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balu736 [363]
3 years ago
12

The perimeter of an equilateral triangle is 3 (+ 5). The perimeter of a rectangle is 2 (2x - 3) + 2(2). If the perimeters of the

two figures are equal, then what is the value of r?​
Mathematics
1 answer:
TiliK225 [7]3 years ago
5 0

Answer:

3.25

Step-by-step explanation:

Perimeter of triangle = 3(5) = 15 cm

Perimeter of rectangle = 2(2x - 3 + 4)

Perimeter = 2(2x + 1)

Perimeter = 4x + 2

4x + 2 = 15

4x = 15 - 2

4x = 13

x = 13/4

x = 3.25

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Which functions have an axis of symmetry of x = -2? Check all that apply. A. f(x) = x^2 + 4x + 3 B. f(x) = x^2 - 4x - 5 C. f(x)
Snowcat [4.5K]

Answer:

A. f(x) = x^2 + 4x + 3

D. f(x) = -2x^2 - 8x + 1

Step-by-step explanation:

The axis of symmetry is found by h = -b/2a  where ax^2 +bx +c

A. f(x) = x^2 + 4x + 3

  h = -4/2*1 = -2    x=-2

B. f(x) = x^2 - 4x - 5

h = - -4/2*1 = 4/2 =2  x=2  not -2

C. f(x) = x^2 + 6x + 2

h =  -6/2*1 = -3/2 =  x=-3/2  not -2

D. f(x) = -2x^2 - 8x + 1

h = - -8/2*-2 = 8/-4 =-2  x=-2  

E. f(x) = -2x^2 + 8x - 2

h = - 8/2*-2 = -8/-4 =2  x=2  not -2

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3 years ago
What is the surface area of the square pyramid with a base of 4
astraxan [27]
Hello,

<span>SA = s^2 + 2 × s × l 

Base = 4 

SA= 4^2 + 2 x 4 x l
SA= 16 + 2 x 4 x l
SA= 16 + 8 x l

Simplified, the surface area of a square pyramid with a base of 4 and an </span>unknown length/height (l) is SA= 16 + 8 x l.


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Step-by-step explanation:

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vesna_86 [32]

When there are no gaps or breaks on the graph, a function is continuous. When a function fails to be continuous, it is said to be discontinuous at that location.

<h3>What is Continuity in Calculus?</h3>

A function is continuous when there are no gaps or breaks in the graph. These gaps or breaks can be easily seen in a graph. They are also easily stated as holes, jumps, or vertical asymptotes. However, in calculus, you must be more specific in your definition of continuity.

There are three conditions that must be met in order to state a function is continuous at a certain point.

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