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USPshnik [31]
3 years ago
15

How to solve using the quadratic formula. & answer.

Mathematics
1 answer:
bagirrra123 [75]3 years ago
5 0
Quadratic formula

for the equation
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

we are given
x^2-4x+3=0
we don't need to use quadratc formula, we just factor into
(x-3)(x-1)=0
x=3 and 1
but if you want to use quadratic, ok

x^2-4x+3=0
a=1
b=-4
c=3
input
x=\frac{-(-4)+/- \sqrt{(-4)^{2}-4(1)(3)} }{2(1)}
x=\frac{4+/- \sqrt{16-12} }{2}
x=\frac{4+/- \sqrt{4} }{2}
x=\frac{4+/- 2}{2}
x=2+/-1
x=2+1 or 2-1
x=3 or 1


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By what percent will the product of two numbers increase if one of them is increased by 15% and the other is increased by 40%?
Marysya12 [62]

Answer:

61% increase

Step-by-step explanation:

Product of two numbers = x * y = xy

(x + 15%) * (y + 40%)

Due to the fact that x and y are variables, we can add the percents to them

1.15x * 1.4y

Multiply

1.61xy

Calculate percent increase

1.61xy (new amount) - xy (original amount)

------------------------------------------------------------      * 100

                   xy (original amount)

Simplify

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---------  * 100      =     61%

  xy

61% increase

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5 0
4 years ago
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Artemon [7]
<h3>Answer:   200.96 ft^2  (choice C)</h3>

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

Work Shown:

A = pi*r^2

A = 3.14*8^2

A = 200.96

Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".

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3 years ago
Identify the measure of arc BG◠. HELP ASAP!! I'm so confused!
Vinvika [58]

Answer:

arc BG = 14°

Step-by-step explanation:

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6 0
4 years ago
Solve the problems below. Please answer with completely simplified exact value(s) or expression(s).
jenyasd209 [6]

Answer:

a) AC = \sqrt{13}

b) Area = \frac{\sqrt 3}{4} × a^{2}

Step-by-step explanation:

a) From question,

                      AC = BC, CD⊥AB

Now in ΔCAD and ΔCBD

AC=BC, ∠A = ∠B and AD=BD (because in isosceles triangle perpendicular bisects the side).

then, from SAS potulates

                     ΔCAD≅ΔCBD

So,

    AD = \frac{AB}{2} = \frac{4}{2} = 2 in

From Pythagorean theorem in ΔADC

AC^{2} = AD^{2} + CD^{2}

AC^{2} = 2^{2} + 3^{2}

AC^{2} = 4 + 9 = 13

AC = \sqrt{13}

b) In given ΔABC,

               AB = BC = AC = a,  means ΔABC is a equilateral triangle.

So, area of equilateral triangle is

                              Area = \frac{\sqrt 3}{4} ×  side^{2}

                                side = a

then,

       Area = \frac{\sqrt 3}{4} × a^{2}              

6 0
3 years ago
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