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2 years ago

Is the discriminant of g positive, zero, or negative?

Mathematics

1 answer:

Orlov [11]2 years ago

4 0

Answer:

Negative

Step-by-step explanation:

Positive discriminant: graph cuts x axis twice

Zero discriminant: graph touches x axis once

Negative discriminant: graph does not cut or touch x axis

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Please explain your answer. THX!

Elden [556K]

Answer:

see explanation

Step-by-step explanation:

(3)

Given cosΘ = - $\frac{4}{5}$

Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )

Since Θ in second quadrant then sinΘ > 0

sinΘ = $\frac{3}{5}$

Using the trigonometric identity

sin2Θ = 2sinΘcosΘ, then

sin2Θ = 2 × $\frac{3}{5}$ × - $\frac{4}{5}$ = - $\frac{24}{25}$

(4)

Using the trigonometric identity

cos(x - y) = cosxcosy + sinxsiny

note cos15° = cos(45 - 30)°

cos(45 - 30) = cos45cos30 + sin45sin30

= ( $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ ) + ( $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$ )

= $\frac{\sqrt{2(\sqrt{3}+1) } }{4}$

4 0

2 years ago

The base of a parallelogram is 3 times the parallelogram's height.

Genrish500 [490]

Answer:

let height of ||g be 'b', then base of ||g be 3b.

area of ||g=base×height

75cm

=3b×b

=25

b=5cm, therefore height =5cm

3 0

2 years ago

Read 2 more answers

How much does a customer pay for an article marked at $50 if a sales tax of 6% is charged?

Brrunno [24]

Answer:

53$

Step-by-step explanation:

6% of 50 is 3, 50+3=53

6 0

2 years ago

6. Polynomial Division<br> Divide. (3x4 – 3x3 – 6x –10) ÷ (x – 2)

vovangra [49]

Answer:

Quotient = -6

Remainder = -19

Step-by-step explanation:

(3*4 - 3*3 - 6x-10) / (x-2)

= (12 - 9 - 10 - 6x) / (x-2)

= (-6x -7) / (x-2)

Quotient = -6

Remainder = -19

7 0

2 years ago

Laura brought a new set of headphones for $4.45 and a video game for 9.55. if she paid with a $20 bill, how much change did she

Aliun [14]

Answer:

first we should add both purchase price

$4.45 + $9.55 = $14

so that

$20 - $14

=$6

6 0

2 years ago