Why do turtles not have shells equal to pie when their body is completely equal on all sides

Are the dotted lines in the shape parallel, perpendicular or intersecting?

slava [35]

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

8 0

3 years ago

Help!! 50 points and brainliest!

Viktor [21]

Answer:

Second choice:

$x=2t$

$y=4t^2+4t-3$

Fifth choice:

$x=t+1$

$y=t^2+4t$

Step-by-step explanation:

Let's look at choice 1.

$x=t+1$

$y=t^2+2t$

I'm going to subtract 1 on both sides for the first equation giving me $x-1=t$ . I will replace the $t$ in the second equation with this substitution from equation 1.

$y=(x-1)^2+2(x-1)$

Expand using the distributive property and the identity $(u+v)^2=u^2+2uv+v^2$ :

$y=(x^2-2x+1)+(2x-2)$

$y=x^2+(-2x+2x)+(1-2)$

$y=x^2+0+-1$

$y=x^2$

So this not the desired result.

Let's look at choice 2.

$x=2t$

$y=4t^2+4t-3$

Solve the first equation for $t$ by dividing both sides by 2:

$t=\frac{x}{2}$ .

Let's plug this into equation 2:

$y=4(\frac{x}{2})^2+4(\frac{x}{2})-3$

$y=4(\frac{x^2}{4})+2x-3$

$y=x^2+2x-3$

This is the desired result.

Choice 3:

$x=t-3$

$y=t^2+2t$

Solve the first equation for $t$ by adding 3 on both sides:

$x+3=t$ .

Plug into second equation:

$y=(x+3)^2+2(x+3)$

Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:

$y=(x^2+6x+9)+(2x+6)$

$y=(x^2)+(6x+2x)+(9+6)$

$y=x^2+8x+15$

Not the desired result.

Choice 4:

$x=t^2$

$y=2t-3$

I'm going to solve the bottom equation for $t$ since I don't want to deal with square roots.

Add 3 on both sides:

$y+3=2t$

Divide both sides by 2:

$\frac{y+3}{2}=t$

Plug into equation 1:

$x=(\frac{y+3}{2})^2$

This is not the desired result because the $y$ variable will be squared now instead of the $x$ variable.

Choice 5:

$x=t+1$

$y=t^2+4t$

Solve the first equation for $t$ by subtracting 1 on both sides:

$x-1=t$ .

Plug into equation 2:

$y=(x-1)^2+4(x-1)$

Distribute and use the binomial square identity used earlier:

$y=(x^2-2x+1)+(4x-4)$

$y=(x^2)+(-2x+4x)+(1-4)$

$y=x^2+2x+-3$

$y=x^2+2x-3$ .

This is the desired result.

3 0

3 years ago

Read 2 more answers

According to the text, which is not a main component of drawing?

julia-pushkina [17]

I think it's horizon

3 0

3 years ago

Which ratios are equivalent to 3:1?

trapecia [35]

Answer:

9:3;27:9;87:27

Step-by-step explanation:

The list goes on but hope that answers your question

5 0

3 years ago

Xavier opened a savings account with a deposit of $12,000. The account earned simple interest. He did not make any additional de

klasskru [66]

The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

<h3>What is simple interest?</h3>

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

$I=\dfrac{PRT}{100}$

Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

$I=12324-12000\\I=324$

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

$324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%$

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Learn more about the simple interest here;

brainly.com/question/2294792

8 0

2 years ago