Mathematics, 16.09.2019 03:30 xxxamslashxxx9

The equation of y=2x-1 with a translation of 3 units to the right followed by a translation of 1 unit down.

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Answer from: pandadude123

y = 2x - 1

Lets see something:

y = 2x - 1

y = f(x)

If we want to do translations in vertical we just have to add an constant, where postive moves it upward and negatives, downward

y = f(x) + c

y = f(x) - 1

y = 2x - 1 - 1

y = 2x - 2

Now let's see this translation to the right

If we want to translate it in horizontal we just have to add a constant inside the function, where positive moves it to the left, and negative to the right

y = f(x) - 1

y = f(x - 3) - 1

y = 2.(x - 3) - 1 - 1

y = 2x - 6 - 2

y = 2x - 8

Answer from: Quest

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

$3x+y\geq7\\\\x-2y< -4$

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of $3x+y\geq7$ while the dotted line represents $x-2y< -4$ .

Consider the following system of inequalities.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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