we have
6x+3y=12 -----> line p
Find the slope
3y=-6x+12
y=-2x+4
m=-2
-4x=2y-2 -----> line Q
2y=-4x+2
y=-2x+1
m=-2
therefore
the lines are parallel because their slopes are equal
Answer:
He has 4 10/12 wire left
Step-by-step explanation:
Answers:
x = 2√2 units
y = 2√6 units
Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.
1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units
2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units
Hope this helps :)
The teacher will use 3 rolls only to have perfect measurements.
1 yard = 3 feet
4 large bulletin boards are there each needing 9 yards of border.
That means 4 large bulletin boards in total need
9×4 yards of border
= 36 yards of border
= 108 feet of border
Also, there is a small bulletin board that only needs 12 feet border
Hence, in total there is a need for
108 + 12 = 120 feet border.
The border is sold in 40-foot rolls.
Hence, there is a need for 120/40 rolls
i.e. 3 rolls
Hence, the teacher will use 3 rolls only.
Learn more about measurements here-
brainly.com/question/15658113
#SPJ10
Answer:
C. 194
Step-by-step explanation:
An integer can be a positive or negative whole number, but not a decimal. If this number is an integer, then it is also a rational number. So, 194 fits this description.
Maybe this image can help you.
