A system of two linear inequalities is graphed as shown, where the solution region is shaded. Complete the sentences below by de
1 answer:
All the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
<h3>What is a graph?</h3>A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When we plot all the points on the graph we can see that all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) are located in the solution region.
Therefore all the points The point (-3.2), The point (-7.5), Point (2.-5), and The point (-14,6) is located in the solution region.
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Answer:
See explanation
Step-by-step explanation:
Let x be the number of hours per week Nando is brisk walking and y be the number of hours per week Nando is biking at a moderate pace.
For the first month, he needs to exercise at most five hours per week, then
Brisk walking burns about 350 calories per hour, then it burns 350x calories per x hours.
Biking at a moderate pace burns about 700 calories per hour, then it burns 700y calories per y hours.
Nando must burn at least 2,000 calories per week, so
You get the system of two inequalities:
The attached graph shows the solution set to this system of inequalities. In this diagram, red region represents the solution set to the first inequality, blue region represents the solution set to the second inequality and their intersection is the solution set to the system of two inequalities.
Answer:
Step-by-step explanation:
Drop a height directly through the middle of the triangle, intersecting the base at a 90 degree angle. We form two right triangles and can use the Pythagorean theorem to solve for the hypotenuse.
The Pythagorean theorem states that for any right triangle, the following is true:
, where
and
are two legs of the triangle and
is the hypotenuse.
Therefore, we have the following equation (using the graph to measure the length of the two legs):
The other "tilted" side must be the same length. The base of the triangle can be measured using the graph - 10 units.
Therefore, the perimeter is