Answer:
15 units per unit
Step-by-step explanation:
From the graph we can easily tell that y increases from 0 to 15 as x increases from 2 to 3.
Thus, the average rate of change of f(x) on the interval [2, 3] is:
1 15 - 0 15 units
--------- * ----------- = -------------- = 15 units (rise) per unit (run).
3 - 2 1 1
Answer:
y = 10x + 15
Step-by-step explanation:
you pick two points on the line
I picked (3,45) and (6,75)
you subtract the two x’s and y’s
75 - 45 = 30 (30 is the rise) you go up from 45 to 75
6 - 3 = 3 (you move 3 times to the right to get to the 6) so 3 is the run
slope = rise/run so 30/3 = 10
The y-intercept is the place you start on the graph so that is 15
Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
the original area is 64ft squared or 169ft squared more perdurable 64
Step-by-step explanation:
(x-2)(x+7)=90
x^2 +5x -14=90
x^2 +5x -14 -90=90-90
x^2 +5x -104=0
factor it out
(x−8)(x+13)=0
so 8 or -13
Edge length = 63 feet
Volume = (length) x (width) x (height)
Volume = (63 ft) x (63 ft) x (63 ft) = (63 ft)³ = 250,047 ft³ .
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1 yard = 3 ft
63 ft = 21 yards
Volume of the cube = (21 yd) x (21 yd) x (21 yd) = (21 yd)³ = 9,261 yd³
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A slightly different way:
1 yard = 3 ft
1 yard³ = (3 ft)³ = 27 ft³
Volume of the cube = (250,047 ft³) x (1 yd³/27 ft³) = 250,047/27 = 9,261 yd³
