You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (–12, 8), so you try a likely looking spot 3 yards to the east and 11 yards to the south of the first spot. What are the coordinates of the second spot? also type out the answers in WORDS and not letters
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You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive, and coordinates to the south or west are negative. You find nothing at (–12, 8), so you try a likely looking spot 3 yards to the east and 11 yards to the south of the first spot. What are the coordinates of the second spot
The second spot's coordinates are (-9, -3) in yards.
To get these coordinates, you need to start with the first spot's coordinates (-12, 8). Then, you need to move 3 yards to the east (to increase the x-coordinate) and 11 yards to the south (to decrease the y-coordinate), which results in (-12 + 3, 8 - 11) = (-9, -3).
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5x+2=62
the tempature stayed abbove -15 degrees, write an ineqaulity
The inequality for the given statement would be:
Temperature > -15
Solve the inequality and describe the solution set.
y
–
6
≥
12
The given inequality is:
y/6 ≥ 12
To solve for y, we can isolate y by multiplying both sides by 6:
y ≥ 6 * 12
y ≥ 72
The solution set for this inequality is all the values of y that are greater than or equal to 72. We can represent this solution set using interval notation as [72, ∞) or in set builder notation as {y | y ≥ 72}. This means any value of y greater than or equal to 72 would make the inequality true.
Gabriella went skiing. She paid $35 to rent skis and $15 an hour to ski. If she paid a total of $95, how many hours did she ski? Write an algebraic equation to represent the situation and solve it.
Let's let x be the number of hours Gabriella skied. Then the total cost she paid is given by:
Total cost = Cost of renting skis + (Cost of skiing per hour * Number of hours skied)
or
$95 = $35 + ($15 * x)
We can simplify this equation and solve for x:
$95 - $35 = $15x
$60 = $15x
x = 4
Therefore, Gabriella skied for 4 hours.
Solve the equation.
c
4
−
5
=
4
The given equation is:
c/4 - 5 = 4
To solve for c, we'll isolate the variable term by following these steps:
Add 5 to both sides:
c/4 = 9
Multiply both sides by 4:
c = 36
Therefore, the solution to the given equation is c = 36.