Base on graph x > -3
so if you multiply both sides by 2 then: 2x > - 6
answer
D. x > - 3; 2x > -6
Answer:
After 460 calls plan 1 is more economical than plan 2
Step-by-step explanation:
Plan 1: 36x + 0y
Plan 2: 13x + 0.05y
36x < 13x + 0.05y
36x - 13x < 0.05y
23x < 0.05y
23/0.05x < y
460x < y
Answer:
c) 4
Step-by-step explanation:
4x +2 - 7 = x + 7
4x - x = 7 -2 + 7
3x = 12
x = 4
I prefer to use a midpoint formula that deals with both coordinates at once. For points A and B, their midpoint (M) is
... M = (A + B)/2
We can solve this for B by multiplying by 2 and subtracing A.
... 2M = A + B
... 2M - A = B
For your midpoint M(0, -10) and your endpoint A(-4, -5), the other endpoint will be
... B = 2(0, -10) - (-4, -5) = (2·0 -(-4), 2·(-10) -(-5))
... = (4, -15)
Refer to the figure shown below.
We shall review each of the three given measurements and decide what type of triangle we have.
Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².
Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
c² = 7² = 49
Answer:
This is an acute triangle, because c² < a² + b².
Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
a² + b² = 8² + 9² = 64 + 81 = 145
c² = 12² = 144
Answer:
This is an acute triangle because c² < a² + b².