Slope = rise/run = (change in y)/(change in x)
Slope = (4-6)/(0-(-4)) = (-2)/(4)
Slope = -1/2 = -0.5
Answer:
yes
Step-by-step explanation:
each input is put with only one output therefore it is a function
Answer:
Step-by-step explanation:
Given:
AB ≅ BC
AK ≅ KC
∠AKE ≅ ∠CKP
To Prove:
ΔAKE ≅ ΔCKP
Statements Reasons
1). AB ≅ BC 1). Given
2). ∠BAC ≅ ∠BCA 2). Property of Isosceles triangles
3). ∠EKA ≅ ∠PKC 3). Given
4). ΔAKE ≅ ΔCKP 4). ASA Postulate of congruence
Hence ΔAKE ≅ ΔCKP.

We need to get the equation in square form
We apply completing the square method

Divide all the terms by 5

Group x terms and y terms separately

By completing the square method, we take half of coefficient of x and square it

square it 
Add 1 on both sides


square it 
Add 4 on both sides

Add 6 on both sides

Now factor both parenthesis

The equation of the circle is 
The whole angle is 90 degrees and you have 45 so 90-45 = your answer :)