Answer:
(-1,-6)
Step-by-step explanation:
(Replaced x in f with (x-2))
(Used 
and distributive property)
(Gathered like terms)
(Simplified)
The vertex of a parabola occurs at 
.
Let's find 
first.
Now we can obtain 
which is 
in this case:
.
The vertex is (-1,-6).
Answer:
Step-by-step explanation:
- 2 log₅ x = log₅ 4
- 2 log₅ x = log₅ 2²
- 2 log₅ x = 2 log₅ 2
- log₅ x = log₅ 2
- x = 2
The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80
Let the coldest temperature in Alaska be x
The coldest temperature recorded in Alaska was –80°F
x = –80°F
Let the coldest temperature in Siberia be y
The coldest temperature recorded in Alaska was 10°F warmer than the coldest temperature recorded in Siberia
This can be interpreted as:
Coldest temperature in Alaska = Coldest temperature in Siberia + 10
x = y + 10................(*)
Since x = -80
Substitute x = -80 into equation (*)
-80 = y + 10
This can be re-written as:
y + 10 = -80
The equation that can be used to find the coldest temperature recorded in Siberia is y + 10 = -80
Learn more here: brainly.com/question/2159099
Answer:
y = - 6x - 57
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 6, thus
y = - 6x + c ← is the partial equation
To find c substitute (- 9, - 3) into the partial equation
- 3 = 54 + c ⇒ c = - 3 - 54 = - 57
y = - 6x - 57 ← equation of line
Answer:
The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
