3(7v-5)-v(10v-9) = 21v - 15 -10v² + 9v = - 10v² + 30v - 15
400(1.07)=428
28(5)=140
140+400= 540.
$540 is your answer
Answer:
Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".
Part A
The definition of the Intersecting Secant-Tangent Theorem is:
"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then 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."
This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".
Mathematically, it can be written as:
Part B
It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:
Thus,
Thus the length of TU=6 inches
To solve this problem, we should understand how order of operations works. Perhaps the best way to show you this would be solving the problem with all of the work clearly labeled?
=4[2(21-17)+3] Original Problem
=4[2(4)+3] Solved the Parentheses
=4[8+3] Multiplied the 2 and 4
=4[11] Added the 8 and 3
=44 Multiplied the 4 and 11
An easy way to remember this is PEMDAS, which is an acronym for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Although it will not apply in this scenario (because we have brackets), it will come in handy for many others like this.
Using all of the information above, we can conclude that this expression equals 4.
770 because the 1 is higher than 5 so you round up
