Answer:
Area of the new triangle = 0.28125ab square units.
Step-by-step explanation:
Take an example of a right-angled triangle with sides a, b and c.
Where a is the height and b is the base and c is the hypotenuse.
Area of the original triangle is given by: 
× base × height
In our case, area = × a × b
After the dimensions of our triangle have been decreased to 75%, new area becomes:
× 0.75a × 0.75b = 0.28125ab square units.
Answer:
x=4
Step-by-step explanation:
Isolate the variable, then check.
2 x 4=8
2+8=10
:)
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
Answer:
1. comeptition. base word: compete
2. protection. base word: protect
3.rotation. base word: rotate
4.application. base word: apply
5. division. base word: divide
6. organisation. base word: organise
7. production. base word: produce
8. solution: base word: solve
9. opposition. base word: oppose
10. operation. base word: operate
Step-by-step explanation:
