Answer:
x= -5
Step-by-step explanation:
Add 5 to both sides
-3x -5+5 = 10 +5
-3x = 15
Divide both sides by -3.
-3x/-3= 15/-3
x= -5
1)
Break up the irregular shape into two rectangles
12 * 4.5 = 54
2 * 5 = 10
54 + 10 = 64 cm^2
2)
Break up the irregular shape into a triangle and rectangle
24 * 8 = 192
To get the base of the triangle:
24 - 6 - 6 = 12
To get the height of the triangle:
16 - 8 = 8
1/2(12 * 8) = 48
192 + 48 = 240 yd^2
3)
Separate into triangle and semi circle
To get the base: 8 * 2 = 16
1/2(15 * 16) = 120
(pi (8)^2)/2 = 100.5
120 + 100.5 = 220.5 cm^2
4)
Separate half circle from rectangle
(pi (7.5)^2)/2 = 88.4
7 * 15 = 105
88.4 + 105 = 193.4 m^2
5)
Separate triangle from trapezoid
2.8 * 7 = 19.6
(7+9/2)(3.6) = 28.8
19.6 + 28.8 = 48.4 ft^2
6)
Separate semi circle from trapezoid
(pi(3)^2)/2 = 6.3
(6+10/2)(8) = 64
6.3 + 64 = 70.3 yd^2
Answer:
14
Step-by-step explanation:
The volume of a 3d rectangular prism is the length*width*height
Therefore your answer is:
3.5*8*0.5 = 14
Answer:
case a) ----> open up
case b) ----> open down
case c) ----> open left
case d) ----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have
so
so
therefore
The parabola open up
case b) we have
so
therefore
The parabola open down
case c) we have
so
therefore
The parabola open to the left
case d) we have
so
therefore
The parabola open to the right
There are 6 possible outcomes, and 3 favourable events (3 even numbers - 2,4,6)
The probability is