Answer:
No and Yes.
Step-by-step explanation:
The inequation is y ≥-x+7 and the pair is (x,y)=(-1,-1). Then:
-1≥ -(-1)+7
-1 ≥ 1+7
-1 ≥ 8, but this is not true, so (-1,-1) is not a solution of y ≥-x+7.
On the other hand, the inequation is y>(3/4)x-5 and the pair is (5,3). Then:
3>(3/4)(5)-5
3>(15/4)-5
3> -5/4 and this is true, so (5,3) is a solution of y>(3/4)x-5.
Answer:
assuming this is a rectangle:
VW=31
WX=19
YW=36.36
ZX=18.18
VX=36.36
Step-by-step explanation:
VW=VX
VW=31
WX=VX
WX=19
YW^2=19^2+31^2
YW^2=361+961
YW^2=1322
YW=36.36
ZX=1/2VX
ZX=18.18
VX=YW
VX=36.36
Answer:
Step-by-step explanation:
<em>m∠D</em> = 90° - 51° = <em>39°</em>
sin E =
⇒ DE = DF × sin E
<em>DE</em> = 18 sin51° ≈ <em>14.0 ft.</em>
cos E =
⇒ EF = DF × cos E
<em>EF</em> = 18 × cos51° ≈ <em>11.3 ft.</em>
let the number be xy then
x + y = 12
y - x = 2 ( because y > x)
adding we get 2y = 14 so y = 7
and x = 12 - 7 = 5
So the number is 57.