a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the extern
al segment of the secant is 4 inches, then it which of the following is the length,in inches, of the internal segment of the secant?
1 answer:
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Answer: y=6x+7
Step-by-step explanation:
To find the equation of the line, we want to find the slope with the formula .
Now that we know th eslope, we can start to fill out the equation. To find the y-intercept, we can plug in a given point and solve.
y=6x+b
1=6(-1)+b [multiply]
1=-6+b [add both sides by 6]
b=7
Now, we know the equation is y=6x+7.
Answer:
Step-by-step explanation:
Let's start by using change of base property:
So, for
Now, using change of base for
You can express as:
Using reduction of power property:
Therefore:
As you can see the only difference between (1) and (2) is the coefficient :
So:
Answer:
|x - 5| = 2
Step-by-step explanation:
Since we are not given a zero on the number line, we do the following:
Average = midpoint between two numbers on the number line
For this number line,
Average = 3 + 7 ÷ 2
Average = 5
Next we find how many units away are each number from the middle:
3 is 2 units away from 5
7 is 2 units away from 5
Units away = 2
Let's use the formula:
|x - average| = Units away
Substitute values into equation
|x - 5| = 2
Now we solve
Solve for x over the integers:
|x - 5| = 2
Split the equation into two possible equations:
x - 5 = 2 or x - 5 = -2
Add 5 to both sides:
x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5
Answer:
x = 7 or x = 3
LOOK AT THE GRAPH AND NUMBER LINE
