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djyliett [7]
3 years ago
5

Solve for each variable X and Y.

Mathematics
1 answer:
kaheart [24]3 years ago
4 0

Answer:

x=5 and y=7

Step-by-step explanation:

The opposite parallel sides of any rhombus are going to be equal.

a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.

b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.

a.) x+14 = 5x-2

b.) 3y-3 = 2y+4

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Can someone please help me?
kvasek [131]

now, let's recall the rational root test, check your textbook on it.

so p  = 18 and q = 1

so all possible roots will come from the factors of ±p/q

now, to make it a bit short, the factors are loosely, ±3, ±2, ±9, ±1, ±6.

recall that, a root will give us a remainder of 0.

let us use +3.


\bf x^4-7x^3+13x^2+3x-18 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{r|rrrrr} 3&1&-7&13&3&18\\ &&3&-12&3&18\\ \cline{1-6} &1&-4&1&6&0 \end{array}\qquad \implies (x-3)(x^3-4x^2+x+6)


well, that one worked... now, using the rational root test, our p = 6, q = 1.

so the factors from ±p/q are ±3, ±2, ±1

let's use 3 again


\bf \begin{array}{r|rrrrr} 3&1&4&1&6\\ &&3&-3&-6\\ \cline{1-5} &1&-1&-2&0 \end{array}\qquad \implies (x-3)(x-3)(x^2-x-2)


and of course, we can factor x²-x-2 to (x-2)(x+1).

(x-3)(x-3)(x-2)(x+1).

7 0
3 years ago
I'm still stuck on this one
Evgesh-ka [11]
The answer would be -4.5/5. You would have to plot the number in between -2 and - 1 4/5. Hope this helps!
7 0
3 years ago
Solve for V<br> 1 - 5V = V + 9 – 10V
denpristay [2]

Answer:

2

Step-by-step explanation:

1-5V=V+9-10V

1-5V-V-(-10V)=9

1-5V-V+10V=9

1-6V+10V=9

1+4V=9

4V=9-1

4V=8

V=8/4

V=2

7 0
2 years ago
Read 2 more answers
On a motor trip, Mr. Williams covered 2/6 of his total trip distance by driving 388 miles. The total distance to be covered in m
Reptile [31]

Answer:

B

Step-by-step explanation:

2/6  x  d   = 388

d = 388 x 6/2 = 1164 m

3 0
2 years ago
Read 2 more answers
Factor.<br> 9y2 - 12y - 12 Please put it as (x+b) (x+b) form
Step2247 [10]

Answer:

3(3y+2)(y-2)

hope this helps

4 0
3 years ago
Read 2 more answers
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