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3 years ago

WILL GIVE A BRAINLEST!!!!!!

2 answers:

5 0

We have that
<span>(c-4)/(c-2)=(c-2)/(c+2) - 1/(2-c)
</span>- 1/(2-c)=-1/-(c-2)=1/(c-2)

(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2)
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)

(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14

the solution is c=14

the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or
<span>all real numbers except c=-2 and c=2</span>

jeka57 [31]3 years ago

5 0

The solution is c = 14

How many extraneous solutions are there? zero

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Read 2 more answers

1. Jackson has 75¢ in dimes, d, and nickels, n, in his pocket. Which equation could be solved to find the possible combinations

SpyIntel [72]

Answer:

Part 1) Option D $75=10d+5n$

Part 2) Option B $(4, -2), (0, -1), (-4, 0)$

Part 3) Option A $50=2LW$

Part 4) Option A Ms. Monti bought $4$ adult tickets and $3$ children’s tickets

Part 5) Option D The kitten weighed $14$ ounces when it was $4$ weeks old

Step-by-step explanation:

Part 1)

we know that

$1\ dime=\$0.10$

$1\ nickel=\$0.05$

Let

d-------> the number of dimes

n-----> the number of nickels

$0.10d+0.05n=0.75$

Multiply by $100$ both sides

$10d+5n=75$

Part 2)

we have

$y=(-\frac{1}{4})x-1$

To calculate the solutions of the equation for an x value, substitute the value of x in the equation and find the value of y

For $x=4$ -----> $y=(-\frac{1}{4})(4)-1=-2$ ----> $(4,-2)$

For $x=0$ -----> $y=(-\frac{1}{4})(0)-1=-1$ ----> $(0,-1)$

For $x=-4$ -----> $y=(-\frac{1}{-4})(4)-1=0$ ----> $(-4,0)$

Part 3)

we know that

The perimeter of a rectangle is equal to

$P=2(L+W)$

we have

$P=50\ ft$

substitute

$50=2(L+W)$ ------> $50/2=(L+W)$ -----> $50=2L+2W$

Par 4)

Let

x------> the number of adult tickets

y------> the number of children tickets

we have

$25x + 15y = 145$

The ordered pair $(4,3)$ represent

$x=4\ adult\ tickets$

$y=3\ children\ tickets$

therefore

Ms. Monti bought $4$ adult tickets and $3$ children’s tickets

Part 5)

Let

x------> the number of weeks after it was born

y-----> the kitten’s weight in ounces

we have

$y=2.5x+4$

The ordered pair $(4,14)$ represent

$x=4\ weeks$

$y=14\ ounces$

therefore

The kitten weighed $14$ ounces when it was $4$ weeks old

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3 years ago

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3 years ago

Square ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to form square ABCD . What are the coord

kobusy [5.1K]

Answer:

B'(16,14)

Step-by-step explanation:

In square ABCD, A(2,7) C(8,1) D(2,1). First, find the coordinates of the vertex B. From the attached diagram you can see that CD=6 units and is parallel to the x-axis, AD=6 units and is parallel to the y-axis. So, B(8,7).

The origin O is the center of dilation, 2 is the scale factor. The rule of the dilation is

(x,y)→(2x,2y)

Thus,

B(8,7)→B'(16,14) (see attached figure).

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