Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b 2 = ( a + b ) ( a − b ) where a = 7 and b = a + x . − ( 7 + a + x ) ( a + x − 7 )
Answer:
5
Step-by-step explanation:
two plus 3
or
2 + 3
2 + 3 = 5
Answer:
29
Step-by-step explanation:
PEMDAS
PARENTHESIS: [3-10]=7
EXPONENTS: 3^3= 27
MULTIPLICATION:8×7=56
DIVISION:NONE
ADDITION:NONE
SUBTRACTING: 56-27=29
ANSWER: 29
Answer:
x = 2.4 or x = 0.3
Step-by-step explanation:
3x² - 8x + 2 = 0
Quadratic formula
x = {-b ±√b² - 4ac} / 2a
a = 3
b = -8
c = 2
x = {-b ±√b² - 4ac} / 2a
= {-(-8) ±√(-8)² - 4*3*2} / 2*3
= (8 ± √64 - 24) / 6
= (8 ± √40) / 6
= (8 ± 2√10) / 6
= 8/6 ± 2√10/6
= 4/3 ± √10 / 6
x = 4/3 + √10 / 6 or 4/3 - √10 / 6
x = 2.4 or x = 0.3
Answer:
The equation of the perpendicular line would be y = -5/2x + 7
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
2x - 5y = 6
-5y = -2x + 6
y = 2/5x - 6/5
This shows us a slope of 2/5. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negate 2/5 to get -2/5 and then we flip it to get -5/2. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -5/2(x - 2)
y - 2 = -5/2x + 5
y = -5/2x + 7