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3 years ago

Which of these points lies on the line described by the equation below y-3=5(x-9)

Mathematics

2 answers:

ladessa [460]3 years ago

5 0

Answer:

(9,3)

Step-by-step explanation:

We have been given an equation of a line $y-3=5(x-9)$ and we are asked to find the point that lies on our given line.

Since we know that point-slope form equation of a line is: $(y-y_1)=m(x-x_1)$ , where,

m = The slope of the line.

$(x_1,y_1)$ = The coordinates of given point on the line.

Since our given equation is in point-slope form, so x-coordinate of our given point is 9 and y-coordinate of our given point is 3.

Therefore, point (9,3) lies on the line described by our given equation.

s344n2d4d5 [400]3 years ago

3 0

(9,3) is the answer because in point slope form what x and y and subtrating from is the point it lies on

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3 years ago

125 tickets were sold for the jazz band concert for a total of $1,022. Students tickets cost $6 each, and general admission tick

rodikova [14]

Answer:

Number of student tickets sold are 57 and general tickets sold are 68.

Step-by-step explanation:

Let the number of student tickets = x and the number of general tickets = y.

It is given that in total 125 tickets were sold.

So, we have,

$x+y=125$

Also, students tickets is sold for $6 each and the general tickets are sold for $10 each.

Since, the total cost of the tickets is $1022.

So, we get,

$6x+10y=1022$

Thus, the system of equations obtained is,

x + y = 125 ........................(1)

6x + 10y = 1022

Multiply equation (1) by 6 gives us,

6x + 6y = 750 ............................(2)

6x + 10y = 1022 .........................(3)

Subtact (2) from (3), we get,

10y - 6y = 1022 - 750

i.e. 4y = 272

i.e. y= 68.

So, equation (1) gives,

x = 125 - y

i.e. y = 125 - 68

i.e. y = 57

Hence, the number of student tickets sold are 57 and general tickets sold are 68.

3 0

3 years ago

An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 85e−0.04t liters per minute. How much

Furkat [3]

Given the rate of water flow is given by:
r(t)=85e^(-0.04t)
thus the amount of water flow in the first hour when t=1, will be:
r(1)=85e^(-0.04*1)
=81.667
thus the amount of water that flowed out will be:
85-81.667
=3.333 liters

5 0

3 years ago

Consider the line y = 3x - 1.

padilas [110]

Answer:

y = -1/3x + 1/3

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals.

The given line is

y = 3x - 1

This equation is written in the slope-intercept form, y = mx + b, where m is the slope.

slope of given line = m = 3

slope of perpendicular line = -1/3

Now we need the equation of the line with slope -1/3 that passes through the point (-8, 3)

y = mx + b

y = -1/3x + b

3 = (-1/3)(-8) + b

3 = 8/3 + b

9/3 = 8/3 + b

b = 1/3

y = -1/3x + b

y = -1/3x + 1/3

8 0

3 years ago