Hello!
I've attached the diagram.
For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).
Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²
The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²
Simplify:
64 + 36 = c²
100 = c²
10 = c
Answer:
The length of the ladder is 10 m.
A. {9,10,11,12}
9 and 10 are elements of set A but 11 and 12 aren't elements of A.
Subsets of A
{ } {1} {2} {3} {4} {5} {6} {7 } {8} { 9} {10}
{1,2} {1,3} {1,4} {1,5} {1,6} {1,7} {1,8} {1,9} {1,10} {1,2,3} {1,2,4} {1,2,5}........ you can write like this using all the elements of A
Answer:
x = 1
y = -5
Step-by-step explanation:
In this question, we need to find what the values of "x" and "y" are.
To do this, we must solve the equations.
Solve:
6x + 2y = -4
3x + 4y = -17
Lets solve for "y" first:
6x + 2y = -4
-2(3x + 4y = -17) = -6x - 8y = 34
Now subtract the two equations from each other.
6x + 2y = -4
-6x - 8y = 34
-6y = 30
Divide both sides by -6
y = -5
Now, we know that the "y" variable's value is -5.
Lets find the value of "x" by plugging -5 to "y" in one of the equations:
6x + 2(-5) = -4
6x - 10 = -4
Add 10 to both sides.
6x = 6
Divide both sides by 6.
x = 1
The value of "x" is 1.