The vertex form:

(h,k) - the coordinates of the vertex

The coordinates of the vertex are
(-4,13).
Answer:
From given relation the value of β is 37.5°
Step-by-step explanation:
Given as :
α and β are two acute angles of right triangle
Acute angle have measure less than 90°
Now given as :
= 
Or,
= 
SO,
= 
Or, 90° =
+ 
or, 90° =
+ 4x
Or, 90° = 
So, x =
= 15°
∴
= 
So,
= sin
∴ The value of Ф_1 =
= 37.5°
Similarly
= 
So ,The value of Ф_2 =
= 52.5°
∵ β
α
So, As 37.5°
52.5°
∴ β = 37.5°
Hence From given relation the value of β is 37.5° Answer
Answer:
B is the answer on edge
Step-by-step explanation:
Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
let us take any two points here (5,20) and (7,30)
now let us use slope formula to get its slope


slope =5
now let us use one coordinate (say (5,20)) and slope to get the y intercept
20= 5*5 +b
b=-5
plugging the values of b and m in the given equation we get
y=5x-5
or c=5m-5