First, I would distribute the 2 out to the (x+4).
2x+8.
Next, use the foil method to multiply together 2x+8 and (x+3).
2x^2 +14x+24.
Do the same process for the other side.
3(x+2)= 3x+6
(3x+6)(x-1)= 3x^2+3x-6
Set the remaining products of each side of the equation equal to each other.
2x^2 +14x+24=3x^2+3x-6.
Now you must cancel out one side to make the equation equal to zero. Do this by doing the inverse operation on one side of the equation (each value with their like term). I am going to subtract the left side values from the right:
This means:
3x^2 minus 2x^2 equals 1x^2 (or just x^2).
3x minus 14x equals -11x
-6 minus 24 equals -30
The equation should now look like this:
0=x^2-11x-30
Reverse the order to get zero on the right side:
x^2-11x-30=0
Hope this helps! Sorry if I made any careless mistakes (^^;)
Answer:
5 cows and 3 ducks
okay well there are 8 heads and each animal has a head meaning that there are a total of 8 organisms in total. Cows have 4 legs and ducks have 2. Lets say that c is cows and d is ducks. You would have the equations ...
c+d=8
4c+2d=26
well d techniacally = 8-c, so plug in (8-c) for the value of d
4c+2(8-c)=26. Distribute to get
4c+16-2c
and then add like terms. Soy ou would get
2c+16=26.
then just isolate the variable but subtracting 16 from both sides and dividing 2 on both sides. The answer you would get is that c=5 so there are 5 cows. Plug in 5 for c so you get 5+d=8 and tadaaaa you subtract 5 from both sides to get that there are 3 ducks.
hope this helps :)
Answer: 162 sq. yds.
Step-by-step explanation:
Given : A square that is 5yd on a side is placed inside a rectangle that has a width of 11yd and a length of 17 yd.
Then , Area of rectangle = length x width
= 11 yd x 17 yd = 187 sq. yds.
Area of square = (side)²
= (5 yd)² = 25 sq. yds.
Now , the area of the region inside the rectangle that surrounds the square will be Area of rectangle - Area of square
= 187 sq. yds.- 25 sq. yds.
=162 sq. yds.
Hence, the area of the region inside the rectangle that surrounds the square is 162 sq. yds. .
Answer:
radius = circumference ÷ 2× po
Step-by-step explanation:
the radius is 2.55 but it's not in ur options
Answer:
, in words, 17 billion
Step-by-step explanation:
17000 million is the same thing as :
x 
or 
x 
