All categories

3 years ago

4. Determine the validity of the following biconditional by

Mathematics

1 answer:

mote1985 [20]3 years ago

3 0

Answer:

be more specific so the gang can help you on this question !!

Step-by-step explanation:

You might be interested in

What is the equation of the directrix of the parabola given by the equation y2 = -24x?

erma4kov [3.2K]

The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.

<h3>What is Directrix of a Parabola ?</h3>

A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .

The equation of the parabola given is

y² = -24x

When the standard equation of parabola is

(y - k)² = 4p (x - h),

where the focus is (h + p, k) and the directrix is x = h - p.

here h = 0

p = -24/4 = -6

x = 0 - (-6)

x = 6

Therefore Option D is the correct answer.

To know more about Directrix

brainly.com/question/17376399

#SPJ1

4 0

2 years ago

Which equation has the same solution

Temka [501]

4x^2+48x=20
4x^2+48x+144=164
(2x+12).(2x+12)= + 59rt(164)
-

8 0

2 years ago

What is the reference angle for 192º?

Aleonysh [2.5K]

Answer:

78º

Step-by-step explanation:

Note : -

In mathematics, the reference angle is defined as the acute angle and it is measuring less than 90 degrees. It is always the smallest angle, and it makes the terminal side of an angle with the

x - axis.

Step 1 : -

Find where 192º lies in which quadrant.

192º lies in 3rd quadrant ( between

180º and 270º )

Step 2 : -

Subtract : 270 - 192

270 - 192 = 78º

( Since, 192º is greater than 180º, is subtracted from 270º )

Answer : -

78º is the reference angle for 192º.

3 0

2 years ago

What is the product of (–0.9)(–2.4)? –3.3 –2.16 2.16 3.3

saul85 [17]

The answer would be 2.16.

This is because the two negatives would cancel each other out when multiplying. This would basically make the question $0.9*2.4$ .
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16

7 0

3 years ago

Read 2 more answers

how to integrate <img src="https://tex.z-dn.net/?f=e%5E%7B2s%7D%20%2ACos%20%5Cfrac%7Bs%7D%7B4%7D" id="TexFormula1" title="e^{2s}

icang [17]

Answer:

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

Step-by-step explanation:

Step(i):-

Given that $f(s) = e^{2s} cos\frac{s}{4}$

Now integrating

$\int\limits {f(s)} \, ds = \int\limits {e^{2s} cos\frac{s}{4} ds$

By using integration formula

$\int\limits { e^{ax} cos b x dx = \frac{e^{ax} }{a^{2}+b^{2} } ( a cos b x + b sin b x )$

Step(ii):-

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{e^{2s} }{(2)^{2}+(\frac{1}{4}) ^{2} } ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))$

= $\frac{e^{2s} }{(4+\frac{1}{16})} ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))$

= $\frac{e^{2s} }{(\frac{65}{16} } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))$

= $16 X\frac{e^{2s} }{65 } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))$

= $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

Final answer:-

$\int\limits {e^{2s} cos\frac{s}{4} ds$ = $\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))$

6 0

3 years ago