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2 years ago

Identify whether each of the following statements is true or false.

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

3 0

Answer:

1. - TRUE

2. FALSE

3. FALSE

4. . TRUE

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Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Oduvanchick [21]

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2) radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

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2 years ago

Plz help due tomorrow

Tasya [4]

Answer:

2/5y and -0.2y

-6 and -2

Step-by-step explanation:

Here, we want to select the pair of like terms

To do this, we finish the evaluation of the expression

2/5y + 1/5x - 0.2y -6+ (-2)

We have the two y’s together

2/5y and -0.2y

-6 and -2

8 0

2 years ago

Please help. I've been stuck on this for 3 days. I just really need help.

Marysya12 [62]

Answer:

71.5

Step-by-step explanation:

x+1 so (1+10) x (21+5)= 286

but then 1+1=2 and 2x2= 4 so 286 divided by 4= 71.5

5 0

3 years ago

Tim and Caitlin are preparing to get married. Caitlin has a car payment of $300 per month, which is 10% of her monthly income. A

Misha Larkins [42]

Answer:

A. $2,000

Step-by-step explanation:

Let x represent Caitlin's monthly income and y represent Tim's monthly income.

We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.

We can represent this information in an equation as:

$\frac{10}{100}x=300$

$0.10x=300$

$x=\frac{300}{0.10}$

$x=3000$

Therefore, Caitlin's monthly income would be $3000.

We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.

This means that 6% of x plus y is equal to 300.

$\frac{6}{100}(x+y)=300$

$0.06(3000+y)=300$

$180+0.06y=300$

$180-180+0.06y=300-180$

$0.06y=120$

$y=\frac{120}{0.06}$

$y=2000$

Therefore, Tim's monthly income is $2,000 and option A is the correct choice.

5 0

3 years ago

What does the variable equal<br> X<br> — +3=6+1 <br> 10

netineya [11]

Hi there!

Here are all the steps into isolating "X" :

$\frac{x}{10}$ + 3 = 6 + 1

$\frac{x}{10}$ + 3 = 7

Subtract 3 from each side of the equation

$\frac{x}{10}$ = 4

Multiply each side of the equation by 10

x = 40

There you go! I really hope this helped, if there's anything just let me know! :)

4 0

3 years ago