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astra-53 [7]
3 years ago
8

what are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2? - a = , b = 3, c = 2 - a = , b = –3, c = –2 - a =

, b = 3, c = –2 - a = , b = –3, c = 2
Mathematics
1 answer:
Juliette [100K]3 years ago
3 0
x^2-3x-2=0\\\\a=1;\ b=-3;\ c=-2\\\Delta=b^2-4ac\\\\\Delta=(-3)^2-4\cdot1\cdot(-2)=9+8=17 \ \textgreater \  0\\\\then\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{3-\sqrt{17}}{2\cdot1}=\boxed{\dfrac{3-\sqrt{17}}{2}}\\\\x_2=\dfrac{3+\sqrt{17}}{2\cdot1}=\boxed{\dfrac{3+\sqrt{17}}{2}}
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Find the equation of the graphed line.
belka [17]
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y =  \dfrac{5}{2}x + 5\bigg) \ is \ correct  }}}

<h3><u>Step-by-step explanation:</u></h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

\large\boxed{\orange{\bf y = mx + c} }

We know that slope is \tan\theta. So here slope will be ,

\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}

Hence the slope is 5/2 . And here value of c will be 5 since it cuts y axis at (5,0).

\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}

<h3><u>Hence</u><u> </u><u>option</u><u> </u><u>[</u><u> </u><u>d</u><u> </u><u>]</u><u> </u><u>is</u><u> </u><u>corre</u><u>ct</u><u> </u><u>.</u><u> </u></h3>
4 0
3 years ago
3250-1250=1500+2(1250-500) is this true
exis [7]

Answer:

Its false because

Step-by-step explanation:

3250-1250=1500+2.(1250-500)

2000 = 1500 + 2 . 750

2000 = 1500 + 1500

2000 != 3000

Obviously 2000 isnt the same of 3000

5 0
4 years ago
Read 2 more answers
A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
dem82 [27]

Answer: Height at which the wire is attached to the pole is 12 feet.

Explanation:

Since we have given that

Length of the wire = 20 feet

Let the height at which wire is attached to the pole be h

and distance along the ground from the bottom of the pole to the end of the wire be x+4

Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

Hence, height at which the wire is attached to the pole is 12 feet.


8 0
3 years ago
Find the number if...
maw [93]

20% of 106

= 0.20 * 106

= 21.2

21.2  = 10.6%  of   21.2 / 0.106

=  200 answer

2.   56 * 0.055 / 0.35

= 8.8

3.  6.4 / 0.8 = 8

7 0
3 years ago
Read 2 more answers
I need help graphing this problem<br>−7x+5y=35 ​
Arturiano [62]

Answer:

slope:  7/5

y-int: (0,7)

hope this helps!!:)

Step-by-step explanation:

4 0
3 years ago
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