Answer:
Step-by-step explanation:
The student used the wrong property of equality.
When you undo a number to get a letter by itself, you should do the opposite operation of the number said. The student subtracted 15 from 22 instead of adding 15 to 22.
Use the addition property of equality to isolate w.
Answer:
The end of the stencil is located at (8, -1)
Step-by-step explanation:
The given parameters are;
Location of the beginning of the left edge of the stencil = (-1, 2)
Location of the detail = (2, 1)
Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2
Distance from beginning to detail = √((-1 - 2)² + (2 - 1)²) = √10
Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;
√10:Length of stencil side = 1:2
Distance from detail to stencil end = 2×√10
Which gives;
Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°
x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8
y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1
The coordinates of the end of the stencil = (8, -1)
If price of laptop=x
Let number of months required to save the necessary amount be y
5*2^y=x
2^y=x/5
y=log2 x/5
The <span>Triangle Inequality Theorem establishes that the length of the triangle is shorter than the sum of the two lenghts of the others two sides. Then, you have:
a=6 (the lenght of a side of the triangle).
b=13 (t</span>he lenght of a side of the triangle).<span>
c=x (the length of the third side).
Therefore:
c<a+b
c<6+13
c<19
The lenght of the third side is:
(13-6)<c<19
7<c<9</span>
