Answer:
Step-by-step explanation:
- Angle-angle-side
- since they have two similar angles and one common side
Answer: A:16 square meters.
Step-by-step explanation:
Multiplecation and subtraction
B: 16 divided by 0.5= 32, so its 32 gallons
Hope it helps!
The graph of f(x) has a slope of 1/1 and a y intercept of -6. To graph, place a point at (0,_6). Then move up 1 and over 1. This will give another point at (1,-5). Draw a line through the points.
The graph of g(x) has a slope of 1/1 and a y intercept of 6. To graph, place a point at (0,6). Then move up 1 and over 1. This will give another point at (1,7). Draw a line through the points
lines are parallel since slopes are the same.
h(x) = x-6+x+6= 2x or 2x+0. This line has a slope of 2/1 and a y intercept of 0. To graph, place a point at (0,0). Then move up 2 and over 1. This will give another point at (1,2). Draw a line through the points.
Answer:
2.5 times faster
Step-by-step explanation:
The cost per hour of method 1 is $25, while the cost per hour of method 2 is $10. In order for method 1 to be the better method, it must have a productivity, in units per dollar, that is equal or greater than the productivity of method 2:
![A\frac{units}{hour} *\frac{hour}{\$25} \geq B\frac{units}{hour} *\frac{hour}{\$10}\\0.04A\geq 0.1B\\A \geq 2.5 B](https://tex.z-dn.net/?f=A%5Cfrac%7Bunits%7D%7Bhour%7D%20%2A%5Cfrac%7Bhour%7D%7B%5C%2425%7D%20%5Cgeq%20B%5Cfrac%7Bunits%7D%7Bhour%7D%20%2A%5Cfrac%7Bhour%7D%7B%5C%2410%7D%5C%5C0.04A%5Cgeq%200.1B%5C%5CA%20%5Cgeq%202.5%20B)
The productivity A of method 1, in units per hour, must be 2.5 times greater than the productivity of method 2, which means that method 1 needs to be 2.5 times faster than method (2) to be the better method.
Answer:
Step-by-step explanation:
Complete the square
+ 2x - 13 = 0
+ 2x = 13
+ 2x +
= 13 +1 (take 1/2 of the b term , the 2 )
+ 2x + 1 = 14
(x +1)^2 = 14