Answer:
-2x^2 + 3x -1
Step-by-step explanation:
y = ax^2 + bx + c
(0,-1):
-1 = a(0)^2 + b(0) + c
-1 = 0 + 0 + c
-1 = c
(1,0):
0 = a(1)^2 + b(1) + c
0 = a + b + c
(2,-3):
-3 = a(2)^2 + b(2) + c
-3 = 4a + 2b + c
Replace c with -1
0 = a + b -1
1 = a + b
-3 = 4a + 2b -1
-2 = 4a + 2b
-1 = 2a + b
Solve:
2a + b = -1
-1a - b = -1
a = -2
2a + b = -1
-2a -2b = -2
-b = -3 divide both by -1: b = 3
a = -2; b = 3; c = -1
y = ax^2 + bx + c or y = -2x^2 +3x -1
Answer:
x = 27.57 in to the nearest hundredth.
Step-by-step explanation:
The longer diagonal is opposite the obtuse angle.
Also as it is a rhombus all sides = 14 in.
Use the Cosine Rule:
x^2 = 14^2 + 14^2 - 2*14^2 cos 160
x^2 = 760.36
x = sqrt 760.36
x = 27.57 in.
Answer:
Victor put 35 cookies on a plate for the family party.
Step-by-step explanation:
The information provided is:
- Victor baked 50 cookies.
- He put 70% of them on a plate to serve at a family party.
- The rest of the cookies he placed in a box to take to his soccer team.
The total number of cookies Victor baked is, <em>N</em> = 50.
Compute 70% of 50 as follows:
Thus, Victor put 35 cookies on a plate for the family party.
Alternate interior angles.
Explanation
When two angles lie on same line but on different sides, then it's Alternate interior angles.
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