One college states that the number of men, MMM, and the number of women, WWW, receiving bachelor degrees ttt years since 198019801980 can be modeled by the functions M(t)=526-tM(t)=526−tM, left parenthesis, t, right parenthesis, equals, 526, minus, t and W(t)=474+2tW(t)=474+2tW, left parenthesis, t, right parenthesis, equals, 474, plus, 2, t respectively. Let NNN be the total number of students receiving bachelors degrees at that college ttt years since 198019801980. Write a formula for N(t)N(t)N, left parenthesis, t, right parenthesis in terms of M(t)M(t)M, left parenthesis, t, right parenthesis and W(t)W(t)W, left parenthesis, t, right parenthesis. N(t)=N(t)=N, left parenthesis, t, right parenthesis, equals Write a formula for N(t)N(t)N, left parenthesis, t, right parenthesis in terms of ttt. N(t)=N(t)=N, left parenthesis, t, right parenthesis, equals

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

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.