Answer:
y -1 = 2(x -3)
Step-by-step explanation:
The given equation is in slope-intercept form:
y = mx +b . . . . line with slope m and y-intercept b
y = 2x +3 . . . . . line with slope 2 and y-intercept 3
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A parallel line will have the same slope. Since you are given a point, it is convenient to use the point-slope form for the equation you want:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -1 = 2(x -3) . . . . . . line with slope 2 through point (3, 1)
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<em>Additional comment</em>
If you want the slope-intercept form you can solve for y:
y = 2(x -3) +1 = 2x -6 +1
y = 2x -5 . . . . . slope-intercept form of the parallel line
Answer:
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
Step-by-step explanation:
The figure is as follows :
Given - The diagram represents two statements: p and q.
To find - Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Solution -
From the figure, we can see that,
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
The truth table is as follows :
p q p ∧ q
T T T
T F F
F T F
F F F
3x² - 21
Factor 3 from both terms:
3 (x² - 7)
To me, that's as far as you should need to go. But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:
3 (x + √7) (x - √7)
Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:
3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)
but to me, this would be nonsense.
Answer:
A ≈ 43.3 cm²
Step-by-step explanation:
the area (A) of an equilateral triangle is calculated as
A = 
( s is a side of the triangle )
given perimeter = 30 cm , then
s = 30 cm ÷ 3 = 10 cm
then
A = 
= 
= 25
≈ 43.3 cm² ( to the nearest tenth )
