Answer:
×7
Step-by-step explanation:
A garden table and a bench cost $709 combined. The garden table costs $59 more than the bench. What is the cost of the bench?
1 answer:
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Answer:
I have attached a graph of such a system. The two lines have the same slopes but different y-intercepts, this means the lines are parallel, and therefore the system of equations that they represent has no solutions because the lines never intersect.
Going into your next question, there are three ways the system of equations can be classified: <em>the ones that have a solution, with infinitely many solutions, with no solutions.</em>
The graphs of the system of equations that have a solution intersect exactly at one point.
The graphs of the system of equations that have infinitely many solutions are mapped onto each other (are on top of each-other), and therefore have infinite points of intersection.
The graphs of the system of equations that have no solutions never intersect; these are represented by lines that are parallel.
<u>Hope this helps!</u>
Answer:
60°
Step-by-step explanation:
A tangent, together with a radius to the tangent point and segment OA, forms a right triangle with hypotenuse 9 and opposite side 4.5. SOH CAH TOA reminds you that the sine of an agle is the ratio of the opposite side to the hypotenuse of the right triangle.
Thus half the angle at A is the angle whose sine is 4.5/9 = 1/2. That angle is 30°, so the entire angle between the tangents at A is 2·30° = 60°.
