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asambeis [7]
3 years ago
15

How can i solve by completing the square 4r^2-28r=-49

Mathematics
1 answer:
Natalija [7]3 years ago
3 0
To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.

4r^2 - 28r = -49

\dfrac{4r^2}{4} - \dfrac{28}{4}r = -\dfrac{49}{4}

r^2 - 7r = -\dfrac{49}{4}

Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.

r^2 - 7r + \dfrac{49}{4} = -\dfrac{49}{4} + \dfrac{49}{4}

(r - \dfrac{7}{2})^2 = 0

r - \dfrac{7}{2} = 0

r = \dfrac{7}{2}
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You use 33 cans of soup to serve 55 people. If you want to serve 2020 people, what should you do?
sveticcg [70]
First off, we need to find how much would a people need,by dividing the amount needed.

The equation of how much a people would need:

55÷33
=1.67 or 55/33 (it would be best to keep it in fraction to get a more precise answer)

To find out how much 2020 people need ,we would mutiply the answer above by 2020:

55/33×2020
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Thus,you would have to prepare 3367 can of soup.

hope it helps!
3 0
3 years ago
FOR MATH ITS DUE TODAY
Irina-Kira [14]

Distributive Property is factors a common term by the items that are inside parenthesis.

3(2x + 5)

3 = Factor

3(2x + 5)

2x and 5 = terms

3(2x + 5)

2 = coefficient

The coefficient is the number before the variable.

<em>Ace</em>

5 0
3 years ago
What is the value of 7P3 ? A. 21 B. 35 C. 210 D. 840<br><br> i think a but idk
Aleksandr [31]
The answer is C.
Here's why, nPr = n!/(n-r)!. Plug in 7 for n and 3 for r. And you get 7!/(7-3)!.
Thus, 7!/4! = (7*6*5*4*3*2*1)/(4*3*2*1), which simplifies to 7*6*5 = 210
6 0
3 years ago
Read 2 more answers
PLEASE PLEASE ANSWER THIS FOR ME I REALLY NEED TO UNDERSTAND IT
dexar [7]

Answer:

See answers below for explanations (answers are in bold)

Step-by-step explanation:

<u>Problem 1 (Top left):</u>

Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer

<u>Problem 2 (Top right):</u>

Again, we use the same equation as in Problem 1 but this time, a=12 and b=8, so we then have A = π(8)(12) = 96π = 301.593 units^2 as our final answer

<u>Problem 3 (Bottom left):</u>

We can make this irregular shape into a half-ellipse and a rectangle. We would find their separate areas and add them up. The area of the half-ellipse would be A=1/2πab. The value of "a" would be 13.8/2=6.9 since that's the length of the rectangle. The value of "b" would be 3.5, so that means the area of the half-ellipse would be A = 1/2(π)(6.9)(3.5) = 12.075π = 37.935 units^2.  The width and length of the rectangle are 5.4 and 13.8 respectively, so this means the area of the rectangle is 5.4*13.8 = 74.52 units^2. Combining both areas, we get 37.935+74.52 = 112.455 units^2 as our final answer

<u>Problem 4 (Bottom right):</u>

This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2  

6 0
3 years ago
Will give crown help
yaroslaw [1]

Answer:

There are 5 spaces between point J and I

3 0
3 years ago
Read 2 more answers
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