Answer:
(A)6 kilometers
Step-by-step explanation:
First, we determine the value of a using Pythagoras Theorem.
Therefore:
Distance along the long route = 8 + 15 =23 km
Distance along the shortcut =17 km
Difference =23-17 =6km
Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.
Answer:
V =972 pi mm ^3
Step-by-step explanation:
The diameter is 18 so the radius is 1/2 of the diameter
18/2 = 9
r=9
The volume of a cylinder is
V = pi r^2 h
V = pi (9)^2 12
V =972 pi mm ^3
Answer:
rounding to the nearest tenth
Step-by-step explanation:
1. 2x+3<-3 = x<-3
You get this by subtracting 3 from both sides, which gives you -6. Then divide 2 from both sides.
2. -3x<-6 = x>2
You divide -3 from both sides. You must switch the sign because any time you multiply or divide a negative integer from both sides of an inequality the sign is switched.
3. -5x<5 = x>1
See number 2
4. 5-2x<11 = x>-3
Subtract 5 from both sides to get -2x<6. Then, divide both sides by -2 and switch the sign.
5. x+2<5 = x<3
Subtract 2 from both sides
6. 2-3x<5 = x>-1
Subtract 2 from both sides to get -3x<3. Then, divide -3 from both sides and switch the sign.
(x-4)(x-3) so what you do is
x -4
x x^2 -4x
-3 -3x 12
x^2-7x+12
your answer would be -7x
