Answer:
The required equation is 
.
Step-by-step explanation:
The equation of line cd is
Slope intercept form of a line is
Where, m is slope and b is y-intercept.
Slope of line cd is 3.
The product of slopes of two perpendicular lines is -1.
Therefore slope of perpendicular line is 
.
Point slope form of a line is
Slope of perpendicular line is and line passing through the point (3,1).
Therefore the required equation is .
Answer:
a : c = 7 : 10
Step-by-step explanation:
The two ratios (a : b and b : c) both have b in common, so to work out what a : c is, we can use b to 'bridge' the two ratios together.
However, in a : b, b is 4. But in b : c, b is 2. We need to make sure b is the same in both ratios before we can combine the ratios together. The easiest way to do this is to multiply b : c by 2 to get b : c = 4 : 10. Now b is 4 in both ratios.
So now, we can combine the two ratios together to get a : b : c = 7 : 4 : 10. Since we only want a : c though, we can just drop the b and get a : c = 7 : 10. No simplifying is necessary since the ratio is already in its simplest form.
Hope that helps! :)
Answer:
Terms
Explanation:
Any expression is formed of terms separated by addition or subtraction.
A term can be a number, a variable or the product of multiplying a number and a variable.
Now, the given expression is:
a + 2b + 12c^2
This expression has three terms all separated by addition. These terms are:
a : which is only a variable
2b : which is the product of a number and a variable
12c^2 : which is the product of a number and a variable
Hope this helps :)
Answer:
a=10 b=30 c=20
Step-by-step explanation:
10+30=40 30+20=50 20+10=30
Use the are formula for a rectangle which is Length times Width to find the amount of square feet of carpeting.(16 times 14=224ft^2) Then you need multiply 224 by 12 because you have 224 square feet at $12 per square foot. So in the end it will cost $2688 to get the new carpet.
