Answer:
x = 11
Step-by-step explanation:
ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.
Angles in an equilateral triangle are all 60°.
Thus, ∠L = 60°.
=> 3x + 27 = 60
=> 3x = 33
=> x = 11
Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
m∠WZX = 41°
Step-by-step explanation:
diagonals bisect angles and opposite angles are congruent
therefore, ∠WXY ≅ ∠WZY
∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°
If ∠WXZ = 71° then so does ∠XZY
Which means that ∠WZX must equal 112-71 which is 41°
ANSWER
EXPLANATION
The first equation is
The second equation is
We want to eliminate y, so we multiply the first equation by
We now subtract equation (3) from (2)
Multiply both sides by
Substitute into the first equation to solve for x .
Multiply to obtain
Multiply both sides by 2.
The solution is
Answer:
p=-9
Step-by-step explanation:
13p+42=-57+2p
Subtract 2p from each side
13p-2p+42=-57+2p-2p
11p +42 = -57
Subtract 42 from each side
11p+42-42=-57-42
11p = -99
Divide each side by 11
11p/11 = -99/11
p = -9
