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Contact [7]
3 years ago
9

Martina filled 100 mL container with water. Simone field a 1.2 L container. How much water more water did Simone have her contai

ner?
Mathematics
1 answer:
Helga [31]3 years ago
5 0

20 mL

hope this helps

                                            

              

     

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Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
Read 2 more answers
Maya owns a house valued at $432,600. She still owes $233,458 on her mortgage. How much equity does she have in the house? (3 po
IRISSAK [1]

Answer:

$199,142

Step-by-step explanation:

Given that

The value of the house i.e. assets is $432,600

The mortgage i.e. liability is $233,458

We need to find out the equity

As we know that

The accounting equation is

Total assets = Total liabilities + total equity

$432,600 = $233,458 + total equity

So, the total equity is

= $432,600 - $233,458

= $199,142

7 0
2 years ago
Help pleasee<br> Qn is attached belowww <br> PLEASE HELPP
Simora [160]

Answer:

QR = 65.4 m

Step-by-step explanation:

a. Apply Law of Cosines to find QR:

p² = q² + r² - 2qr × Cos P

p = QR = ?

q = PR = 150 m

r = PQ = 120 m

P = 25°

Plug in the values

p² = 150² + 120² - (2)(150)(120) × Cos(25°)

p² = 22,500 + 14,400 - 36,000 × 0.9063

p² = 36,900 - 32,626.8

p² = 4,273.2

p = √4,273.2

p ≈ 65.4 m (nearest tenth)

QR = 65.4 m

7 0
3 years ago
GIVING BRAINLIEST Consider these proportions: 3:7.5 4:10 5:12.5 6:15 Which of the following proportions belongs to the above set
Aleksandr-060686 [28]

Answer:

........ It's C. ............

7 0
3 years ago
У - 6x = ||<br> -77<br> - 2x-3y=-7
Maksim231197 [3]

Answer:

<h2>x= 37/16</h2><h3>y=199/8</h3>

Step-by-step explanation:

1....y=11+6x

-77-2x+3y=-7

replace y by ..1..

so   -77-2x+3(11+6x)=-7

-77-2x+33+18x=-7

-44+16x=-7

16x=37

y=11+6x

replace x by 37/16

y=11+6*37/16

y=199/8

6 0
3 years ago
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