Answer:
x = 13
Step-by-step explanation:
Since AD is a straight line, then the 3 angles at C sum to 180° , thus
∠ BCE = 180° - (90 + 64)° = 180° - 154° = 26°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ABE is an exterior angle of the triangle, thus
3x = x + 26 ( subtract x from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
Yes you are right it's C)
Notice that f(-2) = (-2)³ +2( - 2)² + 4(-2) + 8 =0
Then x³+2x²+4x+8 is divisible by (x+2)
Perform this division & you will get:
x³+2x²+4x+8 = (x+2)(x²+4)
The root of (x+2) is the value that render it nil, that is x=-2
The root of (x²+4) are imaginary (not real) because
x²+4 =0 ==> x² = -4 & x=√-4 or x= 2i (nor real).
Hope you understood the reasoning
The 6 pack worth 3.79 costs $0.63 cents each bottle. The 9 pack for 4 is worth $0.50 cents the bottle. And the last on is worth $0.57 meaning the 9 pack for 4.50 costs the least per bottle.
Answer:
Intercept = - 3 ; slope = 18
Step-by-step explanation:
Given the points :
(3, 51) ; (5, 87)
x1 =3, y1 = 51, x2 = 5 ; y2 = 87
Slope intercept relation:
y = mx + c
m = slope ; c = intercept ; x and y are x, y vlayes respectively
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (87 - 51) / (5 - 3)
Slope = 36 / 2
Slope (m) = 18
The intercept c :
m = 18 ; x = 5 ; y = 87
Substitute values into the slope intercept formula :
87 = 18(5) + c
87 = 90 + c
c = 87 - 90
c = - 3
Intercept = - 3
All you have to do is find the length of the sides using the distance formula and then add the lengths together to find the perimeter
