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likoan [24]
3 years ago
10

Solve x2 + 6x + 7 = 0.

Mathematics
2 answers:
shtirl [24]3 years ago
3 0
The answer to the question

Anna007 [38]3 years ago
3 0

Answer:

Option b) negative 3 plus or minus square root of 2

Step-by-step explanation:

We are given a quadratic equation:

x^2 + 6x + 7 = 0

We use the quadratic formula to find the factors.

x = \displaystyle\frac{-b \pm \sqrt{b^2-4ac}}{2a},\\\\\text{a, b and c are coeficients of }x^2, x^1, x^0 \text{ respectively.}

Hence, comparing with the given equation, a = 1, b = 6 and c = 7

x = \displaystyle\frac{-6 \pm \sqrt{36-28}}{2}\\\\x = \displaystyle\frac{-6 \pm \sqrt{8}}{2}\\\\x = \displaystyle\frac{-6 + 2\sqrt{2}}{2}, \displaystyle\frac{-6 - 2\sqrt{2}}{2}\\\\x = -3 + \sqrt2, x = -3-\sqrt2

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PLEASE HELP REALLY URGENT!!
yawa3891 [41]

Part A

F = 50 N is the force applied along the purple vector

r = 1.5 is the radius (half the diameter 3)

theta = 110 is the angle in which the force vector is applied

Use this formula to plug in the values to find the torque T

T = F*r*sin(theta)

T = 50*1.5*sin(110)

T = 70.4769

<h3>Answer: The torque applied is approximately 70.4769 Newton-meters</h3>

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

Part B

Refer back to the formula in part A. If theta is the variable, then T maxes out when theta = 90 degrees, because sin(theta) is maxed out at 1 here. If theta = 90, then T = F*r. The torque is maxed out when the force vector is perpendicular to the original position vector, this way you get the most push leading to the highest twisting or turning force possible.

<h3>Answer: 90 degrees</h3>

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

Part C

Use the values from part A, but make theta = 90 so that the torque T is maxed out. So we would get the following

T = F*r*sin(theta)

T = 50*1.5*sin(90)

T = 50*1.5*1

T = 75

<h3>Answer: The max torque possible is 75 Newton-meters</h3>
8 0
3 years ago
Sam sees a UFO hovering in the sky. He measures the angle of elevation of the UFO at 30 0. He calls Julie, who is 15 miles close
Marat540 [252]

The UFO moved at 132 mph if i did my calculations correct ;)

3 0
3 years ago
2x+5y=46<br> 5x+3y=58<br><br> what are the x and y values
nadya68 [22]
(X,y)=(8,6)
Step by step explanation:
3 0
3 years ago
When Javier and his father went to dinner, the bill was $34. If they tipped the waiter 20%, how much did they spend in total?
Kamila [148]

Answer:

Not sure if this is right, but I got $40.8.

Step-by-step explanation:

I first turned 20% into a decimal. (0.20).

Then I multiplied 0.20 and 34 which is 6.8.

I then added 34 since it’s the original cost to 6.8 since that’s the tip amount.

After that, you should get $40.8.

4 0
3 years ago
Read 2 more answers
A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
irina1246 [14]

Answer:

(13, 9)

Step-by-step explanation:

Make an equation for the line.

y = 0.5x + b

5 = -3.5 + b

b = 8.5

y = 0.5x + 8.5

Plug them into the equation.

(-13, 9) 9 ≠ -6.5 + 8.5

(-9, 13) 13 ≠ -4.5 + 8.5

(9, 13) 13 = 6.5 + 8.5

(13, 9) 13 ≠ 4.5 + 8.5

7 0
3 years ago
Read 2 more answers
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