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Kruka [31]
3 years ago
10

State whether each pair of expressions are equivalent. Show your work.

Mathematics
1 answer:
wolverine [178]3 years ago
6 0

Answer:

Both of them are NOT equivalent.

Step-by-step explanation:

Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.

5(x - 1)

= 5x - 5

This tells us 5(x - 1) is not equivalent to 5x - 1.

You might be interested in
Determine which of the lines, if any, are parallel or perpendicular. Explain.
hodyreva [135]
Answer:
line a and b are parallel
line c is not perpendicular because it is not 3

step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
m = 5 - 0 / 2 - 0
m = 5/2
2.5
8 0
3 years ago
Which values of k would cause this system of equations to have no solution? Check all that apply.
xeze [42]

Answer:

x= -2y/3

-4y+4y=14

0y= 14

This has no solution.

Step-by-step explanation:

Answer In cases of two equations having two unknown variables the simultaneous method of solving the equations is adopted.

Supposing “0” as the value of “k” we will have the equation as 3x+2y=0

Then separating variable x will give, x= -2y/3

Substituting the value of x into the first equation that is: 6x + 4y = 14

6(-2y/3)+4y=14

Expanding this we get: 6(-2y/3)+4y=14

-4y+4y=14

0y= 14

Thus, no solution.

5 0
3 years ago
Read 2 more answers
Fan can clean the garage in 3 hours, but it takes Angie 4 hours to do the same. How long would it take for them to clean the gar
kupik [55]

Answer:

1 5/7 hours.

Step-by-step explanation:

1/3+1/4 = 7/12

1/7/12= 1.714 hrs

6 0
3 years ago
Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line. F(–2, 0);
UNO [17]
The line is called the directrix.  Here we have a vertical directrix, so a parabola sideways from usual.

Geometry is best done with squared distances.  The squared distance from an arbitrary point (x,y) to the vertical line x=2 is (x-2)^2.

We equate that to the squared distance of (x,y) to the focus (-2,0): 

(x-2)^2 = (x - -2)^2 + (y - 0)^2

x^2 -4x + 4=x^2 +4x +4 + y^2

-8x = y^2

We could call that done.  A more standard form might be

x =- \dfrac 1 8 \ y^2

8 0
3 years ago
19 – 5x = 9(1+x) solve
Maurinko [17]

\Large\boxed{\tt Answer:~x=\frac{5}{7} }

\tt Step-by-step~explanation:

Remember: PEMDAS - Parentheses, exponents, multiply/divide, add/subtract

Distribute: 9(1+x) = 9+9x

19 - 5x = 9 + 9x

Add 5x to both sides of the equation and subtract 9 from both sides.

19 - 5x + (5x) = 9 + 9x + (5x)

19 - (9) = 9 - (9) + 14x

10 = 14x

Divide both sides by 14 to get the variable on its own.

10/14 = 14x/14

10/14=x

5/7 = x

7 0
3 years ago
Read 2 more answers
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