Answer:
<h2>
AC = 36.01</h2>
Step-by-step explanation:
Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.
From ΔADB, AB² = AD²+BD²
Given AB = 24 and AD = 16
BD² = AB² - AD²
BD² = 24²-16²
BD² = 576-256
BD² = 320
BD = 
BD = 17.9
from ΔABC, AC² = AB²+BC²
SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;
(AD+DC)² = AB²+ (BD² + DC²)
Given AD = 16, AB = 24 and BD = 17.9, on substituting
(16+DC)² = 24²+17.9²+ DC²
256+32DC+DC² = 24²+17.9²+ DC²
256+32DC = 24²+17.9²
32DC = 24²+17.9² - 256
32DC = 640.41
DC = 
DC = 20.01
Remember that AC = AD+DC
AC = 16+20.01
AC = 36.01
Answer:
Part 1)
Henry's location is at the ordered pair 
Libray's location is at the ordered pair 
Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Step-by-step explanation:
Part 1) Write the ordered pairs that represent Henry and the Library
we have that
Henry's location is at the ordered pair
Libray's location is at the ordered pair
Part 2) Describe Henry's location relative to the library
Observing the graph
Henry is 5 city blocks at the left of the library and 7 city blocks up of the library
Answer:
UNDEFINED
Step-by-step explanation:
change in y over the change in x is how you'd find slope, however, x is the same in both of these, making this a limitation not an equation, therefore the slope is undefined 18-18 = 0 -> Anything divided by zero as a slope is undefined.
Answer:
Samantha's age = 27 years
Step-by-step explanation:
As Samantha is one year less than twice her brother Jack’s age.
As the sum of their ages is 41.
Thus, the equation become
x+2x-1 = 41
3x-1 = 41
3x = 42
Dividing both sides by 3
x = 14
It indicates that Jack's age = 14 years
Therefore,
Samantha's age = 2x-1 = 2(14)-1 = 27 years
Answer:
A) Yes, m=-3 and b = -3
Step-by-step explanation:
The m is the slope of the line and the b is the y-intercept. We can see that the y-intercept is at -3, so that means D and B are not the answer. This leaves us with A and C. The slope of the line is going down instead of up, meaning that the slope of the line is negative. This means that C is not the answer.
Therefore, the answer is A, m= -3 and b= -3.
