Answer:
$7
Step-by-step explanation:
Answer:
m∠MNQ = 158
Step-by-step explanation:
As it can be seen in the figure:
+) The measure of arc MQ = 91 degree
+) The measure of arc RP = 225 degree
As this is the circle, four points M, Q, P and R are on the circle, so that we have:
+) m∠RMP = 1/2. measure of arc RP = 1/2 x 225 = 112.5 degree
As N is on MP
=> m∠RMN = m∠RMP = 112.5
+) m∠ MRQ = 1/2 measure of arc MQ = 1/2 x 91 = 45.5 degree
As N is on RQ
=> m∠MRN = m∠MRQ = 45.5
In the triangle RMN, the total measure of 3 internal angles is equal to 180 degree, so that:
m∠MNR + m∠RMN + m∠MRN = 180
=> m∠MNR + 112.5 + 45.5 = 180
=> m∠MNR = 180 -112.5 -45.5 = 22
As N is on QR
=> m∠MNR + m∠MNQ = 180
=> m∠MNQ = 180 - m∠MNR = 180 - 22 = 158
So that m∠MNQ = 158
<h3>
Answer: x = -1</h3>
Explanation:
The given quadratic is in the form y = ax^2 + bx + c
We have a = 1, b = 2, c = 2
This then leads to
h = -b/(2a)
h = -2/(2*1)
h = -1
This is the x coordinate of the vertex (h,k)
The axis of symmetry is the vertical line passing through the vertex. So it must share the x value in question.
Meaning the axis of symmetry is x = -1. Every point on this vertical line has an x coordinate of -1. This line of symmetry splits the parabola into two equal mirrored halves.
I recommend using a graphing tool like Desmos to visually confirm the answer.
Answer: 4. No, the graph is NOT a function because using the vertical line test, it intersects at two points at a time.
5. Yes, it is a relation, and it is also a function because once those points are plotted if given the vertical line test, there would not be two points crossed at once. So, yes, it is a function.
6. Yes, it is a relation. No, it does NOT make up a function because a vertical line would intersect all the points given.
I got 784 cups bc 7•7 =49, and 49 gallons converted to cups in 784
