(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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The height of the trapezoid is 10 inches.
Answer:
The coordinates of the solution that lies in quadrant IV are (2, -5)
Step-by-step explanation:
We have 2 equations, the first of an ellipse and the second of a circumference.
To solve the system solve the second equation for x and then substitute in the first equation
So Substituting in the first equation we have
Now we must factor the quadratic expression.
We look for two numbers that multiply as a result -5 and add them as result 4.
These numbers are -1 and 5.
Then the factors are
Therefore the system solutions are:
;
In the 4th quadrant the values of x are positive and the values of y are negative.
So we take the negative value of y and substitute it into the system equation to find x
, and
In the 4th quadrant the values of x are positive
So we take the positive value of x
<em><u>the coordinates of the solution that lies in quadrant IV are (2, -5)</u></em>
Answer:6km
Step-by-step explanation:
Given
when Alice finishes the race Becky is 8km From finishing line
and caitlin 12 km from finishing line.
Suppose t is the time require by Alice to finish the race
and be the velocity of alice ,becky and caitlin
thus
thus
say t' is time required by beckey to complete 8 km thus
therefore for Caitlin
Thus caitlin will cover a distance of 6 km in t' time and 6 km away from finishing.