CDE is the line segment, in which CE = 17.1, and DE = 8
Subtract 8 from 17.1
17.1 - 8 = 9.1
CD = 9.1
hope this helps
Step-by-step explanation:
the vertex is the point, where the parabola turns around. it is (depending on its orientation, if it is opening upwards or downwards) the maximum or the minimum of the curve.
so, as we can see on the grid, that point is x = -3, y = +1 = (-3, 1).
so, B is correct
Answer:
120
Step-by-step explanation:
As x goes from 1 to 2, y increases by 4 from 4 to 8
As x goes from 2 to 3, y increases by 4 from 8 to 12
We increase by 4 each time
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term which is 4
d is the common difference or the number we add each time which is 4
n is the term we are looking for which is 30
a30 = 4 +4 (30-1)
a30 = 4+4(29)
= 4+116
= 120
Use the distance formula to determine the distance between the two points.<span><span>Distance=<span>√<span><span><span>(<span><span>x2</span><span>−<span>x1</span></span></span>)</span>2</span>+<span><span>(<span><span>y2</span><span>−<span>y1</span></span></span>)</span>2</span></span></span></span><span>Distance=<span><span><span><span>x2</span><span>-<span>x1</span></span></span>2</span>+<span><span><span>y2</span><span>-<span>y1</span></span></span>2</span></span></span></span>Substitute the actual values of the points into the distance formula.<span>√<span><span><span>(<span><span>(1)</span><span>−<span>(9)</span></span></span>)</span>2</span>+<span><span>(<span><span>(1)</span><span>−<span>(7)</span></span></span>)</span><span>2
</span></span></span></span>10 i think is the answer
