For a polynomial of the form ax^2+bx+c rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅4=20 and whose sum is b=12.
<u>Factor 12 out of 12x.</u>
5x^2+12(x)+4
<u>Rewrite 12 as 2 plus 10</u>
5x^2+(2+10)x+4
Apply the distributive property.
5x^2+2x+10x+4
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(5x^2+2x)+10x+4
Factor out the greatest common factor (GCF) from each group.
x(5x+2)+2(5x+2)
Factor the polynomial by factoring out the greatest common factor, 5x+25x+2.
(5x+2)(x+2)
When an <span>inequality is true it is in the region that both are shaded, so the answer would be 1,1 and 2,2</span>
Answer:
y -8 = -5(x -6)
Step-by-step explanation:
The point-slope form of the equation for a line is generally written ...
y -k = m(x -h)
for slope m and point (h, k).
The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...
y -8 = -5(x -6)
Answer:
A) -2/5
Step-by-step explanation:
Note that for a slope, the slope of the line is found by using the equation:
slope = (rise/run).
In this case, find two points. For example, i will use:
(0, 2) & (5, 0). (x = 0, y = 2) ; (x = 5, y = 0)
Note that "rise" = y, and "run" = x. Plug in the corresponding numbers for the corresponding points.
(2 - 0)/(0 - 5) = slope
Simplify
(2)/(-5) = slope
-(2/5) is your answer.
Note that it does not matter where the negative sign is placed.
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Answer:
1245
Step-by-step explanation:
You have to multiply 415 and 3, since 10 x 3 = 30
415 x 3 = 1245
