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natali 33 [55]
3 years ago
11

Solve the quadratic equation by completing the square.

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

Answer:

x = -4.59, -7.41.

Step-by-step explanation:

x^2 + 12x + 34 = 0

(x + 6)^2 - 36 +34 = 0

(x + 6)^2 = 36 - 34 = 2

x + 6 = +/-√2

x =   +/-√2 - 6

x = -4.59, -7.41

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Which graph represents this system?<br><br> 2 x minus 5 y = negative 5. y = two-fifths x + 1.
Softa [21]

Answer:

The answer is the first graph.

Step-by-step explanation:

I did it on edge. I got it wrong the first time because I used an answer from this question. Because of that, I reported it. Now I have the correct answer lol.

6 0
3 years ago
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Find the x-intercept of the parabola with vertex (1,-13) and y-intercept (0,-11).
Advocard [28]
1. find equation

general solutions are:
y = a x^{2} +bx +c \\ \\ \frac{dy}{dx} = 2ax +b

for P(0,-11)

-11 = 0a + 0b +c ⇒c = -11

for p(1,-13)
-13 = 1a + 1b -11 \\ a+b = -2

and

0 = 2a + b \\ b = -2a

solve for a and b:
a - 2a = -2 \\ a = 2 \\ b = -4

the total equation is now:

y = 2 x^{2} -4x -11

To find the x-intercept set y=0 and solve for x

0 = 2 x^{2} -4x-11
4 0
3 years ago
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What is the standard form of this polynomial: 7 - x³ + 2x - 4x²?
Nadya [2.5K]

Answer:

−x^3−4x^2+2x+7

Step-by-step explanation:

3 0
2 years ago
What is<br> a-7=21 it’s for class obviously
arlik [135]

Answer:

28

Step-by-step explanation:

7+21=28

a-7=21

8 0
3 years ago
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How do I complete this question on arc length?
tresset_1 [31]

Answer:

v ≈ 8.5 km/h

Step-by-step explanation:

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Use the radius of the water wheel to find it's circumference C:

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⇒ C=2\pi (1.5)

⇒ C=3\pi m

One revolution of the water wheel corresponds to 3\pi meters so the angular velocity 15 rmp (revolutions per minute) corresponds to:

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Using this result, the speed of the river in kilometers per hour will be:

v=\frac{45\pi m }{1 min} ×  \frac{1 km}{1000 m} × \frac{60 min}{1 h}

⇒ v=8.48230016469  km/h

⇒ v ≈ 8.5 km/h

5 0
3 years ago
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