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3 years ago

The standard form of the equation of a parabola is y= 5x2 + 20x+ 14.

Mathematics

1 answer:

Mama L [17]3 years ago

8 0

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

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Complete the inequality statement. 8 ___ 8 > < =

murzikaleks [220]

Answer:

8 = 8

Step-by-step explanation:

If the numbers are the same, they are equal ( = )

7 0

3 years ago

Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

Given f(x) = -6x - 1 and g(x) = x3, choose the expression for fºg)(x).

Gelneren [198K]

Answer:

- 6x³ - 1

Step-by-step explanation:

Substitute x = g(x) into f(x), that is

(f ￮ g)(x)

= f(x³ )

= - 6(x³) - 1

= - 6x³ - 1

4 0

3 years ago

For each ordered pair, determine whether it is a solution to 2x - 5y=11.

Sidana [21]

Answer:

(3, -1)

Step-by-step explanation:

5 0

3 years ago

The price of a gallon of unleaded gas was $2.80 yesterday. Today, the price rose to $2.87 . Find the percentage increase. Round

marin [14]

Earlier price is 2.80
Current price is 2.87

Increment is
2.87 - 2.80
0.07

Increment percentage is
(0.07 / 2.80) * 100
2.5 %

4 0

3 years ago