Answer:
z= 1/2
Step-by-step explanation:
add 3z to 7z to get z by itself
-1=1-4z
subtract one from both sides
-2=-4z
divide
z=1/2
The final answer would be:
9x / (x-8)
The exact steps are shown in the attached picture.
Note that when dividing two fractions, we convert the division into multiplication and flip the second term.
<h3>
Answer:</h3>
- The decrease is Linear.
- The component will cost $84.59 in 3 years
- The decline in price is Exponential.
<h3>
Step-by-step explanation:</h3>
Question 1:
In this question, it's asking you if the decreasing rate is linear or exponential.
The decreasing rate would be <u>linear</u>, due to the fact that it is decreasing at a constant rate of 11%. The decreasing rate doesn't change, which makes this linear.
Question 2:
In this question, it's asking you what would the component's cost be in 3 years if it started off at $120.
To find this, we're going to need multiply the price by -.11, and then subtract to get the price. We would repeat this until we reach 3 years.
Work:
Question 3:
In this question, it asks if the decline in price is linear or exponential.
The decline in price would be <u>exponential</u>, due to the fact that the decrease in price is not always the same, since it changes every year. The price doesn't decrease at the same price each year. As you see from question 2, the change in price is not the same each year.
<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
Answer:
Part 1) m∠1 =(1/2)[arc SP+arc QR]
Part 2)
Part 3) PQ=PR
Part 4) m∠QPT=(1/2)[arc QT-arc QS]
Step-by-step explanation:
Part 1)
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
we have
m∠1 -----> is the inner angle
The arcs that comprise it and its opposite are arc SP and arc QR
so
m∠1 =(1/2)[arc SP+arc QR]
Part 2)
we know that
The <u>Intersecting Secant-Tangent Theorem,</u> states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
so
In this problem we have that
Part 3)
we know that
The <u>Tangent-Tangent Theorem</u> states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments
so
In this problem
PQ=PR
Part 4)
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
In this problem
m∠QPT -----> is the outer angle
The arcs that it encompasses are arc QT and arc QS
therefore
m∠QPT=(1/2)[arc QT-arc QS]