Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4
Answers
Answer:
y > x - 2.
2*y + x < 4
The correct option is the third one.
Step-by-step explanation:
First let's find the red shaded part.
We can see that the shade is above the line, then we will have something like:
y > a*x + b
where a*x + b is the equation for the line.
a is the slope, and b is the y-intercept.
In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:
b = -2
To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)
We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:
a = (y2 - y1)/(x2 - x1)
Then for this line, the slope will be:
a = (0 - (-2))/(2 - 0) = 2/2 = 1
Then the equation for this line is:
1*x - 2
And the inequality is:
y > x - 2.
Now for the blue one, the shaded part is below the line, then we will have:
y < a*x + b
In this case, the y-intercept is y = 2.
And we can see that this line passes through the points (0, 2) and (4, 0)
Then the slope is:
a = (0 - 2)/(4 - 0) = -2/4 = -1/2
Then this inequality is:
y < (-1/2)*x + 2
If we rewrite this as the ones shown in the options, we have:
y < (-1/2)*x + 2
2*y < -x + 2*2
2*y + x < 4
Then the two inequalities are:
y > x - 2.
2*y + x < 4
Then the correct option is the third one:
The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph
InequalityInequality is an expression that shows the non equal comparison of two or more numbers and variables
Given the inequalities y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.
The solution of the inequality on the graph is the very dark region.
Find out more on Inequality at: brainly.com/question/24372553
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Answer:
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Answers
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Answer:
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Answers
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
The computation of the square root of 5.494 is as follows"
According to the question it is mentioned that
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Now the square root of the above number is
[tex]\sqrt{5.494}[/tex]
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Step-by-step explanation:
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Step-by-step explanation:
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D
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Using the cosine ratio in the right triangle
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Step-by-step explanation:
Answer:
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Answers
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
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Answer:
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Step-by-step explanation:
The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?
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Answers
Step-by-step explanation:
In Quadrant II, cosine is negative.
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= -12/13 (since cosx is negative here)
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Option B is correct.
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According to the given question
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[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅ =1
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⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]
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Since, ∅ is in quadrant II, then cos<0
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Learn more about quadrant and cast rule here:
https://brainly.com/question/11099638
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A linear function contains the following points. What are the slope and yintercept of this function? O A. O B. O C. O D. 25 The slope is 4. The yintercept is (5, O). The slope is —4. The yintercept is (O, 5). 1 The slope is Tthe yintercept is (O, 5). 1 The slope is . The yintercept is (O, 5).
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Answer:
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Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
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Answers
Answer:
Transitive property of segment congruence
Step-by-step explanation:
The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,
The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].In terms of general equivalence relations,
The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].That's the transitive property.
The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.
Factor the following 36k^2-1
Answers
answer
[tex] {36k}^{2} - 1[/tex]
using identity
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
let a=6k and b=1
we get
[tex](6k + 1)(6k - 1)[/tex]
hope you are satisfied
I’ll mark as BRANLIEST!!!
45 POINTS!!!
I need help with both questions plz help god loves you all.
Answers
Answer:
43
-161
Step-by-step explanation:
-161
you’re welcome:))