Let
x=12 in------------- > the longest of the three sides
y=6 in
z= 9 in
if x< (y+z)----------- > one unique triangle <span>can be made
if x> (y+z)----------- > </span><span>no triangle can be made
</span>This is a Triangle Inequality Theorem
therefore
x=12
(y+z)=15
12<15------------ >one unique triangle can be made
the answer is the option <span>B. 1</span>
Answer:
9622454 eggs, 1872 piggs, and 63648 bunch of onion
Step-by-step explanation:
Fisrt determine how many times you should repeat the recipe by Dividing the total number of people by the total number one cook feeds
The answer will be 936
Multiply 936 by 856.7*12 to get the total number of eggs
Multiply 936 by 72 to get the total weight of ham you need than divide The answer by 36 to get the total number of pigs needed
Multiply 936 by 136 to get the total weight of onion you need than divide the answer by 2 to get the total number of onion bunches you need
Answer:
y=(7/4)x + 12, y=(-4/7)x -46/7
Step-by-step explanation:
first for the perpendicular line: we know the slope is the opposite reciprocal of -4/7, so m= 7/4. now we have y= 7/4 x +b. b is the y-intercept. to find b plug in the point (-8,-2). -2=(7/4)(-8) + b = -14+b so b=12. so the slope of the perpendicular line is y=(7/4)x + 12
parallel:
since the line is parallel the slope is -4/7. so we have y=(-4/7)x + b. next plug in the point (-8, -2) to find b: -2 = (-4/7)(-8) + b = 32/7 + b. so b= -46/7
Answer:
Option B: |x - 27.6| = 5.3
Step-by-step explanation:
We are told that the average time for athletes on the Central High School track team to run 200 meters is 27.6 seconds.
We are also told that the slowest and fastest recorded times varied from the average by 5.3 seconds.
This means that the slowest time varied by 5.3 seconds more than the average while the fastest time varied by 5.3 seconds less than the average.
If x is to represent the slowest or fastest time, the absolute value equation can be written as;
|x - 27.6| = 5.3