These two figures are the image and pre-image of a dilation. find the length of the missing sides.

Hence, we have:

           x= 5/2 in.=2.5 in.

and y+1=6 in.    ( since y=5)

We know that if two triangles are similar then there corresponding sides are proportional.

i.e. according to  the figure provided to us we have:

On equating the first two equality we have:

    Hence,   x=5/2 in.

and now on equating first and third terms we have:

Hence, the length of the missing sides are:  

x=5/2 in.

and y+1=5+1=6 in.

The measure of x and y is 2.5 and 4

The two triangles shown here are similar triangles

Using the similarities theorem of the triangle;

4/2 = 5/x

Cross multiply

4x = 2 * 5

4x = 10

x = 10/4

x = 2.5

Similarly;

4/2 = y+1/2.5

2.5 * 4 = 2(y+1)

10 = 2(y+1)

5 = y+ 1

y = 5 - 1

y = 4

Hence the measure of x and y is 2.5 and 4

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intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?