Arectangle has a width of 3 cm and a length of 10 cm.

what is the effect on the perimeter when the dimensions are multiplied by 10?

a. the perimeter is increased by a factor of 10.

b. the perimeter is increased by a factor of 40.

c. the perimeter is increased by a factor of 100.

d. the perimeter is increased by a factor of 400.

A. The perimeter is increased by a factor of 10.

Step-by-step explanation:

The width of the rectangle = 3,

Length of the rectangle = 10,

Thus, the initial perimeter of the rectangle = 2(3+10) = 2(13) = 26

After the  dimensions are multiplied by 10,

The new width of the rectangle = 30,

Length of the rectangle = 100,

Thus, the new perimeter of the rectangle = 2(30+100) = 2(130)=260

⇒

⇒

Hence, the perimeter is increased by the scale factor 10.

⇒ Option A is correct.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3