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Tanya [424]
2 years ago
11

(2/5)^-2(-3)^4 What is the equivalent?

Mathematics
1 answer:
Nikolay [14]2 years ago
8 0

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

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What are the coordinates of the centroid of a triangle with vertices D(0,1),E(2,6), and F(7,2) enter your answer in the boxes
Daniel [21]

The coordinates of centroid of given triangle are: (3,3)

Step-by-step explanation:

Given

D(0,1) = (x1,y1)

E(2,6) = (x2,y2)

F(7,2) = (x3,y3)

The centroid of a triangle when the vertices are known is given by:

C = (\frac{x_1+x_2+x_3}{3} , \frac{y_1+y_2+y_3}{3})

Putting the values

C = (\frac{0+2+7}{3} , \frac{1+6+2}{3})\\C = (\frac{9}{3} , \frac{9}{3})\\= (3,3)

Hence,

The coordinates of centroid of given triangle are: (3,3)

Keywords: Triangle, centroid

Learn more about triangles at:

  • brainly.com/question/10717746
  • brainly.com/question/10736268

#LearnwithBrainly

7 0
3 years ago
How will the solution of the system y>2x+2/3 and y<2x+1/3 change if the inequality sign on both inequalities is reversed t
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Answer:The System of inequality is ,

1. y > 2 x + p

2. y < 2 x + p

Suppose we assign some values to p and q and draw its graph

And, then the inequality sign on both inequalities is reversed

3. y < 2 x + p

4. y > 2 x + p

And , then draw it's graph

it has been found that, the solution set of both the inequality remains same.That is there is no point or set of points , which satisfy both the system of inequality.

The system has no solution.

<h3>sorry if its wrong</h3>

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In the coordinate plane, the x axis (y=0) and y axis (x=0) are perpendicular. The product of the slopes of two perpendicular lin
sleet_krkn [62]

Answer:

see the explanation

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

In the coordinate plane, the x axis (y=0) and y axis (x=0) are perpendicular

however

this definition does not apply to the lines y=0 and x=0.

because

The slope of the horizontal line y=0 is equal to zero and the slope of the vertical line x=0 is undefined

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