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3 years ago

5

Describe how to find the vertex of a parabola if you are given the equation

1 answer:

emmainna [20.7K]3 years ago

3 0

Answer:

The vertex of a parabola is (h,k)

Step-by-step explanation:

The vertex form of a parabola is y=a(x-h)^2+k where a is the stretch/compression factor and (h,k) is the vertex. So to find the vertex, you will need (h,k) which represents the horizontal and vertical shift of the parabola

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935 written in exponential form is :

jeka57 [31]

Answer:

$9.35\times10^{2}$

simply find the exponent

5 0

4 years ago

According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round

Temka [501]

<h2>Hello!</h2>

The answer is:

The first measurement of volume is equal to 835.23 mL.

<h2>Why?</h2>

Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.

So, we Boyle's Law equation states that:

$P_{1}V_{1}=P_{2}V_{2}$

Where,

$P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume$

Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:

$P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}$

So, substituting the given information and calculating, we have:

$V_{1}=\frac{8.59atm*527mL}{5.42atm}$

$V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL$

Hence, the first measurement of volume is equal 835.23 mL.

Have a nice day!

8 0

3 years ago

Select the correct answer.

Trava [24]

Answer: $\left(\frac{4}{3}, -\frac{5}{3} \right)$

Step-by-step explanation:

Setting the equations equal to each other.

$x-3=-2x+1\\\\3x=4\\\\x=\frac{4}{3}\\\\\implies y=\frac{4}{3}-3=-\frac{5}{3}$

5 0

2 years ago

HELPPPP PLEASEEE ITS NUMBER 6

stellarik [79]

$90 - $30 = $60

$60 - $10 = $50

50 divided by 3* =

16.6666667

3*: from the 3 pencils that Jason also wants.

7 0

3 years ago

Zara has paper rectangles of different sizes every rectangle is 5 cm longer than it is wide is there a proportional relationship

ANEK [815]

Zara has paper rectangles. Length and width of any rectangle is directly proportional.

<u>SOLUTION: </u>

Given, Zara has paper rectangles of different sizes

Every rectangle is 5 cm longer than it is wide

We have to find that is there a proportional relationship between the length and width of these rectangles.

From the given information, length is 5 cm longer than width for any rectangle.

Then, length of rectangle = 5 + width of rectangle.

When we increase width of rectangle length also increases. From above equation.

Hence, length and width of any rectangle is directly proportional.

4 0

3 years ago