Answer:
Slope: 
Y intercept: 7
Equation: 
Step-by-step explanation:
The slope is found by doing the equation 
. When looking at the first two points, it's shown that the rise (difference between the two y values) is -3 (since it decreased by 3) and the run (difference between the two x values) is 4 (since it increased by 4).
This gives us a slope of .
The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 7.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
Answer:
Length of Chord QS = 33
Step-by-step explanation:
<u>Length of Chord QS</u>:
QW X WS = PW = WR
12(4x + 1) = 14(3x + 3)
48x + 12 = 42x + 42
48x - 42x = 42 - 12
6x = 30
x = 
= 5
∴ Length of Chord QS = 12 + 4(5) + 1 = 13 + 20 = 33
The intersecting chords theorem or just The chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal. Each chord is cut into two segments at the point of where they intersect. One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.
Answer:
Your right
Step-by-step explanation:
<u>Given</u>:
Given that the measure of arc DF is 162°
We need to determine the measure of ∠E
<u>Measure of ∠E:</u>
The measure of ∠E can be determined using the inscribed angle theorem.
Thus, by inscribed angle theorem, we have;
Substituting 
, we get;
Dividing, we get;
Thus, the measure of ∠E is 81°
Answer: They will end up paying $2,400.
Step-by-step explanation:
Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.
This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)
The Todd family will pay $2,400 in interest by the end of the period.
