Answer:
The equation of the line would be y = -3/2x - 1
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
3x + 2y = 8
2y = -3x + 8
y = -3/2x + 4
Since we know parallel lines have the same slope, we know our new line has a slope of -3/2. We can now use that along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -4 = -3/2(x - 2)
y + 4 = -3/2x + 3
y = -3/2x - 1
Her insurance premiums are 150 per month.....there is 12 months in a year....so in 1 year, her premiums totaled : (150 * 12) = 1800
she paid a $ 500 deductible
she paid 20% of $ 3000 for the accident..
0.20 * 3000 = $ 600
therefore, her total healthcare expenses for 1 yr totaled :
1800 + 500 + 600 = $ 2900 <==
Answer:
2/6 or simpler 1/3
Step-by-step explanation:
The correct answer is option a) revitalizes . . consign to.
In her poems, Alice Walker retrieves and revitalizes parts of Black culture that some have been all too quick to consign to the past as fossilized artifacts.
The meaning of "revive" is "to strengthen," whereas "retrieve" is "to recuperate or regain."
Furthermore, the phrase "consign to the past" refers to sending something into the past in order to get rid of or get away from it, therefore Option A is the best fit for the statement.
As a result, by removing its ancient, fossilized objects, the poet is attempting to reclaim or reinforce some aspects of black culture.
Learn more about Alice Walker
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Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
