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BabaBlast [244]
3 years ago
6

What is the distance between (12.-7) and (-3, -7)? ​

Mathematics
1 answer:
vitfil [10]3 years ago
6 0

Step-by-step explanation:

distance between (12.-7) and (-3, -7)

\sqrt{ {(12  +  3)}^{2} +  {0}^{2}  }

=12+3

=15 units

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If A=(0,0) and B=(6,3), what is the length of AB?
mr Goodwill [35]

Answer:

<h2>3√5 units</h2>

solution,

A(0,0)---->(X1,y1)

B(6,3)---->(x2,y2)

Now,

ab =  \sqrt{ {(x2 - x1)}^{2}  + (y2 - y1) ^{2} }  \\  \:  \:  \:  =  \sqrt{ {(6 - 0)}^{2} +  {(3 - 0)}^{2}  }  \\  \:  \:  \:  =  \sqrt{ {(6)}^{2}  + {(3)}^{2} }  \\  \:  \:  \:  \:  =  \sqrt{36 + 9}  \\  \:  \:  \:  \:  =   \sqrt{45}  \\  \:  \:  \:  = 3 \sqrt{5 }  \: units

Hope this helps...

Good luck on your assignment..

3 0
3 years ago
X^2 -11x +30 in factored form
AlladinOne [14]

Answer:

(x-5)(x-6)

Step-by-step explanation:

It would be the answer above. Hope this helps!

5 0
3 years ago
Write as a Fraction 65%
Licemer1 [7]

Answer:

13/20

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the answer need ASAP
ArbitrLikvidat [17]

ANSWER


C. 58°


EXPLANATION


The sum of the interior angles of a triangle is 180°.


We sum all the three angles to obtain,


8x+(14x+2)+(10x+50)=180.


We group like terms to get,



8x+14x+10x+2+50=180.


Simplify,



32x+52=180.


Combine like terms to get,


32x=180-52.


Simplify,


32x=128.



Divide both sides by 32 to get,



x=4.


We substitute the value of x into the expression for



m\:.


This implies that,


m\:.



m\:.



m\:.



The correct answer is C

8 0
3 years ago
Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed
garik1379 [7]
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards. 
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards. 
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x. 
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
 => Area, A 
= 2x (y1 - y2) 
= 2x (18 - x^2 - 2x^2 + 9) 
= 2x (27 - 3x^2) 
= 54x - 6x^3 
For area to be maximum, dA/dx = 0 and d²A/dx² < 0 
=> 54 - 18x^2 = 0 
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants) 

d²A/dx² = - 36x < 0 for x = √3 
=> maximum area 
= 54(√3) - 6(√3)^3 
= 54√3 - 18√3 
= 36√3. 
4 0
3 years ago
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