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Assoli18 [71]
3 years ago
5

Please help it'll mean a lot :) <33​

Mathematics
1 answer:
gavmur [86]3 years ago
3 0
Your answer is C because 12•10= 12
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For the function, the vertex of the function's graph is given. Find the unknown coefficients.
olga2289 [7]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+b}x\stackrel{\stackrel{c}{\downarrow }}{+c} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)~~=~~(-2,4) \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{b}{2a}=-2\implies -\cfrac{b}{2(1)}=-2\implies -b=-4\implies \boxed{b=4} \\\\[-0.35em] ~\dotfill


\bf c-\cfrac{ b^2}{4 a}=4\implies c-\cfrac{\boxed{4}^2}{4(1)}=4\implies c-\cfrac{16}{4}=4 \\\\\\ c-4=4\implies \boxed{c=8} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=x^2+4x+8~\hfill

7 0
3 years ago
An apartment building has the
KatRina [158]

Answer:

8/17

Step-by-step explanation:

3 0
3 years ago
When leaving a town, a car accelerates from 30 kmh-1 to 60 kmh-1 in 5 s. Assuming the
aleksandr82 [10.1K]

Answer:

B .62.5 m

Step-by-step explanation:

convert Kmh-1 in to ms-1

30 Kmh-1 = (30×1000) ÷3600 = 8.3ms-1

60 Kmh-1 = (60×1000) ÷3600 = 16.6 ms-1

acceleration = (16.6 - 8.3) ÷ 5 = 1.66 ms-2

V^2 = U^2 +2aS

(16.6)^2 = (8.3)^2 + 2×1.66 ×S

S = 62.5 m

6 0
4 years ago
Work out the lengths of sides a and b.
alukav5142 [94]

The length of the missing sides of triangles A and B are 9.43 cm and 12.04 cm respectively.

<h3>Pythagoras theorem</h3>

Triangle A:

  • Height = 8cm
  • Base = 5cm
  • Hypotenuse = x cm

Hypotenuse² = height ² + base²

x² = 8² + 5²

= 64 + 25

x² = 89

x = √89

x = 9.43 cm

Triangle B:

  • Height = 12cm
  • Base = x cm
  • Hypotenuse = 17 cm

Hypotenuse² = height ² + base²

17² = 12² + x²

17² - 12² = x²

289 - 144 = x²

145 = x²

x = √145

x = 12.04 cm

Learn more about right triangle:

brainly.com/question/2217700

#SPJ1

3 0
2 years ago
Camp oaks gets 32 boxes of orange juice and 56 boxes of apple juice each cup holder holds 8 boxes of juice least number o shelve
Neko [114]

Answer: 11 shelves

Step-by-step explanation:

Total number of juice boxes:

= 32 + 56

= 88 boxes

Each cupholder holds 8 boxes. Number of shelves needed is:

= Number of boxes / Boxes per holder

= 88 boxes / 8 boxes per holder

= 11 shelves

8 0
3 years ago
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