Points for you........................................

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

2 years ago

Read 2 more answers

(5x^2+3x+4)-(2x^2+5x-1)

DedPeter [7]

Answer:
The answer is (3x^2-2x+5)

6 0

3 years ago

72÷x=3.6÷0.015 what is the answer?

lapo4ka [179]

Answer:

The answer you are looking for is x = 3/10

Step-by-step explanation:

D( x )

x = 0

x in (-oo:0) U (0:+oo)

72/x = 3.6/0.015 // - 3.6/0.015

72/x-(3.6/0.015) = 0

72/x-240 = 0

72*x^-1 = 240 // : 72

x^-1 = 10/3

-1 < 0

1/(x^1) = 10/3 // * x^1

1 = 10/3*x^1 // : 10/3

3/10 = x^1

x = 3/10

4 0

2 years ago

Read 2 more answers

Round to the nearest hundredth 42.052

Vera_Pavlovna [14]

42.052

place value and digits:

4 = tens
2 = ones
0 = tenths
5 = hundredths
2 = thousandths

5 is in the hundredths place. To find if you round up or down, look at the digit to the right (thousandths in this case). It is a 2, which is less than 5, so you round down.

42.052 rounded to the nearest hundredth is 42.05

hope this helps

8 0

2 years ago

Determine the equation of the circle with centre (-3;5) and passing through a point (2;-9)

UNO [17]

Therefore, the equation of circle is: $(x+3)^{2}+(y+5)^{2} = 100$

<h3><u>What is a circle?</u></h3>

All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The radius of a circle is the separation between any point on the circle and its center.
The radius must typically be a positive integer. Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.
A circle, specifically, is a straightforward closed curve that separates the plane into its inner and exterior.

Here we know that $(h,k) = (-3,5)$ but we are not given the radius.