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katrin [286]
3 years ago
12

2x^2+10x+12=0 factor with steps

Mathematics
2 answers:
kirill115 [55]3 years ago
7 0
You could take a 2 out of every term

2(x^2 + 5x + 6) = 0

You would then need to find two numbers that add to 5 and multiply to 6

In this case, those numbers are 2 and 3

2(x + 3)(x + 2) = 0

Then to find the roots (or what x equals), set each term equal to 0

(2=0) (reject)

x + 3 = 0
x = -3

x + 2 = 0
x = -2

{-2,-3}
Pie3 years ago
4 0

Answer:

x= -2,-3

Step-by-step explanation:

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A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet
Natali5045456 [20]

Complete Question

A juggler tosses a bowling pin in the air with an initial velocity of 18 ft per second. It leaves his hand when it is five feet from the ground and he catches it when it is four feet from the ground,How long is the ball in the air?

Answer:

t\approx 0.1s

Step-by-step explanation:

From the question we are told that

Initial velocity  V_0= 18 ft/s

Initial Height    h_1=5feet

Final Height     h_2=4feet

Generally the Newtons equation for motion is mathematically given by

   V^2 = U^2 + 2as

Where

    s=h_2-h_1\\s=4-5\\s=-1ft

And

   a=g=>9.81\\a=32.2ft/s^2

Therefore

   V^2 = (18)^2 + 2(-32.2)(-1)

   V^2 = 388.4

   V =19.70786645\\V=19.71ft/s

Generally the equation for Time is mathematically Given as

   t=\frac{V-U}{a}

   t=\frac{19.71-18}{32.2}

   t=0.05310559006

   t\approx 0.1s

Therefore the time spent on air by the ball is

    t=0.05310559006s

4 0
3 years ago
What is Xavier’s available lot coverage?
slavikrds [6]

Answer:

<h2> <em><u>720</u></em><em><u>0</u></em></h2>

Step-by-step explanation:

<h3>At first:</h3>

<em><u>G</u></em><em><u>i</u></em><em><u>v</u></em><em><u>e</u></em><em><u>n</u></em><em><u>,</u></em>

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

<em><u>Therefore</u></em><em><u>,</u></em><em><u> </u></em>

Area of the trapezoid

=  \frac{a + b}{2} c

  • <em>[</em><em>On</em><em> </em><em>putting</em><em> </em><em>the</em><em> </em><em>values</em><em>]</em>

=  \frac{175 + 185}{2}  \times 100

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

= 360 × 50

  • <em>[</em><em>On multiplying</em><em>]</em>

= 18000

<em><u>Hence</u></em><em><u>,</u></em>

We got the <em>T</em><em>otal Area </em><em>as</em><em> </em><em>180</em><em>0</em><em>0</em><em>.</em>

<h3>Now:</h3>

<em><u>As</u></em><em><u> </u></em><em><u>per</u></em><em><u> </u></em><em><u>given</u></em><em><u> </u></em><em><u>equation</u></em><em><u>,</u></em>

  • \frac{40}{100}  =  \frac{x}{total \: area}
  • To find the value of x

<em><u>Solution</u></em><em><u> </u></em><em><u>,</u></em>

=  > \frac{40}{100}  =  \frac{x}{total \: area}

  • <em>[</em><em>On</em><em> </em><em>putting</em><em> </em><em>Total</em><em> </em><em>Area</em><em> </em><em>=</em><em> </em><em>180</em><em>0</em><em>0</em><em>]</em>

=  > \frac{40}{100}  =  \frac{x}{18000}

  • <em>[</em><em>On</em><em> </em><em>cross</em><em> </em><em>multiplication</em><em>]</em>

=> 40 × 18000 = 100 × x

  • <em>[</em><em>O</em><em>n</em><em> </em><em>Simplification</em><em> </em><em>]</em>

=> 720000 = 100x

  • <em>[</em><em>On</em><em> </em><em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>100</em><em>]</em>

=  >  \frac{720000}{100}  =  \frac{100x}{100}

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em> </em><em>]</em>

=> x = 7200

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>Xavier's</u></em><em><u> </u></em><em><u>avaliable</u></em><em><u> </u></em><em><u>lot</u></em><em><u> </u></em><em><u>coverage</u></em><em><u> </u></em><em><u>(</u></em><em><u>x</u></em><em><u>)</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>720</u></em><em><u>0</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

7 0
3 years ago
Plzzzzzzz help this is tonight plzzzzzzz
anzhelika [568]

Answer:

Step-by-step explanation:

tto blurrry

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3 years ago
A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F
Nitella [24]

Answer:  True

Explanation:

Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.

4 0
3 years ago
Name a real- world object that has a top view of a triangle, and a side and front view that are each rectangles.
balu736 [363]
The Flat-iron skyscraper thats in *New York*

Hope this helps!!

*Plz tell me if its NOT in NY*
4 0
3 years ago
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