Answer:
x^2 - 64
Step-by-step explanation:
A difference of squares is a special product in the form (a^2 - b^2)..their factored form is (a - b)(a + b)..
Thus here a = x and b = 8, thus if x + 8 is a factor, then x - 8 is also a factor..
(x + 8)(x - 8) <-- expand this out using difference of squares rules..
= (x)^2 - (8)^2
= x^2 - 64 <-- answer...
You could also expand that using FOIL (FOIL - first, outer, inner, last)..
(x + 8)(x - 8)
= (x)(x) + (x)(-8) + (8)(x) + (8)(-8)
= x^2 - 8x + 8x - 64 <-- the -8x and 8x cancels out..leaving you with..
= x^2 - 64
Answer:
Step-by-step explanation:
There are 180 degrees in a triangle. With that information we can make the equation: 180=(47+85)+x.
When you solve it becomes:
180=132+x --> x=48 degrees
Hope that helped!
Answer:
Prime
Step-by-step explanation:
x² + 20x − 36
You must find a pair of numbers that multiply to give -36 and add to give +20.
The likely candidates are 2 and 18, and they must have opposite signs to give a negative product.
+2 × (-18) = -36; +2 + (-18) = -16
-2 × 18 = -36; -2 + 8 = +16
Neither combination gives +20 as the sum.
The expression can't be factored with rational numbers.
The expression is prime.
Answer:
- 5
Step-by-step explanation:
The equation of a line in slope - intercept form is
y = mx + c ( m is the slope (gradient) and c the t- intercept )
y = 3x - 8 ← is in slope- intercept form
with gradient m = 3 and y- intercept c = - 8 , thus
m + c = 3 + (- 8) = 3 - 8 = - 5
for converting km to meters
1 km = 1000 m
5807 km = 1000 × 5807 m
= 5807000m ...
for converting cups to gallons
1 cup = 0.0625 gallons
2144 cups = 0.0625 × 2144 gallons
= 134 gallons
