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3 years ago

identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 10)

Mathematics

1 answer:

Masteriza [31]3 years ago

8 0

Answer:

Step-by-step explanation:

y = -1/3x + 2

m1 = -1/3

Slope of the perpendicular line = -1/m1 = -1 ÷ $\frac{-1}{3}$ = $-1*\frac{3}{-1} = 3$

Equation of the required line : y = mx +b

y = 3x + b

Plugin x = 2 and y 10 in the above equation

10 = 3*2+ b

10 = 6 +b

10 - 6 = b

b = 4

Equation: y = 3x + 4

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Simplify to create an equivalent expression 19−6(−k−2)

Nikolay [14]

19 − 6( − k − 2)

Distribute -6:
= 19 + 6k + 12

Combine like terms:
= 6k + 31

Answer: 6k + 31

6 0

3 years ago

Read 2 more answers

Graph the function f(x) = x3 – 5x2 + 6x using the graphing calculator. What are the solutions to the related equation? Check all

Juli2301 [7.4K]

the solutions to the related equation are 0,2,3 .

Step-by-step explanation:

Here we have , function f(x) = x3 – 5x2 + 6x . Graph of this function is given below . We need to find What are the solutions to the related equation . Let's find out:

Solution of graph means the value of x at which the value of f(x) or function is zero . We can determine this by seeing the graph as at what value of x does the graph intersect or cut x-axis !

At x = 0 .

From the graph , at x=0 we have f(x) = 0 i.e.

⇒ $f(x) = x^3- 5x^2 + 6x$

⇒ $f(0) = 0^3- 5(0)^2 + 6(0)$

⇒ $f(0) =0$

At x = 2 .

From the graph , at x=2 we have f(x) = 0 i.e.

⇒ $f(x) = x^3- 5x^2 + 6x$

⇒ $f(0) = 2^3- 5(2)^2 + 6(2)$

⇒ $f(0) =0$

At x=3 .

From the graph , at x=3 we have f(x) = 0 i.e.

⇒ $f(x) = x^3- 5x^2 + 6x$

⇒ $f(0) = 3^3- 5(3)^2 + 6(3)$

⇒ $f(0) =0$

Therefore , the solutions to the related equation are 0,2,3 .

3 0

3 years ago

HELP please!! “Find the volume of the sphere rounded to the nearest hundredth

zvonat [6]

Answer:

904.32 cm^3

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3πr³. Since r is given, we can plug that in for r. I'm assuming that we are using 3.14 for pi, so when we plug in all the values in the equation we get V = 4/3*3.14*6³, which solves out to 904.32.

5 0

3 years ago

Describe what is being done in each step while solving the equation. Match each step with the correct description. HINT: Start w

Licemer1 [7]

1. Original equation
2.Distributive property
3. Add 6x to each side
4. Subtract 2 from each side
5. Divide each side by 11

5 0

3 years ago

Mr Lim, Mr Tan and Mr Chan have $8650 altogether. Mr Lim has $450 more than Mr Tan. Mr Chan has twice as much money as Mr Tan. H

Natalka [10]

Answer:

Mr. Lim will have $2500

Step-by-step explanation:

Given:

The total amount of money which Mr. Lim, Mr. Tan and Mr. Chan is $8650;

Mr. Lim has $450 more than what Mr. Tan has;

Mr. Chan has double the amount of money than what Mr. Tan has.

Therefore, if we assume that the amount of money Mr. Tan has as x, then...

Total money = Mr. Tan + Mr. Lim + Mr. Chan

therefore,

8650 = x + (x + 450) + 2x

8650 = x + 2x + x + 450

8650 = 4x + 450

8650 - 450 = 4x

8200 = 4x

8200/4 = x

2050 = x

As we assumed earlier, x will be equal to the amount of money Mr. Tan has and the question is asking us how much money Mr. Lim has. To find this out, you have to add $450 to the amount of money Mr. Tan has which is $2050. This is because the question also gives us that Mr. Lim has $450 more that Mr. Tan.

I hope this helped you :)

3 0

3 years ago