If the ordered pair is a solution, then the two equations in the system should be true after we plug in the points, like so:
(3) + 3(1) = 6 and 4(3) - 5(1) = 7
Then you simplify. 3 + 3 = 6 and 12 - 5 = 7, therefore the ordered pair is a solution of the given system.
Answer:
The correct answer is the last option, that is,
112 + 25m + 45 = 50 + 60m
Step-by-step explanation:
We have been given that the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. Therefore, amount of money in the account of first running after m months will be: 112 + 45 + 25m
We have been given that the second runner has $50 in savings and will save $60 each month. Therefore, amount of money in the account of second running after m months will be: 50 + 60m
In order for amount of money to be equal in accounts of both the runners, we set up: 112 + 45 + 25m = 50 + 60m
Upon rewriting the left hand side using commutative law, we get:
112 + 25m + 45 = 50 + 60m
Therefore, we can see that the last option is the correct answer.
I hope this helped. I am sorry if you get this wrong.
Answer:
42 cm
Step-by-step explanation:
Area of rectangle (shaded area):
length × breadth
length: 7 cm
breadth: 7 - 2(0.5) = 6 cm
7 × 6 = 42 cm
Answer:
The coordinates of point B are (3,-2)
Step-by-step explanation:
we know that
The rule of the reflection of a point across the y-axis is given by
(x,y) -----> (-x,y)
so
Applying this rule to the point A(-3,-2)
A(-3,-2) --------> B(3,-2)
therefore
The coordinates of point B are (3,-2)
If you already know the length of a side, then you can simply write it down; in this case, the length of a side is 9 cm. If you don't know the length of a side but know the length of the perimeter or apothem (the height of one of the equilateral triangles formed by the hexagon, which is perpendicular to the side), you can still find the length of the side of the hexagon. Here's how you do it:
If you know the perimeter, then just divide it by 6 to get the length of one side. For example, if the length of the perimeter is 54 cm, then divide it by 6 to get 9 cm, the length of the side.
If you only know the apothem, you can find the length of a side by plugging the apothem into the formula a = x√3 and then multiplying the answer by two. This is because the apothem represents the x√3 side of the 30-60-90 triangle that it creates. If the apothem is 10√3, for example, then x is 10 and the length of a side is 10 * 2, or 20.
