Given:
Line a is perpendicular to line b
.
Line a passes through the points (1,-8) and (9,-12)
.
Line b passes through the point (-8, -16).
To find:
The equation of b.
Solution:
Line a passes through the points (1,-8) and (9,-12)
. So, slope of line a is
Product of slopes of two perpendicular lines is -1.
Slope of line b is 2.
If a line passing through a point 
with slope m, then equation of line is
Line b passing through (-8,-16) with slope 2. So, equation of line b is
Subtract 16 from both sides.
Therefore, the equation of line b is .
Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
This is simply what I wrote for my assignment, sorry I am a bit late.
<em>It was confusing when she took out the negative and postive pairs, but then I soon knew that the negative tiles are like subtracting positive tiles. Then once she got the total I was amazed with how easy it was to find out the value of x.</em>
hope this helps! <3
Answer:
Diameter 16, radius 7, circumference 37.68, diameter 8
Step-by-step explanation:
Largest area will be in a circle with the largest radius. So let's find all radii.
d = 8, so r = 4;
r = 7;
circumference = 2pi*r = 37. 68, so r = 6
diameter 18, so r = 8
