Distance = rate x time
D = 450 mph x 2.5 h
D = 1,125 miles
Here: (Aₓ, Ay) = (-3,-4), (Bₓ, By) = (-7,0), (Cₓ, Cy) = (-3, 4)
Now, Formula of area of triangle is:
area = [Aₓ(By - Cy) + Bₓ(Cy - Ay) + Cₓ(Ay - By)] / 2
Substitute the values in to the expression,
area = [-3(0-4) - 7(-4-(-4)) - 3(-4-0)] / 2
area = [-3(-4) -7(0) -3(-4)] / 2
area = [12-0+12] / 2
area = 24 / 2
area = 12
Final answer would be 12 units.
Hope this helps!
Answer:
6 kg
Step-by-step explanation:
Given is weight of an object directly varies with the mass of the object .
Let the constant of proportionality be k
So,
Weight = K×(mass of the object)
For an object , weight = 45 N
mass = 9 kg
So , 45 = K×9
K = 5.
Now, for the other object ,
Weight = 30 N. K = 5 (as obtained above)
So, 30 = 5×(mass of the object)
mass of the object = 6 kg.
Answer/Step-by-step explanation:
The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:
4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given
Apply the distributive property to open the parentheses
4*2a + 4*3 = -3*a -3*-1 + 31 - 11a
8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property
Combine like terms together
8a + 12 = 3 + 31 -3a - 11a
8a + 12 = 34 - 14a ---› Combining like terms
Add 14a to both sides
8a + 12 + 14a = 34 - 14a + 14a
22a + 12 = 34 ----› Addition property
Subtract 12 from both sides
22a + 12 - 12 = 34 - 12
22a = 22 ----› subtraction property of equality
Divide both sides by 22
22a/22 = 22/22
a = 1 ----› Division property of Equality
