If the slope is undefined, then your line is a vertical line since vertical lines can have no slope (they don't have any lateral movement). Because it must pass through (- 8, 0), x must = - 8.
Your equation is x = - 8
Answer:
Yumiko should multiply the other equation by 3.
If she adds the two equations she would be left with the variable 'x'.
Step-by-step explanation:
Given the two equations are as follows:
It is given that she multiplies the first equation by 6. Therefore, (1) becomes
Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.
The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.
Therefore, Equation (2) becomes:
Now, we add Equation (a) and Equation (b).
Factor: 3
Equation: 27x = 126
1.) 11 - 3 4/12
2.) 11 - 3 1/3
3.) 11/1 - 3 1/3
4.) 33/3 - 10/3
5.) 23/3 or 7.7 or 7 2/3 is your answer, depending on how you want it
Answer:
13 cups
Step-by-step explanation:
1.5 pint= 3 cups
8 fluid ounces = 1 cup
4 bottles of milk with 1.5 pint each= 3x 4= 12 cup
8 fluid ounces of strawberry syrup= 1 cup
12+1=13 cups
Answer:
4 : 9
Step-by-step explanation:
The requested ratio is ...
tile length : board length = (2/3 ft) : (1/2 yd) = (8 in) : (18 in)
= 8 : 18 = 4 : 9
_____
To make a unitless ratio, both parts must have the same units. Here, we chose to express the lengths in inches. We could have used feet or yards as well. (2/3 ft)×(1 yard)/(3 ft) = 2/9 yd or (1/2 yd)(3 ft/yd) = 3/2 ft. You get the same ratio with any of these:
(2/9 yd) : (1/2 yd) = (4 yd) : (9 yd) = 4 : 9 . . . . . multiply by 18
(2/3 ft) : (3/2 ft) = (4 ft) : (9 ft) = 4 : 9 . . . . . multiply by 6
