The product of powers property.
Answer:
The answer to your question is : f(-2) = 2
Step-by-step explanation:
Just look for -2 in the x- axis and look for some line or point, vertical to number two.
In your example you can find a point two units upward the x-axis.
Hat means y + z = 180.
<span>y is thrice than z means y = 3 * z. </span>
<span>replace y with 3 * z in the equation of y + z = 180 to get 3 * z + z = 180. </span>
<span>combine like terms to get 4 * z = 180. </span>
<span>solve for z to get z = 180 / 4 = 45 degrees. </span>
<span>since y = 3 * z, then y = 3 * 45 = 135 degrees. </span>
y = 135
<span>z = 45 </span>
y + z = 180 becomes 135 + 45 = 180
<span>y = 3 * z = 135 = 3 *45 </span>
<span>solution is confirmed to be good.</span>
Answer:
Step-by-step explanation:
The sum of the angles on a straight line is 180 degrees. Therefore,
Angle XYZ + angle MYZ = 180
Angle XYZ + 115 = 180
Angle XYZ = 180 - 115 = 65 degrees
The sum of the angles in a triangle is 180 degrees. It means that
Angle XZY + angle YXZ + angle MYZ = 180
Therefore,
4k + 5 + 6k + 10 + 65 = 180
4k + 6k + 5 + 10 + 65 = 180
10k + 80 = 180
10k = 180 - 80 = 100
Dividing the left hand side and the right hand side of the equation by 10, it becomes
10k/10 = 100/10
k = 10
The answer is 21 which comes from 7 * 3.
Draw the four points in a complex plane. From the drawing you can see that the lenght is 4i - (-3i) = 4i + 3i = 7i, and the width is 1 - (-2) = 1 + 2 = 3.
So, the area is 7 * 3 = 21.