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Jlenok [28]
2 years ago
5

Factor the expression below

Mathematics
1 answer:
Mazyrski [523]2 years ago
6 0

Answer:

(2x² + 5x + 2) = (2x + 1)(x +2)

Step-by-step explanation:

Given expression is (2x² + 5x + 2).

We have to factorize the given expression.

(2x²+ 5x + 2) = 2x² + 4x + x + 2

                     = 2x(x + 2) + 1(x + 2)

                     = (2x + 1)(x + 2)

So the factored form of the given expression will be (2x + 1)(x + 2).

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A golfer takes two putts to get the ball into the hole. The first putt rolls the ball 10.3 feet in the northwest direction and t
creativ13 [48]

Let's put this on the usual Cartesian grid just so we can talk about it without drawing a picture.  We'll use map conventions, right is east, up is north.

The ball starts at (0,0).   10.3 feet northwest means we have an isosceles right triangle whose diagonal is 10.3 feet.  It's isosceles because northwest means equal parts north and west.   

The sides of these triangles are in ratio 1:1:\sqrt{2} so the coordinates after the first putt are

(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2})

The negative sign indicates west, which doesn't really matter for this problem.  The distance from the origin to this point is 10.3 as required.

Now a second putt of 3.8 feet north puts us at
 
(- 10.3 / \sqrt{2}, 10.3 / \sqrt{2} + 3.8)

The squared distance to the origin is exactly

d^2 = 10.3^2/2 + (10.3 / \sqrt{2} + 3.8)^2

A little calculator work tells us

d \approx 13.2621

Third choice.



3 0
3 years ago
If f(x) = -2x - 3, find f(0) - 7. <br><br><br>help please!! I will give brainliest!!!!
VikaD [51]

Hi there!

\huge\boxed{-10}

f(x) = -2x - 3

Plug in 0 for "x" to solve for f(0):

f(0) = -2(0) - 3

f(0) = -3

Since the question is asking you to evaluate f(0) - 7, simply subtract:

-3 - 7 = -10.

7 0
3 years ago
Please give Examples for real life examples for expressing very small number sin standard form.
Digiron [165]
Scientific notation is a system for expressing very large or very small numbers in a compact manner. It uses the idea that such numbers can be rewritten as a simple number multiplied by 10 raised to a certain exponent, or power.
3 0
3 years ago
Please help! I need the surface area for both. Absurd answer are not tolerated. Thanks if you help!
Natasha_Volkova [10]

Answer:

<h3>Figure 1</h3>
  • Perimeter of base = 5 + 5 + 8 = 18 ft
  • Height = 7 ft
  • Base area = 1/2(8)(3) = 12 ft²

<u>Surface area:</u>

  • S = 18*7 + 2*12 = 150 ft²
<h3>Figure 2</h3>

<u>Surface area of cube:</u>

  • S = 6a² = 6(2.5)² = 37.5 m²

<u>Surface area of prism:</u>

  • S = 2(11 + 9)(7) = 280 m²

<u>Overlapping area:</u>

  • S = 2.5² = 6.25 m²

<u>Surface area of composite figure:</u>

  • S = 280 + 37.5 - 2(6.25) = 305 m²
4 0
3 years ago
Can any one help me at this q
Lisa [10]

Answer:

-14.4

Step-by-step explanation:

the reason being is because 6 degrees celsius is equivalent to 42.8 degrees 14 degrees celsius is equivalent to 57.2 degrees, that stated subtract subtract 57.2 from 42.8 and get -14.4

7 0
3 years ago
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