Answer:
x=6, AT=45, MT=15, MA=45
Step-by-step explanation:
Because it is isosceles, MA=AT, so 8x-3=5x+15, solve for x and then plug it into the equations.
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant
where
a1 is the first term
d is the common difference between terms
n is the number of months (in this problem)
case a) Mandy
------> equation 
in this equation the first month is April
case b) Bill
-------> equation 
In this equation the first month is May
With the equation and the equation
calculate the attached table
therefore
the answer is
December
Answer:
232 square feet
Step-by-step explanation:
The outside dimensions of the yard are 26 ft by 36 ft, so its total area is ...
yard including walk = (26 ft)(36 ft) = 936 ft²
The dimensions of the yard inside the walkway are 22 ft by 32 ft, so that area is ...
yard not including walk = (22 ft)(32 ft) = 704 ft²
The difference in these areas is the area of the walkway:
walkway area = (yard including walk) - (yard not including walk)
= (936 -704) ft² = 232 ft² . . . . area of the walk
_____
Another way to figure this is to consider the length of the centerline of the walkway. That is the perimeter of a rectangle that is 24 ft by 34 ft. The perimeter (centerline length) is 116 ft, and the width of the walk is 2 ft, so its area is ...
(116 ft)(2 ft) = 232 ft²
Hey there!
To solve the first problem, I've found it easiest to solve the equation for, say, values –2 through +2 and create a table of values for you to begin graphing this function. You may need to do more depending on the equation itself.
Some points are: (–2, 0.75), (–1, 1.5), (0, 3), (1, 6) and (2, 12). You can check which graph matches up with these points the closest to get your answer of D.
To solve the second problem, you'll need to use the distance equation.
x1 = –4, y1 = 3
x2 = –1, y2 = 1
___________________
√ (x2–x1)^2 + (y2–y1)^2
_________________
√ (–1–(–4)^2 + (1–3)^2
_______________
√ (–1+4)^2 + (–2)^2
____________
√ (3)^2 + (–2)^2
_____
√ 9 + 4
___
√ 13, making your answer D
For your third question, I always just counted the number of units the point was from the line of reflection. You'll count twice diagonally towards the line from point C for this one, staying on the "crosshairs" of the graph. All you need to do then is count two diagonal units along the same line, then you'll get your answer of (2, 6), or D.
For your final question, A and B are immediately out, since they won't be parallel to the 4x equation. You'll need to solve both of your remaining equations for y with 2 plugged in for x; whichever one equals 7 will be your answer. In this case, it will be D.
Hope this helped you out! :-)
Just substitute the values: -1/-10-6 -> -1/-16 -> 1/16.
