Answer:
Step-by-step explanation:
Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.
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2 answers:
Answer:
Given system of inequalities,
-2x + 3y > 3,
4x - 3y < 15,
Graphing -2x + 3y > 3 :
Related equation of line -2x + 3y = 3,
If x = 0,
-2(0) + 3y = 3 ⇒ 3y = 3 ⇒ y = 1,
If y = 0,
-2x + 3(0) = 3 ⇒ -2x = 3 ⇒ x = -1.5,
'>' represents the dotted line,
Join the points (0, 1) and (-1.5, 0) by dotted line.
For (0, 0), -2(0) + 3(0) > 3 ( False )
Shaded region will not contain the origin.
Graphing 4x - 3y < 15 :
Related equation of line 4x - 3y = 15
If x = 0,
4(0) - 3y = 15 ⇒ -3y = 15 ⇒ y = -5,
If y = 0,
4x - 3(0) = 15 ⇒ 4x = 15 ⇒ x = 3.75,
'<' represents the dotted line,
Join the points (0, -5) and (3.75, 0) by dotted line.
For (0, 0), 4(0) - 3(0) < 3 (True )
Shaded region will contain the origin.
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Answer:
x = 13.5
Step-by-step explanation:
We know that base angles of an isosceles triangle are equal. The base angles of the triangle are (4x)° each. The vertex angle of the traingle is (6x-9)°. So according to angle sum property of triangle,
The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
<h3>What is system of equation?</h3>A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,
Solve this equation as,
.....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,
Put the value of y in this equation and solve it further,
Put this value of x in equation 1,
The cost of an order of 1 hamburger and 2 orders of fries is,
Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
Learn more about the system of equations here;
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By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.
<h3>Which of the following functions is not a linear function?</h3>A polynomial is an expression of the form:
Where all the exponents are natural numbers.
We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.
So a linear function is of the form:
Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.
Then the correct option is C.
If you want to learn more about linear equations:
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