement is correct.

Hence, with the properties of congruent triangle we conclude that the statement of both student I and student II are correct.

https://brainly.com/question/25813512

Answer:

65 reaminder  85  

Step-by-step explanation:

u divided it and theres a big remainder so i did the two first reinders i found

Answer:

Answer are right here

Step-by-step explanation:

66 as a fraction is 33/50 and as a decimal, it would be 0.66

2/3 as a fraction would be 2/3 and as decimal it would be 0.66666667