The equation of linear system in the form of inequality will be x + y ≥ 2 or y ≥ 2 – x.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The graph is given below.
The graph is a linear equation.
Then the equation of linear system in the form of inequality will be
The two point are given as (0, 2) and (1, 1). Then the equation of linear system will be
y – 2 ≥ [(2 – 1) / (0 – 1)] (x – 0)
y – 2 ≥ – x
x + y ≥ 2
More about the inequality link is given below.
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Answer:
Step-by-step explanation:
Using pythagoras theorem
AB²+BD²=AD²
5²+BD²=10²
25+BD²=100
BD²=100-25
BD²=75
BD=√75
BD=8.66
For triangle BDC,
Using pythagoras theorem
x²=DC²+BD²
x²=4²+75
x²= 16+75
x²=91
x=9.54
Answer:
<h3>Question 1</h3>
<u>Function given:</u>
<u>In the vertex form:</u>
- y = x² + 4x + 4 - 8 = (x + 2)² - 8
Axis of symmetry is the vertical line passing through the vertex.
<u>The vertex is</u>
<u>Axis of symmetry is </u>
<u>y- intercept is </u>
- x = 0 ⇒ y = -4, so the point (0, -4)
<u>Two other points are</u>
- x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)
- x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)
<em>See the graph with all the points plotted</em>
<h3>Question 2</h3>
<u>Function given:</u>
<u>In standard form:</u>
<u>In vertex form:</u>
- y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8
<u>The vertex:</u>
<u>Axis of symmetry is </u>
<u>y - intercept </u>
- x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)
<u>Two other pints:</u>
- x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)
- x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)
<em>The graph is attached with the points plotted.</em>
Answer:
-4 1/5
Step-by-step explanation: