Answer:
30 X .8=24 30-24=6 bill got 6 questions wrong
Answer:
5.76 Radians
Step-by-step explanation:
Answer: ratio a:b = 3:5 p(X, 2) = p(9, 2)
<u>Step-by-step explanation:</u>
Plot points a = (12, 5) and b = (4, -3) and draw a line segment from a to b.
Notice that when y = 2, X = 9 so point p = (9, 2) <em>see graph</em>
The distance from a to p = 3√2
The distance from b to p = 5√2
So the ratio of a:b = 3√2:5√2 = 3:5 <em>when simplified</em>
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<em>To find the distance, use the distance formula OR pythagorean theorem.</em>
Answer:
See explanation below.
Step-by-step explanation:
A number bond shows what two parts add to make the number. The 1 in the bigger circle is equal to the two small circles each 1/2.
On the number line you have drawn from 0 to 1 a bar. This is the whole number. Divide the bar with one line exactly at the half.
This now shows that two bars or 1/2 + 1/2 becomes 1 big bar or 1. This shows the same relationship as the number bond.
<u>Question 1</u>
If we let
, then
.
Also, as
bisects
, this means
.
Thus, by the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,

However, as distance must be positive, we only consider the positive case, meaning CE=8