Answer:
Slope = 7/4
Step-by-step explanation:
You are given coordinate values and a formula that tells you what to do with them. All you need to do is put the values in the formula and do the arithmetic.
<h3>Points</h3>
You are given points (2, -3) and (6, 4). The slope formula refers to the two points as (x1, y1) and (x2, y2). It does not matter which is which.
If we use the points in the same order they are given, then we can see that ...
- x1 = 2
- y1 = -3
- x2 = 6
- y2 = 4
<h3>Formula</h3>
Using these values in the given formula, we find the slope to be ...

The slope of the line through the given points is 7/4.
Answer:
10π
Step-by-step explanation:
RULE: The angle measure of the central angle is congruent to the measure of the intercepted arc.
RULE: Central Angle = Arc length
Given:
Arc length (20 π) = central angle (180)
we know 180 degrees is a straight line, thus a semi-circle is created. This would be the diameter.
1/2 diameter is the radius. 20π/2 is the radius.
10π
Answer:
-16
Step-by-step explanation:
k = 3
-2(3) + 5 = -1
k = 4
-2(4) + 5 = -3
k = 5
-2(5) + 5 = -5
k = 6
-2(6) + 5 = -7
(-1) + (-3) + (-5) + (-7)
= -16
Answer:
The Proof with Figure, Statement and Reasons is given below.
Step-by-step explanation:
Given:
∠DAF ≅ ∠EBF,
DF ≅ FE
Prove:
Δ ADF ≅ Δ BFE
Proof:
Statements Reasons
a. ∠DAF ≅ ∠EBF ...........................Given
<u>48. ∠DFA ≅ ∠EFB </u>..........................Vertical Angles are congruent
DF ≅ FE ..........................<u>.49. Given</u>
50.<u> Δ ADF ≅ Δ BFE </u>.......................<u>..By Angle-Angle-Side test</u>