Which numbers belong to the solution set of the inequality x/8 <-10
1 answer:
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Answer:
Step-by-step explanation:
A. The first inequality is graphed as a shaded area below the solid line with x-and y-intercepts of 7.5 and 5, respectively. The second inequality is graphed as a shaded area above the solid line with x- and y-intercepts of 3.
The solution set is the set of integer-valued grid points one or between the lines.
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B. The point (5, 1) is included in the solution area. Mathematically, it can be shown to satisfy the two inequalities:
2(5) +3(1) ≤ 15 ⇒ 13 ≤ 15 True
(5) +(1) ≥ 3 ⇒ 6 ≥ 3 True
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C. The point (5, 1) is in the solution set. It means Michael can purchase 5 sandwiches and 1 hot lunch within his budget constraints. That will provide 6 meals, which is more than the minimum of 3 that he wants to provide.
Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side. The height of the tringle is 24 units. Hence option 2 is the correct option.
<h3>Given information-</h3>The triangle for the given problem is shown in the image below.
Form the figure the length of the each side is units.
As all the sides are equal thus the is a equilateral triangle in which the height of the divides the triangle into two equal part of the length
at point <em>R.</em>
Height of the triangle is the altitude of the triangle and which is drawn perpendicular from the vertex of the triangle to the opposite side.
Now in the , the length of the hypotenuse is
units and the length of the base is
units. Let <em>h </em>is the height of the triangle thus by the Pythagoras theorem,
Solve for <em>h,</em>
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Thus the height of the tringle is 24 units. Hence option 2 is the correct option.
Learn more about the equilateral triangle here;
