<span>Perpendicular lines' slopes are reciprocals of one another. So we know the perpendicular line will have a slope of 1/2. Then we can use our points to find the rest.
8=1/2(1)+b
8=0.5+b
7.5=b
y=2x+b</span>
First find the common denominator. It would be 24. For 8 to get to 24 you have to multiply it by 3. So 8*3=24 and 5*3=15. For 6 to get to 24 you have to multiply it by 4. So 6*4=24 and 1*4=4. Our fractions are now at 15/24 and 4/24. 15+4 is 19 and 15-4 is 11. Your answers are 19/24 and 11/24.
Answer:
Option d (convenience sample) is the right solution.
Step-by-step explanation:
- An unlikely sample wherein the investigator chooses such individuals closest and therefore most approachable for the particular investigation, would be termed as a Convenience sample.
- It's a way to gather information or data with the use of sampling advantageously positioned around a place or broadband internet.
All other alternatives aren't related to the given scenario. So the above option is correct.
Answer:
114 units²
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, so
AB = CD , that is
13x - 7 = 5x + 9 ( subtract 5x from both sides )
8x - 7 = 9 ( add 7 to both sides )
8x = 16 ( divide both sides by 8 )
x = 2
Then
5x + 9 = 5(2) + 9 = 10 + 9 = 19
3x = 3(2) = 6
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height ), thus
A = 19 × 6 = 114 units²
<h3>
Answer: perimeter = 10+2x+xy</h3>
To get the perimeter, you add up all the outer sides
side1+side2+side3 = (5+x)+(5+x)+(xy) = 10+2x+xy
The like terms 5 and 5 add to 10. The other pair of like terms x and x add to 2x. There isn't anything to pair with xy, so we leave it as is.