Answer:
35
Step-by-step explanation:
Answer:
add both of those up and see what you get
Step-by-step explanation:
Answer:
find b: since the triangle is right angle triangle apply the Pythagorean theorem
c²+b²=d²
b²=d²-c²
b²=16²-12²
b²=256-144
b²=112
<h2>b=√112 = 4√7</h2>
the sum of the angle of the triangle=180
( in top Δ abd ) sin Ф=opp/hyp
sinФ=b/d=4√7/16= √7/4 radian
convert to degrees : √7/4 *180/π= 37.91 almost 38 degrees
<h2>which makes A= 38 degrees ( adjacent angles are equal when they have common side and do not overlap)</h2>
find a=?? apply law of cosine
a²= d^2 + c^2 − 2dc cosA
a²=16² + 12²-2(16)(12)cos38
a =√(16² + 12²-2(16)(12)cos38)
<h2>a=9.87 rounded to the nearest hundredth</h2>
(i hope it is right )
Answer:
therefore y= - (x-2)^2 + 5
Step-by-step explanation:
u do this by using this format here ..,
y=a(x-h)^2+k
sub in the vertex points as h=2 and k = 5 , since the 2 is positive its sign will be -2 in the brackets because when solving for x-2=0 it is x=2
y=a(x-2)^2+5
then with your (0,1) points plug that in as y and x
1=a(0-2)^2+5
1=a(-2)^2+5
1=4a+5
1-5=4a
-4=4a
a=-1
therefore y= - (x-2)^2 + 5
Answer:
The slope is -2.
Step-by-step explanation:
The slope formula is (y1-y2)/(x1-x2)
or change in y / change in x.
First, you plug in your numbers. I will use (2, 7) as (x1, y1)
(1-7)/(5-2)
Next, simplify.
(-6)/(3)
or
-2
And that's your slope!