All categories

2 years ago

Simplifying and combining like terms : 2(x-2)+(x+3)

Mathematics

2 answers:

brilliants [131]2 years ago

7 0

2(x-2)+(x+3)
=(2x-4)+(x+3)
=2x-4+x+3
=3x-1

zheka24 [161]2 years ago

4 0

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

=(2x-4)+(x+3)

=2x-4+x+3

=3x-1

You might be interested in

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answer

vagabundo [1.1K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point a:

$\to \frac{5 \pi }{6}$

calculating a positive coterminal angle:

$\to \frac{5 \pi }{6} + 2 \pi \\\\ \to \frac{5 \pi +12 \pi }{6} \\\\ \to \frac{17 \pi }{6} \\\\$

calculating negative coterminal angle:

$\to \frac{5 \pi }{6} -2\pi \\\\ \to \frac{5 \pi - 12 \pi }{6} \\\\ \to \frac{ - 7 \pi }{6} \\\\$

In point b:

$\to \frac{-9 \pi }{4}$

calculating a positive coterminal angle:

$\to \frac{ -9 \pi }{4} + 2 \pi \ \ = \frac{-9 \pi + 8 \pi }{4} \\\\$

$\to \frac{ - \pi }{4} + 2 \pi \ \ = \frac{- \pi + 8 \pi }{4} \\\\$

$= \frac{ 7 \pi}{4}$

calculating a negative coterminal angle:

$\to \frac{ -9 \pi }{4} - 2 \pi \\\\ \to \frac{-9 \pi - 8 \pi }{4} \\\\ \to \frac{-17 \pi }{4}$

3 0

2 years ago

(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.

nika2105 [10]

Answer:

i think probably x = 1 or 5

Step-by-step explanation:

x²-6x+5 =0

so (x-1)(x-5) = 0

so x = 1 or 5

6 0

1 year ago

What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3. 14 for pi and round y

noname [10]

C=2πr

C=2π6

C=37.6991118431

That's the arc length of the whole circle, i.e. the arc length of 360°.

65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.6991118431 is
6.8067840827819444444444444444444. Rounded to the nearest hundredth, the answer is 6.81 inches.

That's real pi, lets see if it makes a difference to use "stupid pi".

C=2πr

C=2π6

C=37.68

That's the arc length of the whole circle, i.e. the arc length of 360°.

65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.68 is
6.803333333333333333333333. Rounded to the nearest hundredth, the answer is 6.80 inches.
Yep makes a difference. That's why you don't use stupid pi. 3.14159 is what we always used in engineering, or just the pi button and using a ton of digits.

Answer: 6.80 inches.

3 0

2 years ago

an observer on a cliff 1200 feet above sea level sights two ships due East. The angle of depression to the shops are 48° and 33°

ziro4ka [17]

See the attached figure to better understand the problem

we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft

in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft

the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft

the answer is
the distance between the ships is 767.4 ft

4 0

2 years ago

Are the decimals 0.4 and 0.40 equal ?explain

iren [92.7K]

Yes, because no matter how many 0's are after the decimal, the number stays the same.

6 0

2 years ago

Read 2 more answers