Answer:
Step-by-step explanation:
The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.
The axis of symmetry is x = -2.
The 'halfway' value is also the 'average' of 1 and -5: -4/2, or -2.
The axis of symmetry is x = -2.
Answer:
Step-by-step explanation:
Total amount of apples that Nicole bought was 6 pounds.
Each pound of apple cost $1.50
This means that the total cost of the 6 pounds of apple that Nicole bought would be
6 × 1.5 = $9
The store had a discount of $2 off her total purchase. This means that the amount that was paid is
9 - 2 = $7
If Nicole and her friend then divided the cost of the purchase evenly, let x represent the amount that each of them would pay. Therefore, the expression that can be used to determine how much Nicole and her friend each paid for the apples would be
x = 7/2
Answer:
D
Step-by-step explanation:
Since BD and AE are parallel lines, then
∠BDC = ∠AED ( corresponding angles ), thus
4x - 5 = 97 - 2x ( add 2x to both sides )
6x - 5 = 97 ( add 5 to both sides )
6x = 102 ( divide both sides by 6 )
x = 17, hence
∠AED = 97 - 2x = 97 - (2 × 17) = 97 - 34 = 63°
∠BDE and ∠AED are same side interior angles and are supplementary, thus
10y - 3 + 63 = 180
10y + 60 = 180 ( subtract 60 from both sides )
10y = 120 ( divide both sides by 10 )
y = 12 → D
A number without fractions; an integer.
Coordinates of the midpoint of AC:
M ( (-6-2) / 2) , ( 7-9 ) /2 ) = ( -4, -1 )
d ( BM ) = √ ( 4 + 4 )² + ( -1+ 1 )²
d ( BM ) = √ 8 ² =√ 64 = 8
The length of the median from angle B is 8.
