Answer:
y = 1/4 x - 12.5
Step-by-step explanation:
8x + 2y = -8 (rewrite in y = mx + b form)
2y = -8x -8 (divide both sides by 2)
y = -4x -2 for first line
Perpendicular line L has "opposite/inverse" slope
y = -4x + b becomes y = 1/4 x + b
What's b (the y-intercept)?
Plug the point (2, -12) into the equation y = 1/4 x + b to solve for b
-12 = 1/4 (2) + b
-12 = 1/2 + b (subtract 1/2 from both sides)
-12.5 =b (rewrite equation)
y = 1/4 x - 12.5
4.9, 5.7, 6.0, 5.3, 4.8, 4.9, 5.3, 4.7, 4.9, 5.6, 5.1<br>
whats the mean
erastova [34]
<span>4.9+5.7+6.0+5.3+4.8+4.9+5.3+4.7+4.9+5.6+5.1=57.2
</span>57.2/11=5.2
1. You have the following equations:
<span>
y=−2x+5 (i)
3x−4y=2 (ii)
2. You must substitute the equation (i) into the equation (ii), as below:
</span>3x−4y=2
3x-4(−2x+5)=2
3x+8x-20=2
11x-20=2
3. Now, you must clear the variable "x":
11x=2+20
x=22/11
x=2
4. You have the value of "x", so you can find the value of "y". When you substitute x=2 into the equation (i), you obtain:
y=−2x+5
y=-2(2)+5
y=-4+5
y=1
5. Therefore, the answer is:
x=2
y=1
Given:
The figure of a triangle LMN.
P is the centroid of triangle LMN.
To find:
14. Find the value of PN if QN=30.
15. Find the value of PN if QN=9.
Solution:
We know that the centroid in the intersection of medians of a triangle and centroid divides each median in 2:1.
Since P is the centroid it means NQ is the median from vertex N. It means P divides the median NQ in 2:1. So, PN:PQ=2:1.
14. We have QN=30.
Therefore, the value of PN is 20 when QN=30.
15. We have QN=9.
Therefore, the value of PN is 6 when QN=9.
Answer:
C
Step-by-step explanation:
The diameter is about three times smaller than the circumference. So by trial and improvement, we can see that 24.5 would be the correct answer.
I could be wrong
