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3 years ago

Subtract these polynomials. (3x2 – 2x + 5) – (x2 + 3) =

Mathematics

2 answers:

Crazy boy [7]3 years ago

8 0

I would say that the answer is “D” ( 2x2 - 2x + 2 )

VladimirAG [237]3 years ago

6 0

$(3 {x}^{2} - 2x + 5) - ( {x}^{2} + 3) \\ = 3 {x}^{2} - {x}^{2} - 2x + 5 - 3 \\ = 2 {x}^{2} - 2x + 2 \\ = 2( {x}^{2} - x + 1)$

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Which ordered pair is a solution of the inequality? 3y-6<12x

BartSMP [9]

The answer is 3. (4, -2)

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4 years ago

State whether the figure has rotational symmetry. If so, what is the angle of rotation? Round your answer to the nearest tenth o

Bezzdna [24]

This is an octagon, which has 8 sides.
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4 0

4 years ago

Read 2 more answers

Please help immediately

frutty [35]

The answer is D

Hope this helped

4 0

4 years ago

Read 2 more answers

Find (a) arc length and (b) Area of a sector.

barxatty [35]

Answer:

a) 29.45 cm (2 dp)

b) 220.89 cm² (2 dp)

Step-by-step explanation:

<u>Formula</u>

$\textsf{Arc length}=r \theta$

$\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta$

$\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}$

<u>Calculation</u>

Given:

$\theta=\dfrac{5 \pi}{8}$
r = 15 cm

$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 15\left(\dfrac{5 \pi}{8}\right)\\& = \dfrac{75}{8} \pi \\& = 29.45\: \sf cm\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(15^2) \left(\dfrac{5 \pi}{8}\right)\\\\& = \dfrac{225}{2}\left(\dfrac{5 \pi}{8}\right)\\\\ & = \dfrac{1125}{16} \pi \\\\& = 220.89 \: \sf cm^2\:(2\:dp)\end{aligned}$

5 0

2 years ago

Unicorns can live forever but they remain children for 261 months. How many years is that in total?

11111nata11111 [884]

Answer:

21.75 years (Almost 22 years)

21 years and 9 months. :)

Step-by-step explanation:

There are 12 months in a year.

261/12 = 21.75

.75 = 3/4

3/4(12) = 9 months

Hope that helps!

6 0

3 years ago