Answer:
Step-by-step explanation:
From the given diagram,
i. ACBD - circle
ii. AB = secant
ii. CD = diameter
iii. EC, EB, ED, GF and GH - radii
iv. D, C, H and F - points of tangency
v. ACB - segment
vi. CBD - semicircle
vii. CBE, BDE and FHG - sectors
vii. E and G - centers of the given circles
viii. BH and DF - tangents
ix. DAB and HF - major segments
x. EDF, EBH, GHB - right angles
xi. DA, AC, CB, BD and FH - minor arcs
They gave you a set of numbers that you replace the variable x in the equation to see if it gives a correct answer so just do exactly that.
6 + 2x = 24
6 + 2(6) = 24
6 + 12 = 24
18 = 24 so incorrect. both sides are not equal to each other.
6 + 2x = 24
6 + 2(9) = 24
6 + 18 = 24
24 = 24 so correct. both sides are equal to each other.
6 + 2x = 24
6 + 2(15) = 24
6 + 30 = 24
36 = 24 so incorrect. both sides are not equal to each other.
6 + 2x = 24
6 + 2(16) = 24
6 + 32 = 24
38 = 24 so incorrect. both sides are not equal to each other.
so your answer is b) 9
hope this helps, God bless!
first speed --- x mph
return speed -- x+16 mph
6/x + 6/(x+16) = 1
times each term by x(x+16)
6(x+16) + 6x = x(x+16)
x^2 + 4x - 96 = 0
(x-8)(x+12) = 0
x = 8 or x is a negative
her first speed was 8 mph
her return speed was 24 mph
check:
6/8 + 6/24 = 1 , that's good!
Answer:
The measure of the angle between the vectors = Ф = 11.30°
Step-by-step explanation:
Given
Next, find the lengths of the vectors:
u = ⟨2, –3⟩
u = ⟨2, –3⟩
Finally, the angle is given by:
cos (Ф) = 5/√26
Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)
Ф = 11.30°
Thus, the measure of the angle between the vectors = Ф = 11.30°
In the equation: -6x - 19 - 4x replace x with -2
-6(-2) - 19 - 4(-2)
Use your rules of PEMDAS to evaluate
12 - 19 + 8
-7 + 8
1
Hope this helped!
~Just a girl in love with Shawn Mendes
