Point slope is y-y1=m(x-x1)
Keep y and x as they are (do not plug anything in for those).
Variable m is the slope.
x1 and y1 are part of the point, which is in (x, y) form.
With the information given, plug each into the equation.
m= 2 (It's the slope)
x1=-8
y1=5
Put these variables into the equation like this-
y-5=2(x--8)
The two negatives cancel out (between x and 8) so your final answer is-
y-5=2(x+8)
f(x) = (x + 5)(x - 1)
using the ' factor theorem '
given x = a is the root of a polynomial then (x - a ) is a factor
here roots are x = - 5 and x = 1 hence factors are (x + 5) and (x - 1)
the polynomial is the product of the factors
f(x) = (x + 5)(x - 1)
Answer:
4.5
Step-by-step explanation:
Answer: the length of one side of the bedroom is 24 feet.
the length of one side of the closet is 3 feet
Step-by-step explanation:
Let x represent the length of one side of the bedroom.
Let y represent the length of one side of the closet.
The sides of the bedroom were 8
times as large as the sides of the closet. This means that
x = 8y
the sum of the areas of the two was
585 square feet. The area of the room is x^2 and the area of the closet is y^2. Therefore,
x^2 + y^2 = 585 - - - -- - - -1
Substituting x = 8y into equation 1, it becomes
(8y)^2 + y^2 = 585
64y^2 + y^2 = 585
65y^2 = 585
y^2 = 585/65 = 9
Take square root of both sides of the equation,
y = √9 = 3
x = 8y = 8×3 = 24
