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Advocard [28]
3 years ago
6

Solve by using the quadratic formula: Simplify

Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

-6 - square root 31, -6 + square root 31

almond37 [142]3 years ago
3 0

Answer:

x = \frac{48 - \sqrt{1984} }{-8}

x = \frac{48 + \sqrt{1984} }{-8}

Step-by-step explanation:

-4x^{2} - 48x - 20 = 0

Remember, the quadratic formula is:

x = \frac{-b +- \sqrt{b^{2} -4ac }  }{2a}

A quardatic equation in standard form is;

ax^{2} + bx + c

Substitute in the values and solve;

\frac{48 +- \sqrt{(-48)^2 - 4 * (-4) * (-20)} }{2*(-4)}

Simplify;

\frac{48 +-\sqrt{2304 -320} }{-8}

x = \frac{48 +- \sqrt{1984} }{-8}

x = \frac{48 - \sqrt{1984} }{-8}

x = \frac{48 + \sqrt{1984} }{-8}

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Graph the circle (x+6)^2 + (y+5)^2 =9
Andrei [34K]

Answer:

This a circle centered at the point (-6,-5), and of radius "3" as it is shown in the attached image.

Step-by-step explanation:

Recall that the standard formula for a circle of radius "R", and centered at the point (x_0,y_0) is given by:

(x-x_0)^2+(y-y_0)^2=R^2

Therefore, in our case, by looking at the standard equation they give us, we extract the following info:

1)  R^2 = 9\,\,\,then\,\,\,R=3  since the radius must be a positive number and (R=-3) is not a viable answer.

2) x_0=-6    for ( x-x_0) to equal   (x+6)

3) y_0=-5    for ( y-y_0) to equal   (y+5)

Therefore, we are in the presence of a circle centered at the point (-6,-5), and of radius "3". That is what we draw as seen in the attached image.

5 0
3 years ago
Grant can pick 9 tomatoes in 12 minutes. How many tomatoes can grant pick in one hour?
blagie [28]

Answer:

45 tomatoes

Step-by-step explanation:

1 hour = 60 minutes

60 ÷ 12 = 5

you can get 9 tomatoes every 12 minutes, 5 times in one hour

9 × 5 = 45

3 0
3 years ago
2) Which statement is correct?
prohojiy [21]
Answer = a

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3 0
3 years ago
Darla budgeted $150 per week for food. Her actual monthly amount was an average of $700. Did Darla budget correctly?
mote1985 [20]
Yes she did :):):):):):)
6 0
3 years ago
48 divided by 76.8<br> I am very confused on the two digits numbers
Anestetic [448]
It’s 1.600 because it’a not the same when you round and it has different type of decimal places.
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