Find the equation for the family of lines tangent to the circle with center at the origin and radius 3.

1 answer:

7 0

Our circle isx^2+y^2=9the formula for a tangent line at a point 'a' isy−y(a)=y′(a)(x−a)

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you deposit $700 in an account with an annual interest rate of 4%. calculate the amount of money you will have in that account a

vlabodo [156]

Answer:1872

Step-by-step explanation:

7 0

2 years ago

you are moving to houston texas and are switching your cellular phone company. your new peak air time rate in houston is $.23 pe

Luda [366]

Add them so the answer will be 118.45

8 0

2 years ago

What are the characteristics of a radical equation?

Luda [366]

What are the characteristics of a radical equation?

Radical equations are those equations where the variable is inside a radical.
For example: √x - 5 = 0 is a radical equation but x -√5 = 0 is not a radical equations.

How is solving radical equations similar to solving linear equations?

You search to isolate the variable, by performing identical operations on both sides of the equation.

Why is it important to check the solutions to a radical equation?

This is important when the index of the root is an even number. For example 2. When you square a square root you force the results to be positive and this may hide the real condition of the original equation.

For example, √x + 5 = 0

=> √x = -5

=>(√x)^2 = (-5)^2

=> x = 25

When you check: √x + 5 =√25 + 5 = 5 + 5 = 10 which is contradictory with the original equation. You have to discard the solution, becasue none real number exists whose square root is negative, which means that √x + 5 = 0 does not have a real solution.

Create your own radical equation. Describe in complete sentences and demonstrate the process in finding its solution(s)

√(3x+1) - 10 = 0

1) isolate the radical: √(3x + 1) = 10

2) Square both sides: [√(3x + 1)]^2 = 10^2

=> 3x + 1 = 100
=> 3x = 99
=> x = 33

3) Check

√[(3(33) + 1] - 10 = √(99 + 1) - 10 = √100 - 10 = 10 - 10 = 0

Then the solution is correct

4 0

2 years ago

Simplify.

meriva

Answer:

Step-by-step explanation:

Put the square roots together

4*5 * sqrt(14z^2 * 21z^3)

4*5 * sqrt(2*7 * z^2 * 3*7 z^2 * z)

The rule is to remove the perfect square from under the square root sign, you take 1 member of the perfect square out of the root sign, and throw the other one away. If there are an odd number of factors under the root sign, leave one of them alone.

4*5 * 7 z * z sqrt(2 * 3 * z)

140 z^2 * sqrt(6z)

3 0

2 years ago

A ship sailed 30 kilometers in 1 1/2 hours. What is was its rate in kilometers per hour?

PilotLPTM [1.2K]

Answer:

20km/hr

Step-by-step explanation:

Given that a ship sailed 30km in one and a half hours. We need to find out the rate of ship in kilometres/hour . The rate is also called Speed.

Speed:- Distance travelled per unit time is called Speed .

Here , according to Question,