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Arlecino [84]
3 years ago
12

X = -8 ± √(8)^2 - 4(1)(12) ---------- 2(1)

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0
x=\frac{-8\pm\sqrt{8^2-4(1)(12)}}{2(1)}\\x=\frac{-8\pm\sqrt{64-48}}{2}\\x=\frac{-8\pm\sqrt{16}}{2}\\x=\frac{-8\pm\sqrt{16}}{2}\\x =\frac{-8\pm4}{2}\\x=\frac{-8+4}{2} \ or \ \frac{-8-4}{2}\\x=\frac{-4}{2} \ or \ \frac{-12}{2}\\x=-2 \ or \ x=-6
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3 0
3 years ago
The path of a projectile launched from a 16-ft-tall tower is modeled by the equation y = −16t2 + 64t +16. What is the maximum he
Aleks04 [339]

Answer:

<h3>80 feet</h3>

Step-by-step explanation:

Given the path of a projectile launched from a 16-ft-tall tower modeled by the equation y = −16t^2 + 64t +16

h is the maximum height reached

t is in seconds

The velocity of the projectile at its maximum height is zero;

velocity v = dy/dt

v = -32t + 64

Since v = 0 at maximum height

0 = -32t + 64

32t = 64

t = 2secs

Substitute t = 2secs into the equation of the height to get the maximum height.

y = −16t^2 + 64t +16

at t = 2secs

y = −16(2)^2 + 64(2) +16

y = -64 + 128 + 16

y = 64+16

y = 80 feet

Hence the maximum height, in feet, reached by the projectile is 80 feet

5 0
3 years ago
A. 0.75s+0.4t=980<br><br> B. 0.75s-0.4t=980<br><br> C. 0.75s+0.04t=980<br><br> D. 0.75s-0.04t=980
Natalka [10]
C is the correct answer
6 0
3 years ago
ZA and B are supplementary angles. If mA = (7x + 7)° and m
Wittaler [7]

Answer:

∠B = 54 °

Step-by-step explanation:

If sum of two angles add up to 180°, then the two angles are called supplementary.

   m∠A + m ∠B = 180°

7x + 7 + 4x - 14 = 180

7x + 4x + 7 - 14 = 180

        11x  - 7       = 180

                    11x = 180 + 7

                     11x = 187

                        x = 187 ÷ 11

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m∠B = 4x - 14

        = 4*17 - 14

         = 68 - 14

\sf \boxed{\bf \angle B = 54^\circ}

5 0
1 year ago
Keira created color panels for a wall using a mix of only red and blue paints. She plotted the quantities of red and blue paints
finlep [7]
<span>Hey there!

I believe these are the options?

3 ≤ x ≤ 12 or x is between 3 and 12, inclusive 
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</span>
The answer is the 3rd option
8 0
3 years ago
Read 2 more answers
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