Ellipse with vertices (0,+6) and passing through the point (2,2) what is the equation

Which expression has exactly three terms? Select all the expressions that apply.

irga5000 [103]

The answer is expressions D, E, and G.

In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.

Options A and B only have 1 term, an x or y³, so these are incorrect.

Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.

D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.

G has 3 unique terms, x³, x^4, and 7x, so this is correct.

When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.

I hope this helps!

6 0

3 years ago

Read 2 more answers

What is 4 divided into 3 1/3

ipn [44]

Answer:

1 1/5

Step-by-step explanation:

7 0

3 years ago

Problem 9

lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

$\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}$

This is a simple proportion, and now we know he uses $2.5$ gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has $7$ gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

$\frac{7-3}{2.5} = 1.6$

The $7-3$ is because Leon doesn't stop when his tank is empty, he stops $3$ gallons earlier. We are dividing by $2.5$ because that is how much gas he uses per hour, meaning the result of this division ( $1.6$ ) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + $2$ hours of driving + the remaining $1.6$ hours = 3:36PM

( $1.6$ hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0

2 years ago

The Ferrari Testarossa and the Porsche 911 Turbo are 400 miles apart and headed straight toward each other. The Ferrari is going

ryzh [129]

Answer:

1.6 hours

Step by step explanation;

1 hour would make them only 150 miles apart, 60% of 120 and 60% of 130 added together is 150 mph, so 1.6 hours

Hope this helps :)

5 0

3 years ago

Plleeaassee help it is URGENT MAATHH HELP PLEASE WILL GIVE 5 STARS ON ALL CORRECT ANSWERS, MARK AS BEST ANSWER AND SAY THANKS

lara [203]

Using Pythagoras in the first question
c= $\sqrt{16 ^{2} + 4^{2} } =16.4924$
which is approximately 16.5
for the second question
we also use Pythagoras
$b^2=c^2-a^2$
$\sqrt{13^{2}-12^2}=5$

4 0

3 years ago

Ellipse with vertices (0,+6) and passing through the point (2,2) what is the equation ​

Ellipse with vertices (0,+6) and passing through the point (2,2) what is the equation