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Aleonysh [2.5K]
3 years ago
14

What is the third step in simplifying this equation (10-7) + (2*14/4)

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0
The first step is 10 - 7 + (2)(14)/4 which equals (2-step) = 3 + 28/4 (3-step) = 3 + 7 (finale-step) = 10
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If discriminant (b^2 -4ac>0) how many real solutions
MaRussiya [10]

Answer:

If Discriminant,b^{2} -4ac >0

Then it has Two Real Solutions.

Step-by-step explanation:

To Find:

If discriminant (b^2 -4ac>0) how many real solutions

Solution:

Consider a Quadratic Equation in General Form as

ax^{2} +bx+c=0

then,

b^{2} -4ac is called as Discriminant.

So,

If Discriminant,b^{2} -4ac >0

Then it has Two Real Solutions.

If Discriminant,b^{2} -4ac < 0

Then it has Two Imaginary Solutions.

If Discriminant,b^{2} -4ac=0

Then it has Two Equal and Real Solutions.

4 0
3 years ago
Short Response
garik1379 [7]

Answer:

(a)2(89x+84)

(b)2(89x+84-x^2\pi)

Step-by-step explanation:

The dimensions of the larger rectangular field are:

  • Length=5x + 12; Width = 9x + 14.

The dimensions of the smaller rectangular soccer field are:

  • Length=5x; Width = 9x.

(a)Area of the part of the field that is outside the soccer field

=Area of the larger rectangular field - Area of the Soccer Field

=(5x+12)(9x+14)-5x(9x)

=(5x)(9x)+70x+108x+168-5x(9x)

=178x+168

=2(89x+84)

(b)Radius of the Semicircular Fountain =2x

From Part (a),

Area of the larger rectangular field - Area of the Soccer Field=178x+168

Area of the Semicircular Fountain =\dfrac{\pi r^2}{2} =\dfrac{\pi (2x)^2}{2} =\dfrac{4x^2\pi}{2} =2x^2\pi

Area of the Field that does not include the soccer  field or the fountain.

=Area of the larger rectangular field - Area of the Soccer Field-Area of the Semicircular Fountain

=178x+168-2x^2\pi\\=2(89x+84-x^2\pi)

8 0
3 years ago
What is the radius of a circle given by equation x^2 + y^2 - 2x + 8y - 47 = 0
Lera25 [3.4K]
X^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8
7 0
2 years ago
Read 2 more answers
Calculate the diameter of a circle if it's circumference is 25.1
Dmitrij [34]
The answer would be 7.99.
5 0
2 years ago
I need helpppp thank you
anyanavicka [17]

Answer:

B. <

Step-by-step explanation:

you dont even have to reduce the fractions to compare the decimals cause 5 is bigger then 4 off the bat.

3 0
3 years ago
Read 2 more answers
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