Answer:
8
10 divided by 5 is 2, and 2 cubed is 8
Answer:
7 = 49 ÷ r
Step-by-step explanation:
To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.
Multiples of 7:
7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...
Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:
7 = 49 ÷ r
To prove this, input r = 7 into each of the equations:
6 = 30 ÷ r
⇒ 6 = 30 ÷ 7
⇒ 6 ≠ 4.285... ← incorrect!
7 = 54 ÷ r
⇒ 7 = 54 ÷ 7
⇒ 7 ≠ 7.714... ← incorrect!
7 = 49 ÷ r
⇒ 7 = 49 ÷ 7
⇒ 7 = 7 ← correct!
9 = 72 ÷ r
⇒ 9 = 72 ÷ 7
⇒ 9 ≠ 10.285... ← incorrect!
Answer:
<em>x=-7</em>
<em>y=11</em>
Step-by-step explanation:
<u>Perpendicular Vectors</u>
Two vectors defined as their endpoints 
and 
are perpendicular if their dot product a.b is zero. The dot product is
In other words
ac+bd=0
Let's treat all the points as the extremes of vectors, so we can easily find the missing coordinates
B (3,5) and C (7,15) define a segment, the vector
The point A is A (x,9), we need to form a vector with B
this vector must be perpendicular to BC, so, applying the dot product we have
The point D is D(17,y), we need to form a vector with C
this vector must be perpendicular to BC, so, applying the dot product we have
The points are
Answer:
Distribution is used from steps 1-2
They eliminate 2x by subtracting it on both sides (steps 3-4)
They eliminated 6 by subtracting it from both sides (steps 5-6)
(steps 3-6 is eliminating like-terms)
Thus this leaves the answer being x=-3
Step-by-step explanation:
