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3 years ago

What is the value of p?

Mathematics

1 answer:

Tresset [83]3 years ago

5 0

ANSWER

$p = - 2$

EXPLANATION

The given equation is

$x = - \frac{1}{8}{y}^{2}$

Multiply both sides by -8

$\implies \: {y}^{2} = - 8x$

We now compare this to the general equation of the parabola:

${y}^{2} = 4px$

This implies that,

$4p = - 8$

Divide both sides by 4.

$p = \frac{ - 8}{4}$

$p = - 2$

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3x - 3y = 9 and x + 3y = 12 <br> Elimination

Firlakuza [10]

Answer:

$x=5.25,y=2.25$

Step-by-step explanation:

We can add the two equations to eliminate the variable $y$ and solve for $x$ :

$3x-3y+x+3y=9+12$

$4x=21$

$x=5.25$

Now, we can use substitution to solve for $y$ :

$x+3y=12$ (given)

$5.25+3y=12$

$3y=12-5.25$

$=6.75$

$y=2.25$

Hope this helps :)

8 0

3 years ago

An athlete eats 85 grams of protein per day while training. How much is this in milligrams (mg)? plz hurry I have a test soon

Ganezh [65]

<h2>Answer:</h2><h3 /><h3>Your answer would be <u>85,000 milligrams.</u></h3><h2></h2><h2>Step-by-step explanation:</h2><h3 /><h3>The conversion rate for grams to milligrams is 1 Gram = 1000 Milligrams, so I multiplied 85 by 1000 on i got my answer which is <u>85,000 Milligrams.</u></h3><h3><u /></h3><h3> Hope this helped! and have a great day!</h3>

4 0

3 years ago

Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Oliver spent 4 an

LUCKY_DIMON [66]

The time taken by Oliver to complete the work is less than or equal to twice the work done by Karissa.

Option B shows the correct equation of inequality to write the time taken to complete the work.

<h3>What is inequality?</h3>

Inequality can be defined as a relation that makes a non-equal comparison between two numbers or other mathematical expressions.

Given that Oliver completed his project in no more than twice the amount of time it took Karissa to complete her project. Also, the time taken to complete the project is,

Oliver = 4 and one-fourth hours

Karissa = K hours

As per the given condition, the work done by Oliver should not be more than twice the work done by Karissa. It can be equal or less. So we can write this in equation form as,

Oliver $\leq$ 2 Karissa

$4\dfrac {1}{4} \leq 2K$

Hence Option B shows the correct equation of inequality to write the time taken to complete the work.

To know more about inequality, follow the link given below.

brainly.com/question/363094.

5 0

2 years ago

5 out of 7 students voted to paint the benches. a total of 185 voted to paint the benches. how many students voted?

jeka57 [31]

Let x = number of students then by proportion:-

5/7 = 185 / x

x = (7 * 185) / 5

= 259 Answer

7 0

3 years ago

What is the area of the rectangle in square units and how can i explain my answer

ZanzabumX [31]

The area of your rectangle will vary depending on the dimensions. The area of any rectangle can be found with a simple equation...

Area = Length x Width or A = l x w

The answer to the area question will ALWAYS be in square units because when you multiply, you also multiply the units so, for example 2 inches x 2 inches = 4 inches^2.

Let's take a look at an example... You have a rectangle with a length of 8 feet and a width of 4 feet. What's the area?

Well... Area = Length x Width, so

Area = 8 ft x 4 ft
Area = 32 ft^2

Easy as that!

6 0

3 years ago