Answer:
y=2 x and y=-2x ONE
y=-x - 2 and y = -x - 6 NONE
y = 9x - 1 and y = x + 9 ONE
y = 3x + 4 and 2y = 6x + 8 INFINITE
y=-3 and x = -6 ONE
Explanation:
Any two equations (with y value isolated, meaning y has no coefficient) that have the same slope will have no solutions because they are parallel. Parallel lines never meet. For example:
y=-x - 2 and y = -x - 6
They both have a slope of -1. The slope is the number attached to the "x".
If two equations are equivalent, they will have infinite solutions. Equivalent equations can be found when a whole equation is multiplied or divided by a number. For example:
y = 3x + 4 and 2y = 6x + 8
When you double every term in the first equation, it becomes:
2y = (2)3x + (2)4
It's the same as 2y = 6x + 8
.
Any other case will have one solution.
Given:
One interior angle is 50°.
Exterior angle is 95°.
To find:
The value of x and y.
Solution:
Exterior angle property of triangle:
The measure of an exterior angle is equal to the sum of the measures of the opposite interior angles.
⇒ 50° + y = 95°
Subtract 50° from both sides.
⇒ 50° + y - 50° = 95° - 50°
⇒ y = 45°
Sum of the adjacent angles in the straight line is 180°.
⇒ x + 95° = 180°
Subtract 95° from both sides.
⇒ x + 95° - 95° = 180° - 95°
⇒ x = 85°
The value of x is 85° and y is 45°.
Answer:
13 is c
Step-by-step explanation:
to find the length of a diagonal, pretend as if you are finding the hypotenuse of a triangle.
5^2 + 12^2 = c^2
25 + 144 = 169
the square root of 169 is 13