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Natali5045456 [20]
3 years ago
7

1.) What is the product of (-6)^2?

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
5 0

im not sure about the first one but im 100% about 2 and 3

2-A

3-D

Yuri [45]3 years ago
3 0
1.)

Product of ( - 6 )²

➡ ( - 1 × 6 )²

=> ( - 1 )² × ( 6 )²

=> ( - 1 × - 1 ) × ( 6 × 6 )

=> ( 1 ) × ( 36 )

=> 36



\text{Option C is correct }




2.)

=> ( - 84 ) ÷ ( 14 )


=  >  \frac{ - 84}{14}


Divide both by 14 ,


=  >  \frac{ -  \frac{84}{14} }{ \frac{14}{14} }  \\  \\  \\  \\  =  >  \frac{  - \frac{  \:  \:  \:  \: \cancel{84} { \:  \: }^{6} }{ \cancel{14}} }{ \frac{ \cancel{14}}{ \cancel{14}} }  \\  \\  \\  \\  =  >  -  \frac{6}{1}  \\  \\  \\  \\  =  >  - 6



On simplifying we get - 6




\text{Option A is correct }





3.)

=> - 8( 12 )

=> - 8( 10 + 2 )

=> - 8( 10 ) - 8( 2 )

=> -80 - 16

=> - 96





On simplifying we get - 96





\text{Option D is correct }
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Answer:

Acute scalene triangle.

Step-by-step explanation:

Acute scalene triangle.

Sides: a = 4   b = 7   c = 8

Area: T = 13.998

Perimeter: p = 19

Semiperimeter: s = 9.5

Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad

Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad

Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad

Height: ha = 6.999

Height: hb = 3.999

Height: hc = 3.499

Median: ma = 7.246

Median: mb = 5.268

Median: mc = 4.062

Inradius: r = 1.473

Circumradius: R = 4.001

Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]

Centroid: CG[3.313; 1.166]

Coordinates of the circumscribed circle: U[4; 0.071]

Coordinates of the inscribed circle: I[2.5; 1.473]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 150.005° = 150°19″ = 0.524 rad

∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad

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Simplifying,
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