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VladimirAG [237]
3 years ago
12

What is 2x2+11x-15=0

Mathematics
1 answer:
Elanso [62]3 years ago
4 0
2x^{2} + 11x - 15 = 0

Use the quadratic equation:
x = \frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}
= \frac{-11 \pm \sqrt{121 - 4(2)(-15)}}{4}
= \frac{-11 \pm \sqrt{121 + 120}}{4}
= \frac{-11 \pm \sqrt{241}}{4}

\therefore x = \frac{-11 + \sqrt{241}}{4}
or x = \frac{-11 - \sqrt{241}}{4}
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stepan [7]

Answer:

(a) P = 2x + 2r + 2πr

(b) x = ½(P - 2r - 2πr)

(c) x = 123 feet

Step-by-step explanation:

See Attachment for sketch of the track

Solving for (a): Perimeter of the track

This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.

P = Perimeter of Rectangle + Perimeter of 2 Semicircles

P = 2(x + r) + 2 * πr

[Where r is the radius of both semicircles]

Open bracket

P = 2x + 2r + 2πr

Solving for (b): Formula for x

P = 2x + 2r + 2πr

Make x the subject of formula

2x = P - 2r - 2πr

Divide both sides by 2

x = ½(P - 2r - 2πr)

Solving for (c): the value of x when r = 50 and P = 660

Substitute the given values in the formula in (b) above

x = ½(P - 2r - 2πr)

x = ½(660 - 2 * 50 - 2π * 50)

x = ½(660 - 100 - 100π)

x = ½(560 - 100π)

Take π as 3.14

x = ½(560 - 100 * 3.14)

x = ½(560 - 314)

x = ½ * 246

x = 123 feet

6 0
3 years ago
What is the constant rate of change in the equation?<br> Y=5x+10
mezya [45]

Answer:

m =5

Step-by-step explanation:

================================================

The "<em>constant rate of change</em>" is also known as the slope (in straight line equations).

The equation is in <em>slope-intercept form</em>.

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<em>Slope-Intercept Form is: </em>

<em></em>y = mx + b\\&#10;\rule{150}{0.5}\\&#10;\text{m - slope}\\&#10;\text{b - Y-Intercept}

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<em>Since '5' takes up 'm's spot, it is the slope, or the constant rate of change. </em>

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<em>Hope this helps.</em>

6 0
3 years ago
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bonufazy [111]

Answer:

Step-by-step explanation:

B, y=5x

7 0
3 years ago
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The price of 7 cell phones, 9 TV sets and 12 air-conditioners is
mezya [45]

here, 7 cellphone,9 Tv, 12airconditioners = 8723

5 cellphone,7 Tv, 12airconditioners = 6523

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2,2,3=2191

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Answer:

Step-by-step explanation:

c

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