It would be 4 acres in 1 day because 9/9=1 and 36/9=4.
Answer: Supplementary angle
Q1
I like to use the standard form to write the equation of a perpendicular line, especially when the original equation is in that form. The perpendicular line will have the x- and y-coefficients swapped and one negated (remember this for Question 3). Thus, it will be
... 5x - 2y = 5(6) - 2(16) = -2
Solving for y (to get slope-intercept form), we find
... y = (5/2)x + 1 . . . . . matches selection C
Q2
The given equation has slope -3/6 = -1/2, so that will be the slope of the parallel line. (matches selection A)
Q3
See Q1 for an explanation. The appropriate choice is ...
... B. 4x - 3y = 5
Q4
The given line has slope -2, so you can eliminate all choices except ...
... D. -2x
Q5
The two lines have the same slope (3), but different intercepts, so they are ...
... A. parallel
X = 180 - 104 - 22 = 180 - 126 = 54 degrees
y = 180 - 54 = 126 degrees
z = 180 - 126 - 19 = 180 - 145 = 35 degrees
Here's how you can do that.
Explanation:
The problem tells you that the product of two consecutive odd integers is equal to
783
.
Right from the start, you know that you can get from the smaller number to the bigger number by adding
2
.
You need to add
2
because if you start with an odd number and add
1
, you end up with an even number, which is not supposed to happen here.
odd number
+
1
=
the consecutive even number
×
odd number
+
2
=
the consecutive odd number
√
So, if you take
x
to be the first number, you can say that
x
+
2
is the second number, which means that you have
x
⋅
(
x
+
2
)
=
783
