Partial FOIL method for the first half
Then just add like terms
and put both half’s together
then have x on one side and numbers on the other
then you can work out X
X= -1
To simplify the expression we proceed as follows:
<span>d^2+4d+3/d^2-7d-8 + d^2-2d-8/d^2+5d+6
putting like terms together we have:
(d^2+d^2)+(4d-7d-2d+5d)+(3/d^2-8/d^2)+(-8+6)
=2d^2+0d-5/d^2-2
=2d</span>²-5/d²-2
Answer: 2d²-5/d²-2
Answer:
The lamppost is 30 ft tall.
Step-by-step explanation:
You need to draw a diagram of the problem. Refer to attachment.
Now you need to convert the measurements that are in feet to in. The 1 foot ruler is now 12 in. and the 5 foot post's shadow is now 60 in.
The next step is to create a proportion between both angles. 
x over 1 is simplified to x and 60 divided by 2 is just 30. So the lamppost is 30 ft tall.
Hope that helped. :)
Answer:
Solution 2. A right triangle is formed with the bottom of the flagpole, the snapped part, and the ground. One leg is of length $1 ...
Missing: picture way barely
Step-by-step explanation:
A flagpole is originally $5$ meters tall. A hurricane snaps the flagpole at a point $x$ meters above the ground so that the upper part, still attached to the stump, touches the ground $1$ meter away from the base. What is $x$?
$\text{(A) } 2.0 \qquad \text{(B) } 2.1 \qquad \text{(C) } 2.2 \qquad \text{(D) } 2.4 \qquad \text{(E) } 2.5$
Solution 1
The broken flagpole forms a right triangle with legs $1$ and $x$, and hypotenuse $5-x$. The Pythagorean theorem now states that $1^2 + x^2 = (5-x)^2$, hence $10x = 24$, and $x=\boxed{2.4}$.
(Note that the resulting triangle is the well-known $5-12-13$ right triangle, scaled by $1/5$.)
Solution 2
A right triangle is formed with the bottom of the flagpole, the snapped part, and the g
Cross multiplication will help find the value of x
9*2=18
3*z=3z
Now we have :
3z=18
Divide both sides by 3 to isolate z
Final answer: z=6
