That is an example of the Distributive Property!
Answer:
h = 2A/b
Step-by-step explanation:
The given area triangle is denoted by:
A=1/2bh
By solving for "h", we're simply asked to make "h" the subject of the formula, that is putting "h" on one side of the equation and all other variable/values on the other side of the equation.
By doing this, we move other variables presently on the right side with "h" and the left hand side of the equation takes them all except "h", then we have:
2A/b = h.
Answer:
x2- 2x+1 =x2-x-x+1
=x(x-1) -1(x-1)
=(x-1)(x-1)
We need to keep it this way as this is the simplest way of expressing its factors.
-1
Answer:
It's the first one, the one that has the triangles.
Step-by-step explanation:
They only have a difference of 2. Multiplying the small one by 2 equals the larger one. Doing the opposite and dividing 2 by the larger one gives you thee small triangle. they both have the same angles which makes them similar.
Answer:
Step-by-step explanation:
Let the height = h
Let the base = 4h + 7
Area of a triangle = 1/2 * b * h
Area = 93 square inches
1/2 * (4h + 7)* h = 93 Multiply both sides by 2
(4h + 7) * h = 93*2
(4h + 7)*h = 186 Remove the brackets
4h^2 + 7h = 186 Subtract 186 from both sides.
4h^2 + 7h - 186 = 0
Use the quadratic formula to solve
a = 4
b = 7
c = - 186
x1 = (-7 + sqrt(7^2 - 4*4*(-186) ) /2*4
x1 = (-7 + sqrt(49 - 16*(-186)) / 8
x1 = (-7 + sqrt(49 + 2976)) / 8
x1 = (-7 + sqrt(3025)) / 8
x1 = (-7 +55 ) / 8
x1 = (48)/8
x1 = 6
There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75
h = 6
b = 4*6 + 7 = 31
Check
Area = 1/2 * b * h
Area = 1/2 * 31 * 6
Area = 1/2 *186
Area = 93 which is what we were given so the answer is correct.
