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MAXImum [283]
3 years ago
8

Simplify the expression

Mathematics
2 answers:
Dafna11 [192]3 years ago
7 0
\bf \left( \cfrac{2}{5m^5} \right)^{-4}\implies \left( \cfrac{5m^5}{2} \right)^{4}\implies \cfrac{5^4m^{5\cdot 4}}{2^4}\implies \cfrac{625m^{20}}{16}
BaLLatris [955]3 years ago
6 0
The answer is 625m^20/16
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What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.
Anit [1.1K]

The equation of the line is, \rm y = 3x + 1.

Given that,

The equation of the line is,

\rm y = \dfrac{1}{3} x+4\\

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

\rm = \dfrac{1}{3}x + 4\\

On comparing with the standard equation of the line y = mx +c.

The slope of the line m_1 is 1/3.

When two lines are perpendicular the relation between these slopes is,

\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3

And line contains the point (-2, -5).

Then,

\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

\rm y = mx +c \\\\y = 3x +1

Hence, The required equation of the line is, \rm y = 3x + 1.

For more details refer to the link given below.

brainly.com/question/14388443

7 0
3 years ago
In ΔUVW, \overline{UW}
kozerog [31]
Answer: is extended through point W to point X angle


Explanation
8 0
2 years ago
S 8,000 a good estimate for the sum of 3,816 and 467?
Damm [24]

Answer:

it is  not a good estimate.

Step-by-step explanation:3816 can be rounded to 4000 and 467 can be rounded to 500. Adding 4000+500 gives 4500, which isn't near 8000.

i hoped this helped :)

<3

7 0
3 years ago
In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
yarga [219]

Answer:

Step-by-step explanation:

can you show a picture?

5 0
2 years ago
2 Points<br> What is the center of the circle given by the equation (x+ 5)^2 + (y-8)^2 = 1?
Y_Kistochka [10]

Answer:

(- 5, 8 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + 5)² + (y - 8)² = 1 ← is in standard form

with centre (h, k ) = (- 5, 8 )

5 0
3 years ago
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