2,341 ÷ 68 A.32 r 42 B.34 r 29 C.34 r 42 D.32 r 29

The perimeter of a standard-sized rectangular rug is 4040 ft. the length is 22 ft longer than the width. find the dimensions.

Nataly_w [17]

L = w+22

2(l+w) = 4040
2(w+22+w) = 4040
2w + 22 = 4040/2 = 2020
2w = 2020-22 = 1998
w = 999ft

l = w+22 = 999+22 = 1021ft
w = 999 ft

3 0

3 years ago

Billy wants to live in the area defined by y < 3x − 6. Explain how you can identify the houses in which Billy is interested i

Nadusha1986 [10]

Check the picture below.

to graph an inequality, you pretty much first off, need to graph the "equality" or equation, so for y < 3x − 6, first off, graph the line y = 3x − 6.

and then you do a "true" or "false" check.

now, if you look at the line below, it splits the grid in two sections, so, let's check a point in either section, if one is false, the other is true and the other way around.

so, let's check the region on the left-hand-side, hmmmm say point 0,0, the origin.

y < 3x - 6

y = 0, x = 0 thus

0 < 3(0) - 6

0 < -6 <--- now, is that really true? is 0 lesser than -6? not quite, is false.

recall that on the negative side, the closer to 0, the larger the value, so -1 is much larger than -1,000,000.

because the point 0,0 yielded a false inequality, that region is the "false region" and thus not shaded, therefore, the other side must be the "true region", and thus we shade that then.

we can run a quick check on that btw, say on point 4,4

y =4, x = 4 thus

4 < 3(4) - 6

4 < 12 - 6

4 < 8 <---- yeap, is true, 4 is lesser/smaller than 8.

hmm ohh yes, the line needs to be dashed for a < or >, because it "has that boundary but it does not include it", unlike ⩽ and ⩾, which is a solid line, because it has that boundary and it includes it too.