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2 years ago

Which is the simplified rational expression for r2-4r+5/r-4

Mathematics

1 answer:

Sliva [168]2 years ago

8 0

Step-by-step explanation:

$\frac{ {r}^{2} - 4r + 5}{r - 4} - \frac{ {r}^{2} + 2r - 8}{r - 4} \\ = \frac{ ({r}^{2} - 4r + 5) - ( {r}^{2} + 2r - 8) }{r + 4} \\ = \frac{ {r}^{2} - {r}^{2} - 4r - 2r + 5 - 8 }{r - 4} \\ = \frac{ - 6r - 3}{r - 4}$

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The coordinates of the vertexes of a triangle are A(3,3) B(6,6) C(9,3). What will be the new coordinates after a dilation

yuradex [85]

Answer:

Step-by-step explanation:

Dilation by 3 from origin causes each point to be multiplied by 3.

(3,3) * 3 = (9, 9)

(6, 6) * 3 = (18, 18)

(9, 3) * 3 = (27, 9)

which is A

8 0

2 years ago

Find the value of a $3,000 certificate in 2 years, if the interest rate is 10% compounded annually.

ser-zykov [4K]

Answer:

600$

Step-by-step explanation:

3000×2×.10=600

the 10 percent needs to be changed to .10

5 0

1 year ago

(4x^(4))^(2) without exponents

vlabodo [156]

Answer:

256x * 16

Step-by-step explanation:

(4x * 4x * 4) * (4x * 4x * 4 )

(16x * 4 ) * ( 16x *4)

16x * 16x = 256x

4 * 4 = 16

256x * 16

hope this helped a little

* = multiply

3 0

2 years ago

50 out of 100 flowers are red. What percentage of the flowers are red

GuDViN [60]

Answer:

50%

Step-by-step explanation:

duhh, sorry this one just very obvious

7 0

2 years ago

Please i need to know if im correct with these questions

telo118 [61]

Answer: No Solution

Step-by-step explanation:

ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0

ln $(\frac{x}{x + 2})$ = 4

$(\frac{x}{x + 2})$ = e⁴

x = e⁴ (x + 2)

x = 54.5982 (x + 2)

x = 54.5982x + 109.1964

- 53.5982x = 109.1964

x = $\frac{109.1964}{-53.5982}$

x = -2.0373

-2.0373 is not greater than 0 so is not valid

**************************************************************************

Answer: 2.1972

Step-by-step explanation:

eˣ = 9

ln eˣ = ln 9

x = ln 9

x ≈ 2.1972

**************************************************************************

Answer: $\frac{3}{2}$

Step-by-step explanation:

log₂ (3x - 4) = -1

3x - 4 = 2⁻¹

3x - 4 = $\frac{1}{2}$

+4 +4

3x = $4\frac{1}{2}$

3x = $\frac{9}{2}$

$\frac{3x}{3} = \frac{9}{2} * \frac{1}{3}$

x = $\frac{3}{2}$

**************************************************************************

Answer: 1.117519

Step-by-step explanation:

in the calculator, type in 1 ÷ 9.

Then hit the eˣ button.

e¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

rounded to 6 decimal places: 1.117519

6 0

2 years ago