Answer:
5
Step-by-step explanation:
The value of <em>y</em> is five times the value of <em>x</em>. In symbols, this relationship is
Compare this with the slope-intercept form of the equation of a line.
where <em>m</em> is the slope and <em>b</em> is the <em>y</em>-intercept.
The value of <em>m</em> is 5. The slope is 5.
Call the smaller of the two odds = n
Call the next number in the sequence = n + 2
n*(n +2) = 782 Remove the brackets.
n^2 + 2n = 782 Subract 782 from both sides.
n^2 + 2n - 782 = 0 We are going to have to factor this.
Discussion
This problem can't be done the way it is written. The product of an odd integer with another odd integer is and odd integer. There are no exceptions to this. So you need to give a number that has two factors very near it's square root for this question to work.
For example, you could use 783, (which factors) instead of 782 .
Solve
n^2 + 2n - 783 = 0
(n + 29)(x - 27) = 0
<u>Solution One</u>
n - 27 = 0
n = 27
The two odd consecutive integers are 27 and 29.
<u>Solution Two</u>
n + 29 = 0
n = - 29
The two solution integers are -29 and - 27 Notice that - 29 is smaller than - 27.
Answer:
Total length after 33 days will be 117 miles
Step-by-step explanation:
A construction crew is lengthening a road. The road started with a length of 51 miles.
Average addition of the road is = 2 miles per day
Let the number of days crew has worked are D and length of the road is L, then length of the road can represented by the equation
L = 2D + 51
If the number of days worked by the crew is = 33 days
Then total length of the road will be L = 2×33 + 51
L = 66 + 51
L = 117 miles
Total length of the road after 33 days of the construction will be 117 miles.
The answer to this is Hexagon.
Your slope is 6/4. I found this by locating two points where the line intercepts evenly at two points. One was on the y-axis(0,-3) and the other was at (5,3). I then calculated the slope- rise over run or y over x. Because this graphs in a straight line, it is a linear equation. Your equation formula is y = mx + b. M is your slope, and b is your y-intercept. y = 6/4x -3
