Answer:
y=7
Step-by-step explanation:
Since y "b" of the triangle is x and the hypotenuse is 2x, you can divide 14 by 2 and get 7, the answer.
I: y<2*x
II: y<8
III: x>2
a: (5,3):
I: 3<2*5
3<10 ?yes
II: 3<8 ?yes
III: 5>2 ?yes
This is a solution
b: (6,0):
I: 0<2*6
0<12 ?yes
II: 0<8 ?yes
III: 6>2 ?yes
This is a solution
c: (3,3):
I: 3<2*3
3<6 ?yes
II: 3<8 ?yes
III: 3>2 ?yes
This is a solution
d: (1,-4):
I: -4<2*1
-4<2 ?yes
II: -4<8 ?yes
III: 1>2 ?no
This is not a solution
e: (4,-2):
I: -2<2*4
-2<8 ?yes
II: -2<8 ?yes
III: 4>2 ?yes
This is a solution
f: (5,9):
I: 9<2*5
9<10 ?yes
II: 9<8 ?no
This is not a solution
so a,b,c,e are solutions and d,f not
The domain and range for each line is all real numbers. This is because all numbers are possible to input into x and all y values exist.
The slope of the first line is -2/3 and the y intercept is 6. You can reach this conclusion by solving for y (putting it in slope intercept form).
The slope of the second one is 3/4. and the y intercept is all real numbers greater than -4. This is true because it is an inequality and you can find these numbers by solving for y.
Answer:
6.3 feet
Step-by-step explanation:
use pythagorean theorem
a² + b² = c²
a² + 3² = 7²
a² + 9 = 49
Subtract 9 from both side
a² = 40
Take the square root of both sides
a = 6.324555320336759
Rounded
a = 6.3
Answer:
The least common multiple would be 140.
Step-by-step explanation:
The least common multiple is known to be a multiple that is the lowest value that satisfies being a multiple with the other factors given.
The least common multiple was 140 as it was the lowest value that satisfied being a multiple of 14, 10, AND, 20,
14 * 10 = 140
20 * 7 = 140
10 * 14 = 140