Answer:
= b
or
7 = b
(they are the same value, just different ways of writing it)
Step-by-step explanation:
4 = - (5) + b
simplify
4 = - + b
now use inverse operations
4 = - + b
+ +
= b
Find the probability of at least one
1 answer:
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Answer:
b = 15.75
Step-by-step explanation:
Lets find the interception points of the curves
36 x² = 25
x² = 25/36 = 0.69444
|x| = √(25/36) = 5/6
thus the interception points are 5/6 and -5/6. By evaluating in 0, we can conclude that the curve y=25 is above the other curve and b should be between 0 and 25 (note that 0 is the smallest value of 36 x²).
The area of the bounded region is given by the integral
The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.
125/18 = b^{1.5}/9
b = (62.5²)^{1/3} = 15.75
Answer:
B 1/3 then reflection across y axis then move figure 2 units to down and 1 right.
Step-by-step explanation:
The figure ABC is bigger than FED so the scale factor is less than one since we are going to ABC to FED. Let look at corresponding sides, AB and FE. AB distance is 3. FE distance is 1 so let divide
The scale factor is 1/3.
The new points are at A'(-2,0) B'(-2,1) C'(-1,0).
Then we apply reflection.
Since FED is in the 4th quadrant, we are going to reflect across the y axis.
That becomes using formula
(x,y) goes to (-x,y) when reflecting across yaxis.
A''(2,0) B''(2,1) C''(1,0)
Now we will apply the translation. We can simply just move the figure 2 units down and 1 unit to the right.