![\frac{3x}{x-4} - \frac{x+3}{x-4} = \frac{2x+7}{x^2-16}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7Bx-4%7D%20%20-%20%5Cfrac%7Bx%2B3%7D%7Bx-4%7D%20%3D%20%5Cfrac%7B2x%2B7%7D%7Bx%5E2-16%7D)
We factor the denominators
Factor x^2 - 16
x^2 - 4^2
We use a^2 - b^2 = (a+b)(a-b)
so x^2 - 4^2 = (x+4)(x-4)
Replace it in the given equation
![\frac{3x}{x-4} - \frac{x+3}{x-4} = \frac{2x+7}{(x+4)(x-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7Bx-4%7D%20%20-%20%5Cfrac%7Bx%2B3%7D%7Bx-4%7D%20%3D%20%5Cfrac%7B2x%2B7%7D%7B%28x%2B4%29%28x-4%29%7D)
Excluded values are the values that makes the denominator 0
we have (x-4) and (x+4) in the denominator
We set the denominator =0 and solve for x
x-4 =0
Add 4 on both sides
x= 4
x+4=0
subtract 4 onboth side
so x= -4
Excluded values are x=-4 and x=4
Essentially, you must multiply 22 by 400. You get 8800 km apart for your answer.
Answer:
2b/ab+3
Step-by-step explanation:
The numbers are irrational, so they can't be exactly written down
using only digits.
In exact form, they are
1 + √57
and
1 - √57 .
In rounded form, they are
8.54983
and
-6.54983 .
Answer: m∠CAD = 81°
Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.