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3 years ago

(3x - 1)+(x ^ 2 + 5x - 4)

Mathematics

1 answer:

RideAnS [48]3 years ago

5 0

Answer: if it is simply then the answer is 3x^3+14x^2-17x+14

Step-by-step explanation:

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Simplify the expression so there is only one positive power for the base, -5........ -5^7/-5^2

ELEN [110]

-5^7/-5^2=5^7/5^2= 5^(7-2)=5^5 this is the answer

3 0

3 years ago

Help please, my teacher is horrible at explaning

Inessa05 [86]

10 hours and 10 minutes

6 0

3 years ago

Read 2 more answers

42% of attendees at Martika's wedding order the steak for dinner. There are 350 people at the wedding. How many people will eat

Dominik [7]

Answer:

147 people

Step-by-step explanation:

0.42*350=147

5 0

3 years ago

Given that sec (x) = 2 and cosec (x) is negative,

weeeeeb [17]

Answer:

i) sin(2x) = $-\frac{\sqrt{3}}{2}$

ii) cot(x+360) = $-\frac{\sqrt{3}}{3}$

iii) sin(x-180) = $\frac{\sqrt{3}}{2}$

Step-by-step explanation:

sec(x) = 2

Since cos(x) is reciprocal of sec(x), this means:

cos(x) = $\frac{1}{2}$

cosec(x) is negative , this means sin(x) is also negative. The only quadrant where cos(x), sec(x) are positive and sin(x), cosec(x) are negative is the 4th quadrant. Hence the terminal arm of the angle x is in 4th quadrant.

Part i)

sin(2x) can be simplified as:

sin(2x) = 2 sin(x) cos(x)

First we need to find the value of sin(x). According to Pythagorean identity:

$sin^{2}(x)=1-cos^{2}(x)\\\\ sin(x)=\pm \sqrt{1-cos^{2}(x)}$

Since, angle is in 4th quadrant, sin(x) will be negative. So considering the negative value of sin(x) and substituting the value of cos(x), we get:

$sin(x)=- \sqrt{1-cos^{2}(x)}\\\\ sin(x)=-\sqrt{1-(\frac{1}{2})^{2}}\\\\ sin(x)=-\frac{\sqrt{3}}{2}$

So,

$sin(2x)=2 \times -\frac{\sqrt{3} }{2} \times \frac{1}{2}\\\\ sin(2x)=-\frac{\sqrt{3}}{2}$

Part ii)

We have to find cot(x + 360)

An addition of 360 degrees to the angle brings it back to the same terminal point. So the trigonometric ratios of the original angle and new angle after adding 360 or any multiple of 360 stay the same. i.e.

cot(x + 360) = cot(x)

$cot(x) = \frac{cos(x)}{sin(x)}\\$

Using the values, we get:

$cot(x)=\frac{\frac{1}{2}}{-\frac{\sqrt{3}}{2} }\\\\ cot(x)=-\frac{\sqrt{3}}{3}$

Part iii)

We need to find the value of sin(x - 180)

sin(x - 180) = - sin(x)

Addition or subtraction of 180 degrees changes the angle by 2 quadrants. The sign of sin(x) becomes opposite if the angle jumps by 2 quadrants. For example, sin(x) is positive in 1st quadrant and negative in 3rd quadrant.

So,

sin(x - 180) = $-(-\frac{\sqrt{3}}{2}) = \frac{\sqrt{3}}{2}$

6 0

3 years ago

A little Challenge.

zubka84 [21]

Step-by-step explanation:

the total area of circles =

(2 × π × 1²) + (3 × π × 0.5²)

= (2π) + ( 3× 0.25×π)

= 2π + 0.75π

= 2.75π

assume π=3.14

so, the total area =

2.75 × 3.14 = 8.635

6 0

2 years ago