see the attached figure to better understand the problem
we have that
Step 1
<u>Find the value of AC</u>
we know that
in the right triangle ABC
substitute the values in the formula
Step 2
<u>Find the value of BC</u>
we know that
in the right triangle ABC
Applying the Pythagorean Theorem
substitute the values
Step 3
<u>Find the value of BD</u>
we know that
in the right triangle BCD
Applying the Pythagorean Theorem
substitute the values
therefore
<u>the answer is</u>
the length of BD is 11.93 units
The answers are 1/5,2/5,3/5,and 4/5
Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Y - 4.5 = 12.2
your solving for y which means your trying to get rid of 4.5 so that y can equal something. The opposite of -4.5 would be +4.5, so you would add 4.5 to both sides to get
y = 16.7
So your answer would be
A. Add 4.5
and also dont' say your stupid because all you need is a little explanation and you'll get it, its very easy you just need to take the time to practice :-)
Answer:
Multiply the first two binomials: (x+2) & (x+4) using the FOIL method (First, Outer, Inner & Last).
(x+2)(x+4) = x^² + 4x + 2x + 8 = x^² + 6x + 8
Then we multiply the trinomial that we got from the first stage and multiply that by the remaining binomial:
(x^² + 6x + 8) (x + 4)
= x^³ + 4x^² + 6x^² + 24x + 8x + 32
Collect the like terms together to give you:
x^³ + 10x^² + 32x + 32
