Answer:
Step-by-step explanation:
192 divided by 2 = 96 times 3 =288
Answer: True
Step-by-step explanation: Because if we have two independent events and want to know the probability of their happening at the same time, we multiply the two probabilities together. "Two events happening at the same time" is a compound event. We more often see this as "P(xy)," the probability of x AND y.
Answer:
The measure of angle CDA is 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABF
Applying Pythagoras Theorem



In the right triangle CED


so

substitute the values



is given
here ,
or,

or,

or,7x²+3x-4=-4
or,7x²+3x=0
or,x(7x+3)=0
Either,x=0| Or,7x+3=0
|or,7x=-3
|or,x=

So , the solution set is S={0,-

}
Answer:
D. b = 3
Step-by-step explanation:
Given the following data;
Points on x-axis (x1, x2) = 10, 12
Points on y-axis (y1, y2) = 23, 27
First of all, we would determine the slope.
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope, m = 2
The equation of straight line is y = mx + b
Where;
m is the slope.
x and y are the points
b is the intercept.
To find the intercept, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 23 = 2(x - 10)
y - 23 = 2x - 20
y = 2x - 20 + 23
y = 2x + 3 = mx + b
Therefore, intercept, b = 3