The vertices of a trapezoid are shown below. P(0, 0), Q(2, 0), R(2, 7), S(0, 14) This trapezoid is dilated about the origin by a scale factor of 4. What is the location of point S'? (4, 18) (4, 56) (0, 18) (0, 56)

Answers

Answer 1

Answer: (0,56)
0 x 4 = 0
14 x 4 = 56

hope this helps :)

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[-3,3] as an inequality?

Is (0,2),(1,4), (2,5), (3,6) a function

Answers

Answer:

This relationship is a function

Step-by-step explanation:

By definition a relation is defined as a function if and only if for each input value x there is only one output value y.

In this case we observe the following ordered pairs

(0,2),(1,4), (2,5), (3,6)

We see that each value x has only a value of y.

$x = 0,\ y = 2\n\nx = 1,\ y = 4\n\nx = 2,\ y = 5\n\nx = 3,\ y = 6$

Therefore this relationship is a function

What is the solution to the system?-2x + y + 6z = 1
3x + 2y + 5z = 16
7x + 3y – 4z = 11

Answers

Answer:

x = 4, y = -2, z = 3

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y+6z=1&(1)\n3x+2y+5z=16&(2)\n7x+3y-4z=11&(3)\end{array}\right\n\n(1)\n-2x+y+6z=1\qquad\text{add}\ 2x\ \text{to both sides}\ny+6z=2x+1\qquad\text{subtract}\ 6z\ \text{from both sides}\ny=2x-6z+1\n\n\text{Substitute it to (2) and (3):}\n\n\left\{\begin{array}{ccc}3x+2(2x-6z+1)+5z=16\n7x+3(2x-6z+1)-4z=11\end{array}\right\qquad\text{use the distributive property}\n\n$

$\left\{\begin{array}{ccc}3x+4x-12z+2+5z=16&\text{subtract 2 from both sides}\n7x+6x-18z+3-4z=11&\text{subtract 3 from both sides}\end{array}\right\n\left\{\begin{array}{ccc}7x-7z=14&\text{divide both sides by 7}\n13x-22z=8\end{array}\right\n\left\{\begin{array}{ccc}x-z=2&\text{multiply both sides by (-13)}\n13x-22z=8\end{array}\right$

$\underline{+\left\{\begin{array}{ccc}-13x+13z=-26\n13x-22z=8\end{array}\right}\qquad\text{add both sides of the equations}\n.\qquad\qquad-9z=-18\qquad\text{divide both sides by (-2)}\n.\qquad\qquad \boxed{z=2}\n\n\text{Put it ot the equation}\ x-z=2:\nx-2=2\qquad\text{add 2 to both sides}\n\boxed{x=4}\n\n\text{Put the values of}\ x\ \text{and}\ z\ \text{to the equation}\ y=2x-6z+1:\n\ny=2(4)-6(2)+1\ny=8-12+1\n\boxed{y=-3}$

Does this equation represent a direct variation?
y=1/6x

Answers

This equation represents a direct variation, for the ratio between y and x is constant~

Which table below represents a relationship that is NOT a function?

Answers

Table T is not a function. This is because of the repeated '3' and '4' in the x value's.

T... Because in functions the x's CAN'T repeat but in table T the number 3 in the x column repeats 2 times

Find x

Need gelppppppppppp

Answers

Answer:

The Value of x is 10.

Step-by-step explanation:

Consider ABCD is a Parallelogram where

∠BCA = 43°

∠CBA = 98°

∠ACD = (2x+9)

To Find:

x = ?

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

In ΔABC

$\angle ABC+\angle BCA+\angle CAB=180\n\n98+43+\angle CAB=180\n\therefore m\angle CAB =180-141=39\°$

Now CD || BA .......opposite sides of Parallelogram is parallel

$\angle CAB=\angle ACD$ .........Alternate Angles are equal

Substituting the values we get

$39=2x+19\n2x=20\n\n\therefore x=(20)/(2)=10\n\n\therefore x=10$

The Value of x is 10.

Which statement about the graph is true? On a coordinate plane, a line goes through points (0, 2), (2, 3), (4, 4), (6, 5). The graph shows a proportional relationship because it is a line, and the difference between each point is the same. The graph shows a proportional relationship because it is a line, and each x-value is a multiple of 2. The graph does not show a proportional relationship because each point written as a ratio gives a different value. The graph does not show a proportional relationship because a line that increases by 1 in the y-value cannot have a constant of proportionality.

Answers

The answer is C. The graph does not show a proportional relationship because each point written as a ratio gives a different value.

Hope this helped! If it didn't please tell me what went wrong so I can fix it.

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