90 and 91 are relatively prime, the way they can be relatively prime is to have no factors in common-
90- 2x3x3x5
91- 7x13
Answer:
10
Step-by-step explanation:
Since F is the midpoint of EG, EF and FG are equal. We know that FG is 4 units, so EF must be 4 units. We also know that FH and EF make EH, so we substitute the values that we have.
FH + EF = EH
6 + 4 = EH
EH = 10
Answer:
Jamal stands on a dock 1.5 meters above the surface of the water.A trout swims 4.8 meters below Jamal.What is the depth of the trout compared to the surface of the water?
The position of the trout is 3.3 meters below the surface of the water.
Step-by-step explanation:
Given:
Jamal's position from the surface of the water = 1.5 meters
Trout's position with reference to Jamal's position =4.8 meters (Below)
Trout's position from the surface of the water is unknown.
Let
Trouts position be 's'.
And the surface of the water as equivalent to the origin (0,0) co-ordinate of the Cartesian.
Below water we will assign negative height as it lies on negative y-axis (below the origin).
We have to find 's',which can be known from adding both the values.
So the trout is swimming 3.3 meters below the surface of the water.
We can say that it is below the water so it can also be written as negative 3.3 (according to our coordinates).
The position of the trout is 3.3 meters below the surface of the water.
We have an equation with parentheses. To make our lives easier, first get rid of the parentheses. We do this by using the distributive property.
It is used like this: a(b + c) = ab + ac.
Use the distributive property on the left-hand side.
3(x - 1) = 6
3x - 3 = 6
Now we have an equation that is easier.
The x variable is being multiplied by 3 and added to -3.
Reverse all of these operations with their inverse operation.
3x - 3 = 6
3x = 9 <--- I got rid of the -3 term by using the inverse of subtraction. Addition.
And I did the same for both sides to keep the equation true.
x = 3 <--- The inverse of multiplication is division.
So, I divided both sides by 3.
So, x is equal to 3.