Answer:
y = 1/7x + 88/7
Step-by-step explanation:
y = mx +b
since it is perpendicular you have to get the negative reciprocal of the slope which is 1/7
y = 1/7x + b then you would plug in your points
12 = 1/7(-4) + b and then solve for b
12 = -4/7 + b
+ 4/7
88/7 = b
y = 1/7x + 88/7
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
Answer:
The initial value is 900
It is experiencing exponential growth by 27%
Step-by-step explanation:
Exponential functions are in the form 
, where a is the initial value, b is the multiplier, and x is the input, such as how many years past a certain date.
Exponential growth is when the multiplier is above 1.00, or above 100%, because b is determined by 1 + r if you have exponential growth, or 1 - r if you have exponential decay. You will never use negatives with exponential decay.
The length of the rectangle is 16.
Answer:
Note that with embedded parentheses (parentheses within parenthesis), you always perform operations inside out; do the math on the inside before the outside. Note that if you have an absolute value | | sign which means take the positive value only of a number inside.
