Answer:
0
Step-by-step explanation:
h(x) = -16x^2 + 32x
Let x= 2
h(2) = -16(2)^2 + 32(2)
= -16(4) +64
=0
No hablo expanol
7(z+2)-3z=44
7z+14-3z=44
7z-3z+14=44
4z+14=44
-14 -14
4z+14-14=44-14
4z+0=30
4z=30
1/4 1/4
(4z)/4=30/4
(4/4)z=15/2
1z=15/2
z=15/2
z=15/2
Answer:
22 units
Step-by-step explanation:
The perimeter of a polygon is said to be the sum of the length of it's sides.
From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are
A = (−1, 3)
B = (−1, 6)
C = (2, 10)
D = (5, 6)
E = (5, 3)
To find the distance between two points, we use the formula
d = √[(y2 - y1)² + (x2 - x1)²]
Between A and B, we have
d(ab) = √[(6 - 3)² + (-1 --1)²]
d(ab) = √(3²) + 0
d(ab) = √9 = 3
Between B and C, we have
d(bc) = √[(10 - 6)² + (2 --1)²]
d(bc) = √[4² + 3²]
d(bc) = √(16 + 9) = √25 = 5
Between C and D, we have
d(cd) = √[(6 - 10)² + (5 - 2)²]
d(cd) = √[(-4)² + 3²]
d(cd) = √(16 + 9) = √25 = 5
Between D and E, we have
d(de) = √[(3 - 6)² + (5 - 5)²]
d(de) = √(-3)² + 0
d(de) = √9 = 3
Between E and A, we have
d(ea) = √[(3 - 3)² + (5 --1)²]
d(ea) = √[0 + (6)²]
d(ea) = √36 = 6
The perimeter is given as
d(ab) + d(bc) + d(cd) + d(de) + d(ea) =
3 + 5 + 5 + 3 + 6 = 22 units
Answer:
32 - 9 x (don't know what you want simplify or solve for x) x = 32/9
Step-by-step explanation:
Simplify the following:
20 - 3 (3 x - 4)
-3 (3 x - 4) = 12 - 9 x:
12 - 9 x + 20
Grouping like terms, -9 x + 12 + 20 = (20 + 12) - 9 x:
(20 + 12) - 9 x
20 + 12 = 32:
Answer: 32 - 9 x
_________________________________
Solve for x:
20 - 3 (3 x - 4) = 0
-3 (3 x - 4) = 12 - 9 x:
12 - 9 x + 20 = 0
Grouping like terms, -9 x + 12 + 20 = (20 + 12) - 9 x:
(20 + 12) - 9 x = 0
20 + 12 = 32:
32 - 9 x = 0
Subtract 32 from both sides:
(32 - 32) - 9 x = -32
32 - 32 = 0:
-9 x = -32
Divide both sides of -9 x = -32 by -9:
(-9 x)/(-9) = (-32)/(-9)
(-9)/(-9) = 1:
x = (-32)/(-9)
Multiply numerator and denominator of (-32)/(-9) by -1:
Answer: x = 32/9
Answer:
=B2*C2+B3*C32.29*20 = 45.80 and 3.49*35 = 122.15.
Step-by-step explanation: