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MrRissso [65]
3 years ago
11

What is the value of a if (2a +3) - (4a-8)= 7

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0
( 2a + 3 ) - ( 4a - 8 ) = 7
2a + 3 - 4a + 8 = 7
-2a + 11 = 7 
-2a = -4
a = -4 / -2
a = 2
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Which of the following correctly describes the interval shown?
adoni [48]
B is the correct one
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For what value of constant c is the function k(x) continuous at x = 0 if k =
nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x)  is continuous, we take the limit of the parameter as follows:

\mathbf{ \lim_{x \to 0^-} k(x) =  \lim_{x \to 0^+} k(x) =  0 }

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= c }

Provided that:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }

Using l'Hospital's rule:

\mathbf{\implies  \lim_{x \to 0} \ \  \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}=  \lim_{x \to 0}   sec \ x  \ tan \ x = 0}

Therefore:

\mathbf{\implies  \lim_{x \to 0 } \ \  \dfrac{sec \ x - 1}{x}=0 }

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Learn more about the limit of a function x here:

brainly.com/question/8131777

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5 0
2 years ago
Calculate the area of the regular pentagon below: A regular pentagon with side length of 11.8 inches and dotted line from center
vlada-n [284]

Answer:

Area of regular pentagon is 238.95 square inches.

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Given a regular pentagon with side length of 11.8 inches and dotted line from center to middle of side of 8.1 inches.

we know a regular polygon divides into 5 congruent triangles.

Side of pentagon i.e base of one triangle is 11.8 inches.

Also, distance from center to middle of side which is height of triangle is 8.1 inches.

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5 0
3 years ago
Write the standard form of the equation of a circle with radius 10 and center (9,3)
gladu [14]

Answer:

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8 0
2 years ago
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For the average to be 90,

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7 0
3 years ago
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