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Luda [366]
2 years ago
7

How do I find the vertex and the standard form? Plz explain

Mathematics
1 answer:
xenn [34]2 years ago
7 0

Answer:

Vertex form

y = -4(x + 3)^2 + 10

Standard form;

y = -4x^2-24x - 26

Step-by-step explanation:

Mathematically, we have the vertex form as

y = a(x-h)^2 + k

(h,k) represents the vertex

We have h as -3 and k as 10

y = a(x+3)^2 + 10

To get a, we substitute any of the points

Let us use (-1,-6)

-6 = a(-1+3)^2 + 10

-6-10 = 4a

4a = -16

a = -16/4

a = -4

So we have the equation as;

y = -4(x+3)^2 + 10

For the standard form;

We expand the vertex form;

y = -4(x + 3)(x + 3) + 10

y = -4(x^2 + 6x + 9) + 10

y = -4x^2 - 24x -36 + 10

y = -4x^2 -24x -26

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Answer:

See below

Step-by-step explanation:

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8 0
2 years ago
Realiza estas operaciones y expresa el resultado en metros 1m-(5dm3cm) (2hm4m)+35dam (3hm6dam)+(8dam5m) (2m5dm6cm)-85cm
ivolga24 [154]

Answer:

126.109,63 m

Step-by-step explanation:

Por conveniencia, todas las unidades se convierten a m

1000 m = 1 km

100 m = 1hm

10m = 1 presa

1 m = 1 m

10dm = 1m

100 cm = 1 m

1000 mm = 1 m

1m- (5dm3cm) (2hm4m) + 35dam (3hm6dam) + (8dam5m) (2m5dm6cm) -85cm

= 1m- (5/10 +3/100) (2 * 100 + 4m) + 35 * 10 (3 * 100 + 6 * 10) + (8 * 10 + 5m) (2m + 5/10 + 6/100 ) -85/100

= 1 m- (0.5 +0.03) (200 + 4m) +350 (300 +60) + (80 + 5m) (2m + 0.5 + 0.06) -85/100

= 1 m- (0,53) (204 m) +350 (360) + (85 m) (2,56) -85/100

= 1 m- (108,12 m) +126000+ (217,6) - 0,85

= 126.109,63 m

For convenience all units are converted to m

1000m = 1km

100 m= 1hm

10m = 1 dam

1m= 1m

10dm= 1m

100 cm= 1 m

1000 mm= 1m

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= 1m-(0.5 +0.03) (200 +4m)+350 (300 +60)+(80+5m) (2m+0.5+0.06)-85/100

= 1m-(0.53) (204m)+350 (360)+(85m) (2.56)-85/100

= 1m-(108.12m)+126000+(217.6)- 0.85

= 126,109.63 m

5 0
3 years ago
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ASHA 777 [7]

Answer:

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Read 2 more answers
Plz need help on this
Ipatiy [6.2K]
Oh my umm I don’t know sorry
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