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lbvjy [14]
3 years ago
12

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0

Answer:

x =  -2 ±sqrt(7)

Step-by-step explanation:

3x^2 +12 x = 9

Divide each side by 3

3x^2 /3 +12x/3 = 9/3

x^2 +4x = 3

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add it to each side

x^2 +4x+4 = 3+4

x^2 +4x+4 = 7

(x+2)^2 = 7

Take the square root of each side

x+2 = ±sqrt(7)

Subtract 2 from each side

x+2-2 = -2 ±sqrt(7)

x =  -2 ±sqrt(7)

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Please help me if you can with this math problem
Viefleur [7K]

Answer:

m<BAC = 34

Step-by-step explanation:

It is given that (<BOC) is a central angle with a degree measure of (68). A central angle is an angle whose vertex is the center of the circle. (<BAC) is an inscribed angle, an angle whose vertex is on the circumference (perimeter) of the circle. Arc (BC) connects the ends of both of these angles.

The central angle theorem states that the measure of the central angle is equivalent to its surrounding arc. Using this theorem, one can state the following,

m<BOC = BC = 68

The inscribe angle theorem states that the measure of the arc surrounding the inscribed angle is twice the measure of the inscribed angle. Applying this theorem, one can state the following,

2(m<BAC) = (BC)

2 (m<BAC) = 68

m<BAC = 34

8 0
3 years ago
Which numbers are a distance of 1/2 unit from 3/5 on a number line
svp [43]

Answer:1/10

1/100

Step-by-step explanation:

8 0
3 years ago
Evaluate -2 - -2 x 6
Ugo [173]

Answer:

-2 - (-2) x 6

-2 + 2 x 6       ---> A negative times a negative equals a positive.

-2 + 12 = 10

Your answer is 10

5 0
3 years ago
A "true or false" quiz consists of 10 questions. How many possible ways might the 10 questions be answered?
My name is Ann [436]
Well, if all answers are true OR false, and there are 10 questions only, then it would simply be 20 different ways, I believe.
~Hope this helps!
5 0
3 years ago
The maker of an automobile advertises that it takes 12 seconds to accelerate from 20 kilometers per hour to 65 kilometers per ho
sp2606 [1]

Answer:

The acceleration is 1.0416 m/s^{2}

Step-by-step explanation:

In order to solve this problem we first need to know the formula for acceleration which is the following.

acceleration = \frac{final.velocity - initial.velocity}{final.time - initial.time}

Since the time acceleration is calculated as m/s^{2} we need to convert the km/h into m/s. Since 1km = 1000m and 1 hour = 3600 seconds, then

\frac{20*1000 }{3600s} = \frac{20,000m}{3600s} = \frac{20m}{3.6s}

**<u><em>Dividing numerator and denominator by </em></u><u><em>1000 </em></u><u><em>to simplify</em></u>**

\frac{65*1000 }{3600s} = \frac{65,000m}{3600s} = \frac{65m}{3.6s}

**<u><em>Dividing numerator and denominator by </em></u><u><em>1000</em></u><u><em> to simplify</em></u>**

Now we can plug in the values into the acceleration formula to calculate the acceleration.

acceleration = \frac{\frac{65m}{3.6s}-\frac{20m}{3.6s} }{12s-0s}

acceleration = \frac{\frac{45m}{3.6s}}{12s}

acceleration = \frac{\frac{12.5m}{s}}{12s}

acceleration = \frac{\frac{1.0416m}{s}}{s}

Finally we can see that the acceleration is 1.0416 m/s^{2}

8 0
3 years ago
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