Formula for area of rectangle:
A=L x w
Here A=85 square ft
Length, L=w+12
Put values in formula.
85=(w+12)w
85=w^2+12w
Subtract 85 from both sides
w^2+12w-85=0
Factorise the equation.
(w-5)(w+17)=0
w=5 and w=-17
Ignore the negative value of width.
Width, w= 5 ft and Length, L=12+5=17 ft
Answer: Width=5 ft and Length=17 ft
Answer:
4/5 cups to make 1 pound of dog treats
Step-by-step explanation:
3/4 cups : 1 1/4 pounds
x cups : 1 pound
Cross multiply
3/4 * 1 = 1 1/4 * x
x = 3/4 / 1 1/4
= 3/4 / 5/4
= 3/4 * 4/5
= 3/5 cups
x equals to 25 and y equals to 10.
Answer:
The domain is all real numbers (see the explanation)
Step-by-step explanation:
we have

This is a vertical parabola open upward (the leading coefficient is positive)
The vertex represent a minimum
The vertex is the point (-5,-5)
we know that
The domain of a function is the set of all possible values of x
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
In this problem
The domain is the interval (-∞,∞)
The domain is all real numbers
The range is the interval [-5,∞)
All real numbers greater than or equal to -5
Answer:
Equation of the straight line in point-slope form
y -(-7) =
(x-8)
Equation of the straight line
3x +4y +4=0
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the point ( 8,-7) and 
Equation of the straight line passing through the point (x₁, y₁) and having slope 'm'
y - y₁ = m (x-x₁)
y -(-7) =
(x-8)
4( y+7) = -3(x-8)
4y +28 = -3x +24
3x +4y +28 -24 =0
3x +4y +4=0