Answer:

Step-by-step explanation:
In order to find r we have to square both sides of the equation

The *square root* sign cancels out the *squared* sign therefore:

Answer/Step-by-step explanation:
We are given the following coordinates of two points on the line of the graph shown in the question as: A(2, 1) and B(4, 2)
Vertical change from point A = 
Horizontal change from point A = 
Rate of change = 
9514 1404 393
Answer:
"three times a number is the same as twice the difference of the number and 1"
Step-by-step explanation:
3c is "three times a number"
2(c -1) is "two times the difference of the number and 1"
When writing the description of the right-hand side, one needs to be careful to write it so there is no ambiguity with respect to what is being multiplied by 2. For example, if you say, "two times one less than the number", it is not clear whether that is c -2×1 or 2×(c -1).
A suitable description is ...
three times a number is the same as twice the difference of the number and 1
Answer:
Step-by-step explanation:
Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get

⇒
⇒
⇒
⇒
Thus, the length of altitude is: 12 cm.
Now, 
⇒
⇒
Also, 
⇒
⇒
Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.
Answer:
Height of second tower = 17.32m
Step-by-step explanation:
I have attached a diagram depicting the question.
From the diagram, The first tower is depicted by side AEB and the second tower CD.
While d is the distance that separates the two towers and it's given as 15m.
Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.
Thus; using trigonometric ratios;
tan 60° = AB/AC.
This gives; AB = d*tan 60°
Similarly, for the triangle BED, BE = d*tan 30°
Since, AE = CD, thus ;
CD = AB − BE
CD = d (tan 60° − tan 30°)
CD = 15(1.7321 − 0.5774)
CD = 15 × 1.1547
CD ≈ 17.32 m.
So, height of second tower = 17.32 m