(05.05) Which of the following inequalities matches the graph? (1 point)
1 answer:
Answer: Choice A.
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Explanation:
Every point in the shaded region has an x coordinate that is equal to -7 or smaller.
Example points include
- (-8, 0)
- (-10, 2)
- (-9, -5)
The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.
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This problem can be completed in 2 ways. Both are acceptable.
Option 1:
This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.
The area of one of the triangles is half the base times the height.
The other triangle must have that area too.
The area is 56 square centimeters.
Option 2:
We can use the area formula for the trapezoid.
Where
is the length of the shorter base
and
is the length of the longer base
and
is the height.
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.
Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.
Option 1:
This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.
The area of one of the triangles is half the base times the height.
The other triangle must have that area too.
The area is 56 square centimeters.
Option 2:
We can use the area formula for the trapezoid.
Where
and
and
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.
Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.
Step-by-step explanation:
This is a straight line equation. We only need two points to draw a straight line.
Choose two different numbers, put them into the equation instead of x, and calculate the value of y.
for x = 8
for x = -8
Mark the points in the coordinate system and draw a straight line through the given points.
<em>(look at the attachment)</em>
