1) y= - 2x² + 8x. It's a parabola open downward (a<0)
2) x - 2.23.y + 10.34 = 0 . Re-write it : y = (x/2.23) + (10.34/2.23), a linear equation.
To find the intersections between 1) & 2), let 1) = 2)
-2x² + 8x = (x/2.23) + (10.34/2.23)
-2x² + 8x - (x/2.23) - (10.34/2.23) =0 ; solve this quadratic for x values:
x' (that is A) = 0.772 & x" (that is B) = 3. (these are the values of x-intercept (parabola with line). To calculate the y-values, plug x' & x' in the equation:
for x' = 0.772, y = 0.34 → B(0.772 , 0.34)
for x" = 3, y = 0.016 → A(3 , 0.O16)
So B IS AT 0.34 Unit from the ground
9514 1404 393
Answer:
AE = 3
Step-by-step explanation:
First of all, we need to find corresponding sides that are defined in both figures. The table below shows the given values.
From the table, we can write the proportion ...
EA/RS = BC/TU . . . corresponding sides are proportional
EA/6 = 4/8 . . . . . . . substitute given lengths
EA = 6(4/8) = 3
The length of AE is 3 units.
The equation used would be:
4m + 2 = 30
where the answer would be 7.
48 m³
Step-by-step explanation:
A cube has equal length width and height
A cube in this case has length 1m meaning the width and height are also 1 m each in length.
The volume of the cube is (L * W * H) = 1 * 1 * 1 = 1 m³
If 48 of these can fit in the bigger box, then the bigger box has the volume of;
48 * 1 m³ = 48 m³
Learn More:
For more on volume of a cube check out;
brainly.com/question/7543014
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Answer:
4.39%
Step-by-step explanation:
There are no marking to identify the coins, so the order is not important. Since the order not important we use combination instead of permutation.
A coin have 2 possible outcome, head or tails. Assuming the coin is fair each outcome will be 50% or 0.5 chance. If heads= A and tails =B, then the probability of 2 pennies will be:
P(A=2) = 2C10 * A^2 * B^(10-2)
P(A=2) = 10*9/2 * 0.5^2 * 0.5^8
P(A=2) = 0.0439= 4.39%
