Answer:
EB = 10
Step-by-step explanation:
For this problem, you can use the power of a point, in the situation where two secants intersect in the interior of a circle. The formula is as follows:
CE * ED = AE * EB
(This is applied specifically to this problem)
We can substitute the values given,
5 * (x - 4) = 3 * x
simplify,
5x - 20 = 3x
and solve.
2x - 20 = 0
2x = 20
x = 10
Since the value of EB is x, EB = 10.
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(i) Slope is
(ii) x - intercept is
(ii) y - intercept is
Explanation:
The given equation is
We need to determine the slope, x - intercept and the y - intercept
(i) Let us determine the slope of the equation.
Since, the equation is of the form where m is the slope
Thus, comparing the equation with the general form , the slope is 2.
Thus, slope is
(ii) Now, we shall determine the x - intercepts.
The x - intercept can be determined by substituting in
Thus, we have,
Thus, the x - intercept is
(iii) The y - intercept can be determined by substituting in
Thus, we get,
Thus, the y - intercept is
Answer:
The two numbers would be -51 and 51
Step-by-step explanation:
To find these, first set the equation for the first number as x. You can then set the second number as x + 102. Now, find their product.
x(x + 102) = x^2 + 102x
Now, to find the minimum, find the value of x in the vertex of this equation.
-b/2a = -102/2(1) = -102/2 = -51
So we know -51 is the first number. Now we find the second using the prewritten equation.
x + 102 = -51 + 102 = 51
Answer:
Option 4
Step-by-step explanation:
It has a negative slope of - (move down one and to the right 5)