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VMariaS [17]
3 years ago
15

Simplify the expression, sin2x + sinx + cos2x - 1

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

2sinxcosx + sinx +1-2sin²x-1

2sinxcosx+sinx-2sin²x

sinx (2cosx+1-2sinx)

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Please helpp?? hshahshsh
bixtya [17]

Answer:

2(4a + 1)

Step-by-step explanation:

combined like terms: 4a + 6a - 3a and 5 + 3 - 6

when you combined these 2 terms, it's 8 a + 2

8 a + 2 = 2(4a + 1)

your choices:

2(8a + 1) = 16a + 2 ( not what we are looking for)

2(8a + 2) = 16a + 4 ( not what we are looking for)

2(4a + 1) = 8a + 2 ( the answer that we are looking for)

8a + 4 ( we are looking for 8a+ 2 not 8a + 4)

Therefore, 2(4a + 1) is the correct answer

5 0
3 years ago
Read 2 more answers
95 POINTS! PLEASE HELP <br> See picture for true or false math problems. Solve all please
givi [52]

Answer:

1) True

2) True

3) False

4) True

5) True

Step-by-step explanation:

1) -2《3 - 3

-2《0

-2》-3 - 2

-2》-5

2) 4 > -3 + 3

4 > 0

4 > 1 + 2

4 > 3

3) -2《0 - 6

-2《-6 is false

4) 0 - 3 < 4

-3 < 4

0 + 3 > -1

3 > -1

5) 0 > -6 - 3

0 > -9

0 < 3 + 6

0 < 9

4 0
3 years ago
What are like terms? How do you combine them? Whats an example <br> I NEED HELP ASAP PLEASE
sergey [27]

Answer:

like terms are terms that have the same variable

Step-by-step explanation:

when combining like terms we add their coefficients for example 4x + 5x = (4+5)x=9x

7 0
3 years ago
Read 2 more answers
Use the quadratic function f(x) = 2x^2 + 4x - 15. Find any x intercepts.
8_murik_8 [283]

So for this function we will be using the quadratic formula, which is x=\frac{-b+\sqrt{b^2-4ac}}{2a},\frac{-b-\sqrt{b^2-4ac}}{2a} , to solve. a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, we can solve for the zeros (x-intercepts) as such:

x=\frac{-4+\sqrt{4^2-4*2*(-15)}}{2*2},\frac{-4-\sqrt{4^2-4*2*(-15)}}{2*2}\\ \\ x=\frac{-4+\sqrt{16-(-120)}}{4},\frac{-4-\sqrt{16-(-120)}}{4}\\ \\ x=\frac{-4+\sqrt{136}}{4},\frac{-4-\sqrt{136}}{4}\\ \\ x=1.92,-3.92

In short, your x-intercepts (rounded to the hundredths) are (1.92,0) and (-3.92,0).

6 0
4 years ago
A train leaves at 11:32 and arrives at 13:24. It travelled at an average speed of 85 km/h.
Blababa [14]

Answer:

<h2>33.2Km</h2>

Step-by-step explanation:

<h3>Time used for journey = </h3>

13 : 24 - 11 : 32 = 1 : 92

1 : 92 = 1 hour 92 minutes

1 hour 92 minutes = 2 hours 32 minutes

<h3>changing 32 minutes to hours</h3>

1 h = 60 min

x = 32 min

x= 32 /60

x= 8/15 hours

<h3>Adding the 2hours to 8/15 hours</h3>

8/15 h + 2 h = 38 / 15

<h3>Using formula for distance</h3>

Distance = Speed × Time

Distance = 85km / h × 38 /15 h

Distance = 33.15 km

To 1DP = 33.2

3 0
3 years ago
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