Answer:
The system of inequalities is
Step-by-step explanation:
step 1
Find the equation of the dashed line with negative slope
The line passes through the points
(0,-2) and (-2,0)
Find the slope
Find the equation of the line in slope intercept form
we have
substitute
The solution of the inequality is the shaded area below the dashed line
therefore
The equation of the inequality A is
step 2
Find the equation of the dashed line with positive slope
The line passes through the points
(0,0) and (4,1)
Find the slope
Find the equation of the line (direct variation)
we have
substitute
The solution of the inequality is the shaded area above the dashed line
therefore
The equation of the inequality B is
therefore
The system of inequalities is
Answer:
<h2>360 cakes</h2>
Step-by-step explanation:
<h2>soln:</h2><h2>onecake =240\8=30</h2><h2>then 12 cakes =30×12=360</h2>
The area of a circle in terms of the circle's radius
is
Differentiating both sides with respect to
, you get
Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
__
<h3>Pythagorean theorem</h3>
The relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
<h3>application</h3>
In this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.
