Answer:
-2.35
Step-by-step explanation:
Answer:
53.33
Step-by-step explanation:
finding area of ΔPAM
using similar triangles
16 = 12x; x =
ΔPAM = 4/3 * 4 * 1/2 = 16/6 = 8/3
ΔPAL = 4 * 12 * 1/2 = 24
24 + 8/3 = 80/3 (using fraction form for now, will round later)
since there are two ΔPLM (ΔLMU has same area since they are congruent)
we can multiply 80/3 by 2
80/3 * 2 = 160/3 = 53.33
Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13
Answer is option . D
Answer:
(3, - 4)
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), hence
(- 3, 4 ) → (3, - 4 )
In order to solve for x you have to set x by itself, the first step is to add common like terms for example 3x and 2x are common like terms so lets add them up to get 5x-4=8 now add 4 to both sides because the only way to get rid of a negative is with a positve, now you have 5x=12. your final step is to divide 5 to both sides because the only way to get rid of a multiplication is with a division, this will leave x by itself and your answer will be x=12/5
Hope this helps