Answer:
I assume you are looking for the length and width of the rectangle?
W = 6 meters L = 14 meters
Step-by-step explanation:
P= 2(l + w)
We are given that the length is 2 meters more than double the width.
Let width = x
Let length = 2x + 2
Calculate P based on these.
2 [2x + 2 + x]
2 [3x + 2]
6x + 4 = P
Substitue 40 for P
6x + 4 = 40
6x = 36
x = 6
Substitute 6 in for x in the length and width formulas.
W = 6
L = 14
Check
6 + 14 = 20
And 20 times 2 = 40 meters.
Answer:
A, B and D are true.
Step-by-step explanation:
g (x) = x² - 4x + 3
f (x) = x² - 4x
What this means is that;
g (x) = f (x) + 3
What this implies is that the graph of g (x) is equivalent to when we shift that of f function graph up by 3 units.
Since g (x) is essentially shifting of f (x) upwards by 3 units, it means the graphs will never intersect.
It also implies that the vertex of g (x) will be above that of f (x)
Also since it only moves up and not in any other direction, both functions will still have the same line of symmetry.
Thus, options A, B and D are correct
Answer:
Step-by-step explanation:
Is "32+6 y = 3 2 x + 6" written correctly? I'll assume y=32x+6 is the corerect equation. If 32+6 y = 3 2 x + 6 is correct, reduce it to:
6y = 32x-26
y = (16/3)x - 4.5 and follow the same steps
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An equation perpendicular to y=32x+6 will have a slope that is the negative inverse to the reference line slope, in this case 32. The negative inverse of 32 is -(1/32).
The perpendicular line will be y = -(1/32)x+b.
To find a value for b, use the given point (-12, 15) and solve for b:
y = -(1/32)x+b
15 = -(1/32)*(-12)+b
b = 15- (12/32)
b = 14.625
y=-(1/32)x+14.625