Which graph shows an increasing exponential function with a y-intercept of 4?
2 answers:
Answer: Well, you never actually included any instruction, but, i'm gonna say it is the top right graph.
Step-by-step explanation:
You can deduce that the bottom two are not as the bottom right is going at a consistent rate which makes it linear, the bottom left would be the case if it was an x-intercept of 4. The top left graph is going into the negative x-axis meaning that as x were decreasing, y would be increasing and it is asking for an entire exponential function so you are left with the top right which is in the positive x and y axis and intercepts the y-axis at 4.
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Since RT is perpendicular to the river, you have that segment CT is perpendicular to RT and, thus, CT⊥RB, because point B lies in a straight line with points R and B. Angles TCR and TCB are congruent (she walks from C in a direction that makes the same angle as TCR with the river bank on her side of the river).
This means that triangle CRB is isosceles triangle with base BR and height CT, because height CT is also a bisector of angle BCR.
The height CT divides triangle BCR into two right triangles BCT and RCT, where:
- CT is common leg;
- ∠TCR≅∠TCB,
then by LA Theorem these two triangles are congruent (ΔBCT≅ΔRCT).
Congruent triangles have congruent corresponding sides:
- BC≅RC;
- CT≅CT;
- BT≅TR.
If BT turns out to be 75 yards, then TR=75 yards.
By the Pythagorean theorem,
If then distance from the spot to the rock is
Answer: RT=75 yards, yards.
