Answer: 
Step-by-step explanation:
Given
area of the rectangle is 
Suppose width is given by w
So, length is 
The area of a rectangle is 
putting values
length is 
Answer:
- A. Slope = -2, y-intercept = 2/3
Step-by-step explanation:
<u>Convert the given equation into slope-intercept form:</u>
- 3(y - 2) + 6(x + 1) - 2 = 0
- 3y - 6 + 6x + 6 - 2 = 0
- 3y + 6x - 2 = 0
- 3y = - 6x + 2
- y = - 2x + 2/3
The slope is -2, the y-intercept is 2/3
Correct choice is A
<h3>
Answer is the ratio 1000:193:61</h3>
Explanation
1 liter = 1000 mL
For every 1000 mL of water, we need 193 mL of sucrose and 61 mL of saline solution.
The ratio is therefore 1000:193:61
We cannot simplify this ratio any further because the GCF of those three terms is 1.
A quick way to see this is to look at how 1000 = (2*5)^3 has prime factors 2 and 5, but 2 nor 5 are factors of 193 and 61. So only 1 is a factor of all three values 1000, 193, 61
Answer is
2
gradient=change in y/change in X
(10--2)/(4--2)=2
Answer:
D No, the integer with the larger absolute value always determines the sign of the sum.
Step-by-step explanation:
Suppose the integer you start with is +3. Adding -1 or -2 or -3 to that will result in 2, 1, or 0, none of which are negative. Only when you add a negative number with an absolute value greater than 3 will you get a sum that is negative. That is, <em>the number in the sum that has the largest absolute value determines the sign of the result</em>. (This is most important when the signs differ, but it is also true when the signs are the same.)
