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dem82 [27]
3 years ago
6

Simplify the expression: ( 1 - ( 9x^2 + 4 ) / 2 ) / ( 1 / 3x - 1 / 2 ) + 1

Mathematics
1 answer:
Yuliya22 [10]3 years ago
8 0

Answer:

First Step

Simplify —

2

Equation at the end of step

1

:

((9•(x2))+4) 1 1

————————————•x))—•x)-—)+1

12 (( 3 2

STEP

2

:

1

Simplify —

3

Equation at the end of step

2

:

((9•(x2))+4) 1 1

————————————•x))—•x)-—)+1

12 (( 3 2

STEP

3

:

Calculating the Least Common Multiple

3.1 Find the Least Common Multiple

The left denominator is : 3

The right denominator is : 2

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An isosceles triangle has sides of length x, x, and y. in addition, assume the triangle has perimeter 24. (a) find the rule for
ser-zykov [4K]

Answer:

  A(x) = (24 -2x)√(6(x -6))

Step-by-step explanation:

Heron's formula for the area of a triangle in terms of sides a, b, and c is ...

  A = √(s(s -a)(s -b)(s -c))

where s is the semi-perimeter.

Here, we have s = 24/2 = 12, and a = b = x, c = 24-2x. So, the area is ...

  A = √(12(12 -x)(12 -x)(12 -(24 -2x)) = (12 -x)√(12(2x -12))

  A = 2(12 -x)√(6(x -6))

8 0
3 years ago
Determine the intercepts of the line that correspond to the following table of values.
Dahasolnce [82]
We know that
to find the equation of a line i need two points

let
point A-----> (-21,10)
point B-----> (-28,14)

step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=(14-10)/(-28+21)----> m=-4/7

step 2
find the equation of a line with
m=-4/7  and the point A (-21,10)
y-y1=m*(x-x1)------> y-10=(-4/7)*(x+21)---> y=(-4/7)x-12+10
y=(-4/7)x-2

step 3
find x intercept
for y=0
y=(-4/7)x-2------> 0=(-4/7)x-2-----> 4/7x=-2----> x=-14/4----> x=-3.5

the x intercept is (-3.5,0)

step 4
find the y intercept
for x=0
y=(-4/7)x-2--------> y=-2
the y intercept is (0,-2)

the answers are
the x intercept is (-3.5,0)
the y intercept is (0,-2)

see the attached figure


7 0
3 years ago
The perimeter of a rectangle is given by the formula P=2l+2w, where l represents the length and w represents the width. What is
Alex73 [517]

Answer:

Replace l with 110 and w with 120

P = 2(110) + 2(120)

P = 220 + 240

P = 460 feet

8 0
4 years ago
What is the circumference of the circle if r = 3.5 feet? Use 22 7 for π.45 pts
Natasha_Volkova [10]
We know, Circumference of a Circle = 2πr
C = 2 * 22/7 * 3.5
C = 2 * 22/2
C = 2 * 11
C= 22

In short, Your Answer would be 22 Feet 

Hope this helps!
6 0
3 years ago
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Darien is discounting all prices on the sales for 20%. Which expression below represents the price, p, of any item he marks down
Dominik [7]

Answer: C. 0.8p

Step-by-step explanation:

Since Darien is discounting the prices by 20%, the new price will be 80% of the original price, or 0.8 times the original price

7 0
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