Answer:
The coefficient of the squared expression in the parabola equation is 
Step-by-step explanation:
The equation of a parabola in its vertex form is:
Where the vertex of the parabola is the point (h, k)
a is the ceoficiente of the term to the square.
We need to find the equation of a parabola that has its vertex in the point:
(-5, -2)
So:
Therefore the equation is:
We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola
Finally the coefficient is a = 4
Answer:
Step-by-step explanation:
<em>Look at the picture.</em>
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We have:
Therefore
<em>divide both sides by 2</em>
Answer: 0.28
Step-by-step explanation:
Binomial probability formula :
, where x = Number of success , n= sample size , p= probability of success for each trial.
Let x = Number of hens lay eggs.
then, p= 0.80
n= 12
For x=10
Hence, the required probability = 0.28
Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
Answer: 23
Explanation: simplify using PEMDAS so solve parentheses, then solve the exponent, multiply the second number by 4, and then add, then subtract.
Hope this helps!
