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2 years ago

What is the factored form of 6x^2 + 13x + 6?

Mathematics

1 answer:

LekaFEV [45]2 years ago

7 0

Answer:

(3x+2)(2x+3)

Step-by-step explanation:

6x2+13x+6

=(3x+2)(2x+3)

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Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$

Now we can use the identity:

sin²(x) + cos²(x) = 1

$1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1$

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0

1 year ago

Monroe Reservoir, it cost $25 per hour plus $100 deposit to rent a pontoon boat. a. Write an equation that describes the cost c,

makkiz [27]

C = 25h + 100 ......renting for 2 hrs...sub in 2 for h
c = 25(2) + 100
c = 50 + 100
c = 150 <===

if u spend 325...so sub in 325 for c
325 = 25h + 100
325 - 100 = 25h
225 = 25h
225/25 = h
9 = h <=== it was rented for 9 hrs

5 0

3 years ago

Read 2 more answers

Determine the value of w and x in the figure below. (Thanks for the help I really appreciate it!)

storchak [24]

Triangle HAM looks like an isosceles triangle, and we know that in an isosceles triangle 2 of the angles are the same.

so :
180 - 106 = 74 ( sum of the other 2 angles )
74/2 = 37 ( sum of angle HMA / HAM )

angles on a straight line add up to 180.
180-37=143 ( angle x )

since triangle YMH is also an isosceles,
180-37=143
143/2=71.5 ( angle w )

7 0

3 years ago

HELP I DON'T UNDERSTAND THIS AT ALL!!!

Hatshy [7]

D__ is 7.5<x

C is x<10

Step-by-step explanation:

just do the inequality and graph

7 0

2 years ago

What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8?

o-na [289]

Answer:

0.40

Step-by-step explanation:

to find out the probability that at least one of a pair of fair dice lands of 5, given that the sum of the dice is 8

Let A = sum of dice is 8

B = one lands in 5

P(B/A) = P(AB)/P(A) by conditional probability

P(AB) = sum is 8 and one is 5

So (5,3) or (3,5)

P(A) = sum is 8.

i.e. (2,6) (2,6) (3,5) (5,3) (4,4)

Required probability

= n(AB)/n(A)

= $\frac{2}{5} =0.40$

4 0

3 years ago