Answerpic
Step-by-step explanation:
1: supplementary means 180 degrees so subtract 30 from 180 and angle b is 150 degrees.
2: complementary means 90 degrees so subtract 49 from 90 and the second angle is 41 degrees.
3: a right angle is 90 degrees.
4: congruent means same size same shape so if the first angle is 40 degrees then the second angle would also be 40 degrees.
Answer:
1. It has two points in common with the x-axis.
2. The vertex in relation to the x-axis is at 
Step-by-step explanation:
The points that the equation has in common with the x-axis are the points of intersection of the parabola with the x-axis.
To find them, substitute y=0 and solve for "x":

Use the Quadratic formula:

It has two points in common with the x-axis.
To find the vertex in relation to the x-axis, use the formula:

Substituting values, you get:

The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼
<h3>Inverse variation</h3>
y = k ÷ x^¼
where,
- Constant of proportionality = k
When x = 3, y = 1
y = k ÷ x^¼
1 = k ÷ 3^¼
1 = k / 3^¼
1 × 3^¼ = k
k = 3^¼
Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼
Learn more about inverse variation:
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Answer:
Your answer is -14
Step-by-step explanation: