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3 years ago

For y=2/3 x-2 what is the range of this function where the domain is 3 to 12

Mathematics

1 answer:

Olin [163]3 years ago

5 0

Answer:

Range = {0,2/3,1 1/3, 2, ...}

Step-by-step explanation:

The range is the output so the y values, when x = 3 then

y = $\frac{2}{3}$ (3) - 2 so y = 0

y = $\frac{2}{3}$ (4) - 2 so 8/3 - 6/3 is 2/3 so y = 2/3

y = $\frac{2}{3}$ (5) - 2 so 10/3 - 6/3 is 4/3 so y = 4/3 or 1 1/3

y = $\frac{2}{3}$ (6) - 2 so 12/3 - 6/3 is 6/3 so y = 2 and so on....

Now you try the rest

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Write an equation of the line that passes through the point (2, -1) and is perpendicular to the line y = -2x + 1, then use Point

ratelena [41]

Y+1=1/2(x-2)

y = 1/2x - 2

5 0

3 years ago

Find the perimeter AND area of the parallelogram ABCD. Show all work

nexus9112 [7]

Since, this is parallelogram

so, opposite sides are equal

We will find value of sides

Calculation of AB:

we are given point A=(-2,3)

point B=(4,0)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AB=\sqrt{(4+2)^2+(3-0)^2}$

$AB=3\sqrt{5}$

Since, this is parallelogram

so, opposite sides are equal

so,

$CD=AB=3\sqrt{5}$

Calculation of AD:

point A =(-2,3)

point D=(-5,2)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AD=\sqrt{(-5+2)^2+(2-3)^2}$

$AD=\sqrt{10}$

Since, this is parallelogram

so, opposite sides are equal

so,

$BC=AD=\sqrt{10}$

Calculation of AE:

point A=(-2,3)

point E=(-3,1)

we can use distance formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$AE=\sqrt{(-3+2)^2+(1-3)^2}$

$AE=\sqrt{5}$

(a)

we know that

perimeter of a parallelogram is sum of all sides

so,

perimeter is

$=AB+BC+CD+DA$

now, we can plug values

$=3\sqrt{5}+\sqrt{10}+3\sqrt{5}+\sqrt{10}$

$=6\sqrt{5}+2\sqrt{10}$ ...........Answer

(b)

we can use area of parallelogram formula

$A=AE\times CD$

we can plug values

$A=\sqrt{5}\times 3\sqrt{5}$

$A=15$ ............Answer

4 0

3 years ago

plzs help I can't ask any teachers to help right now because I'm in a situation I'm not allowed to go to school cuz I'm sick and

Sholpan [36]

Answer:

where is ur question

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the slope of the line containing the points (2,-5) and (-4,9)

eimsori [14]

Answer:

The slope would be -2 1/3 or -2.3 repeating

Step-by-step explanation:

The first point would be (-4, 9). The next point is (2, -5). We can tell that the slope will be negative, because the x values increased by 6, but the y values decreased by 4.

The slope would be -2 1/3 or -2.3 repeating

I Hope That This Helps! :)

5 0

3 years ago

Help me please

deff fn [24]

Answer:

(x-1)^2 + y^2 = 25

Step-by-step explanation:

center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)

AB = 10

radius = AB / 2 = 5

equation formula: (x - xC)^2 + (y-yC)^2 = radius^2

Hence:

(x-1)^2 + y^2 = 25

5 0

2 years ago