Answer:
(i think) 1.5
Step-by-step explanation:
If you replace y with the equation y=2x-3, you get 5(2x - 3)
if you distribute this, it equals 10x - 15
combining like terms 10x + 10x - 15=15 will turn into 20x - 15 = 15
if you add 15 to both sides, -15 will cancel and 15 will turn into 30
20x = 30
divide both sides by 20 which will lead to x=1.5
The answers are:
A) V-Shaped (because absolute value graphs are v-shaped)
C) Opens up (because the leading coefficient is positive)
F) Symmetric with respect to the y-axis (if you look at the graph y= |x|, you see that the y-axis cuts through the middle of the "v-shape", and that it is symmetric)
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
Answer:
PARALLEL
Step-by-step explanation:
The second equation, y = (1/3)x - 4, has already been solved for y. To compare the slopes easily, we need now to solve the first equation for y, obtaining y = (1/3)x - 4.
We see that these two lines have the same slope, m = 1/3, and thus conclude that these lines are PARALLEL.
