All categories

3 years ago

Is (2,4) a solution of 3x - y = 2?

Mathematics

2 answers:

guajiro [1.7K]3 years ago

7 0

yes because when filling in the unknown (3*2-4=2) gets you the answer of 2.

stepladder [879]3 years ago

3 0

Answer: Yes, it is a solution.

Step-by-step explanation:

3(2)=6-4=2

You might be interested in

Find the mass of the solid paraboloid Dequals={(r,thetaθ,z): 0less than or equals≤zless than or equals≤8181minus−r2, 0less th

Lubov Fominskaja [6]

Answer:

M = 5742π

Step-by-step explanation:

Given:-

- Find the mass of a solid with the density ( ρ ):

ρ ( r, θ , z ) = 1 + z / 81

- The solid is bounded by the planes:

0 ≤ z ≤ 81 - r^2

0 ≤ r ≤ 9

Find:-

Find the mass of the solid paraboloid

Solution:-

- The mass (M) of any solid body is given by the following triple integral formulation:

$M = \int \int \int {p ( r ,theta, z)} \, dV\\\\$

- We can write the above expression in cylindrical coordinates:

$M = \int\limits\int\limits_r\int\limits_z {r*p(r,theta,z)} \, dz.dr.dtheta \\\\M = \int\limits\int\limits_r\int\limits_z {r*[ 1 + \frac{z}{81}] } \, dz.dr.dtheta\\\\$

- Perform integration:

$M = \int\limits\int\limits_r{r*[ z + \frac{z^2}{162}] } \,|_0^8^1^-^r^2 dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{(81-r^2)^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + \frac{6561 -162r + r^2}{162}] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{r*[ 81-r^2 + 40.5 -r +\frac{r^2}{162} ] } \, dr.dtheta\\\\M = \int\limits\int\limits_r{[ 121.5r-r^2 -\frac{161r^3}{162} ] } \, dr.dtheta\\\\$

$M = 2*\int\limits_0^\pi {[ 121.5r^2-r^3 -\frac{161r^4}{162} ] } |_0^6 \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 121.5(6)^2-(6)^3 -\frac{161(6)^4}{162} ] } \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 4375-216 -1288] } \, dtheta\\\\M = 2*\int\limits_0^\pi {[ 2871] } \, dtheta\\\\M = 5742\pi kg$

- The mass evaluated is M = 5742π

8 0

3 years ago

What is the first step in solving this equation?<br><br> 10d - 4 = 91

Vikentia [17]

Answer:

Step-by-step explanation:

the first step in solving this equation is adding 4 on both sides

10d = 95

d = 95/10 = 9.5

8 0

3 years ago

15. A plane flies 35 miles east and 80 miles south of an airport. The pilot

Alexxandr [17]

The opposite of East is West.

The opposite of South is North.

He would need to fly North West

4 0

3 years ago

Omar deposits $8000 into an account pays simple interest at a rate of 3% per year. how much interest will be paid in the first 5

forsale [732]

The amount of interest that will be paid in the first 5 years is $120.00

8 0

3 years ago

For number 12, it says write an equation in slope-intercept for for the total cost of any number of tickets at 7 tickets for $5.

ra1l [238]

Find the y-intercept then model it into y = .71x + b (b is the y-intercept).

4 0

3 years ago