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MrRa [10]
4 years ago
10

I need help with this please help asap

Mathematics
1 answer:
kaheart [24]4 years ago
6 0

Step-by-step explanation:

4^5 (-2)^9/4^8 (-2)^3

= 4^(5 - 8) (-2^(9 - 3))

= 4^-3 (-2^6)

= (-2)^6/4^3

1). (-2)^a/4^b

a = 6, b = 3

2). c/d

c = -2, d = 4

You might be interested in
hey the question is, " The length of a rectangle is twice its width. The perimeter of the rectangle is 126 feet."​
Tema [17]

Answer:

42 = <em>l</em>

21 = <em>w</em>

Step-by-step explanation:

{l = 2<em>w</em>

{126 = 2<em>w</em> + 2<em>l</em>

126 = 2<em>w</em> + 2[2<em>w</em>]

126 = 2<em>w</em> + 4<em>w</em>

126 = 6<em>w</em>

21 = w [Plug this back into both equations to get the length of 42]; 42 = <em>l</em>

I am joyous to assist you anytime.

4 0
4 years ago
The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 23 . Find x.
expeople1 [14]

Answer:

In an isosceles triangle, the legs of the triangle have same lengths.

{ \tt{perimeter = side + side + side}}

• substitute:

{ \tt{23 = x + 2(2x - 6)}} \\  \\ { \tt{23 = x + 4x - 12}} \\  \\ {  \tt{5x = 35}} \\  \\ { \boxed{ \tt{ \:  \: x = 7 \:  \: }}}

7 0
3 years ago
a hyperbola has a center at the origin, a vertex at (9,0) and a focus at (41,0). What is the equation of the hyperbola
Harlamova29_29 [7]

Answer:

the equation of the hyperbola is;(x²/81) - (y²/1600) = 1

Step-by-step explanation:

We are given that the hyperbola has;

Centre; 0,0

Vertex; 9,0

Focus; 41,0

Thus,the vertex and focus are on the x-axis. Thus, the equation for the hyperbola will have the form;

(x²/a²) - (y²/b²) = 1

Since The vertex is (9,0),so

a = 9 and a² = 9² = 81

Also,Since The focus is (41,0),so

c = 41 and c² = 41² = 1681

Solving for b², we have;

b² = c² - a²

b² = 1681 - 81

b² = 1600

b = √1600

b = 40

Thus,equation of hyperbola is;

(x²/9²) - (y²/40²) = 1

Which gives;

(x²/81) - (y²/1600) = 1

4 0
3 years ago
Can someone, anyone, help me?
Thepotemich [5.8K]

(5-0)^2+(3-3)^2

25+0

The square root of 25 is 5

The distance is 5.

6 0
4 years ago
Read 2 more answers
•** Plss help me **•
VashaNatasha [74]

Answer:

30

Step-by-step explanation:

You can use the triangle area theorem-

15x4(/2)=30

4 0
2 years ago
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