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BaLLatris [955]
3 years ago
15

Solve the equation. Show all your work. x/x-2+x-1/x+1=-1

Mathematics
1 answer:
Oliga [24]3 years ago
3 0
Multiply both sides by (x-2)(x+1) to clea fractions
x(x+1)+(x-1)(x-2)=(-1)(x-2)(x+1)
distribute
x^2+x+x^2-3x+2=-x^2+x-2
add like terms
2x^2-2x+2=-x^2+x+2
add x^2 to both sdes
3x^2-2x+2=x+2
minus x from both sides
3x^2-3x+2=2
minus 2 both sides
3x^2-3x=0
factor
(3x)(x-1)=0
set to zero

3x=0
x=0

x-1=0
x=1

<span>x=0 or 1</span>
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What is the slope of the equation y = 3/4x + 8?<br>A. 3/4<br>B. 8<br>C. 3<br>D. 4<br>​
steposvetlana [31]

Answer:

Step-by-step explanation:    

y = m x + b

y = 3 /4 x − 8

Rewrite in slope-intercept form.

y = 3 /4 x − 8

Using the slope-intercept form, the slope is  3 /4 .

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6 0
4 years ago
A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by t
Nikolay [14]
<h3>Answer:  Max height = 455.6 feet</h3>

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

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3 years ago
The triangles are similar by the AA Similarity Postulate. Find the value of x.
cricket20 [7]
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I hope this helps!
~kaikers
3 0
3 years ago
Read 2 more answers
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