The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.
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<span>Line LM= x+5 and is proportional to line QR which equals 30. Line LN= 50 and is proportional to line QS which equals 75.
</span>The answer is 11.3
Answer:
2(x - 7)(x + 2)
Step-by-step explanation:
Given
2x² - 10x - 28 ← factor out 2 from each term
= 2(x² - 5x - 14) ← factor the quadratic
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)
The factors are - 7 and + 2 , since
- 7 × 2 = - 14 and - 7 + 2 = - 5 , thus
x² - 5x - 14 = (x - 7)(x + 2) and
2x² - 10x - 28 = 2(x - 7)(x + 2)
