Answer:
q = -2
Step-by-step explanation:
-2x²-8x = 10 (divide both sides by -2)
x² + 4x = -5 (Apply completing the square method)
x² + 4x + (4/2)²= -5 + (4/2)²
x² + 4x + 2²= -5 + 2² (reduce left hand side using a²+2ab+b² = (a+b)² )
(x+2)² = -5 +4
(x+2)² = -1
(x+2)² + 1 = 0 (multiply both sides by -2)
(-2)(x+2)² + 1 (-2) = 0
-2[x - (-2)]² + (-2) = 0 ---> compare this with -2(x-p)² + q = 0
We can see that p = 2 and q = -2
Answer:
24' 2 "
Step-by-step explanation:
12'11"
+ 11'3"
‾‾‾‾‾‾
23 ' 14 "
But we know there are 12 inches in a foot so subtract 12 inches and add 1 ft
14-12 = 2"
23+1 = 24 ft
24' 2 "
Complete question is attached.
Answer:
a) ED = 6.5 cm
b) BE = 14.4 cm
Step-by-step explanation:
From the triangle, we are given the following dimensions:
AB = 20 cm
BC = 5 cm
CD = 18 cm
AE = 26 cm
We are asked to find length of sides ED and BE.
a) Find length of ED.
From the triangle Let's use the equation:
Cross multiplying, we have:
AB * ED = AE * BC
From this equation, let's make ED subject of the formula.
Let's substitute figures,
Therefore, length of ED is 6.5 cm.
b) To find length of BE, let's use the equation:
Cross multiplying, we have:
AB * CD = AC * BE
Let's make BE subject of the formula,

From the triangle, length AC = AB + BC.
AC = 20 + 5 = 25
Substituting figures, we have:


Therefore, length Of BE is 14.4cm
Answer:
3,333...
Step-by-step explanation: U can do a rule of three
4 ---- 1
x ---- 5/6
4 x 5/6 = 20/6
20/6 = 3,33...