These are easy if you know " FOIL ". That's a procedure that takes you through multiplying two binomials.
FOIL stands for
-- <u><em>F</em></u>irst terms
<span>-- </span><u><em>O</em></u>utside terms
<span>--<em> </em></span><u><em>I</em></u>nside terms
<span>--<em> </em><u><em>L</em></u></span>ast terms
and that's how you keep everything straight while you're doing it.
(ax + b) x (cx + d)
Multiply First terms . . . 'ax' times 'cx' = <em>acx²</em>
Multiply Outside terms . . . 'ax' times 'd' = <em>adx</em>
Multiply Inside terms . . . 'b' times 'cx' = <em>bcx</em>
Multiply Last terms . . . 'b' times 'd' = <em>bd</em>
Now addummup:
(ax + b) x (cx + d) = <em>acx² + adx + bcx + bd</em>
From there, you can look for opportunities to make it look cleaner and prettier ... factoring, combining like terms, etc.
Letter D will be your answer. So, the answer is f(x)-4.
Answer:
2. it stays the same even if the angles in the triangle change
a. the angles must add up to 180º. a straight line is equal to 180º, so as long as the angles add up to 180º, it will be a straight line.
5. it represents the sum of the measures of the interior angles of the triangle
a. Kellianne lined up the interior angles of the triangle. if added they equal 180º which is the measure of the straight line.
7. it combines the three interior angles of the triangle to form a straight line
a. same answers as previous
8. it is a straight line with a measure of 180º
a. refer to above
hope this helps :)
It’s sum is 456 and it’s opposite is 654
You need to know the formula for the perimeter of a rectangle. We won't use it right away, but it is pertinent information.P = 2 ( l + w )Now, we know that the fencing costs $15.00 per foot, and that the length is 19.50 feet. We first need to find the price of one "length" side of the fence. To do this, multiply 19.50 by 15.0019.50 x 15.00 = 292.5Next, we look at the perimeter equation to see what we can plug in where.P = 2 ( l + w )We can put in the total price of the fencing for the yard as P, and the amount of one length side of the fence as l.945.00 = 2 ( 292.5 + w )And now, we simply solve for w.945.00 ÷ 2 = ( 2 ( 292.5 + w ) ) ÷ 2472.5 = 292.5 + w472.5 - 292.5 = 292.5 + w - 292.5w = 180It costs $180 for one "width" side of the fence. To find out how many feet that is, we do the opposite of what we did with the length. Instead of multiplying by $15.00, we divide by $15.00$180.00 ÷ $15.00 = 12The width of Claire's backyard is 12 feet
HOPE THIS HELPS :)
