What is the average rate of change for (0,80) and (15,10)
Answers
Answer:
-14/3
Step-by-step explanation:
formula: (y₂ - y₁) / (x₂ - x₁)
(10 - 80) / (15 - 0)
(-70) / (15)
simplify
-14/3
10-80/15-0
-70/15
=-14/3
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The system of equations does not have a solution.
The work must be incorrect because it is not possible to get this equation.
The system of equations has infinitely many solutions.
Answers
For example, imagine these two equations y = x + 7 and y = x + 9
Now subsitute y in the second equation with the value from the first equation:
x + 7 = x + 9
x - x + 7 = 9
0 + 7 = 9
7 = 9.
That happens because the equations represent parallel lines, which do not have a common pair of points.
The thing which Vineet can conclude is:
- B. The system of equations does not have a solution.
That happens because the equations represent parallel lines, which do not have a common pair of points.
Equation
This refers to the statement in mathematics which shows the equality of two expressions using the = sign
With this in mind, we can see that if we expand the system of equations, it does not have a solution
Therefore, the correct answer is option B
Read more about system of equations here:
brainly.com/question/13729904
Answers
Answer: 56
Step-by-step explanation:
Final answer:
Given the center, focus, and vertex of a hyperbola, the equation of the hyperbola can be determined using the standard formula for a hyperbola and calculations for the values of a and b. For the hyperbola with center (4, -1), focus (11, -1), and vertex (0, -1), the equation is (x - 4)²/16 - (y + 1)²/33 = 1.
Explanation:
The subject of the question is to write the equation of the hyperbola given the center, focus, and vertex. In general, the equation of a horizontal hyperbola is (x - h)²/a² - (y - k)²/b² = 1 where the (h, k) is the center, a is the distance from the center to a vertex, and b is the distance from the center to a co-vertex. In this case, the center is (4, -1), the focus is (11, -1), the and vertex is (0, -1).
To determine a, calculate the distance from the center to a vertex. With the center at (4, -1) and vertex at (0, -1), a = 4. To determine b, apply the hyperbola's relationship of c² = a² + b², where c is the distance from the center to a focus. Given that the distance to the focus (from (4, -1) to (11, -1)) is 7 (so, c = 7) and a = 4, solve for b to get b = sqrt(c² - a²) = sqrt(49-16)= sqrt(33). Therefore, the equation of the hyperbola is (x - 4)²/16 - (y + 1)²/33 = 1.
Learn more about Hyperbola here:
#SPJ11
–5
B.
-1/5
C.
1/5
D.
5
Answers
Answers
Answer:
6,1,3
Step-by-step explanation:
Answers
(x-3)^2=16
Answers
You can figure this out easily by extending the top and bottom sides of the trapezoid, and finding supplementary / corresponding angles.
First, look at the top. We know that supplementary angles add up to 180 degrees (or form a straight line), so subtract 180 - 45 to get 135 degrees.
When you extend the short (bottom) side of the trapezoid along with the long (top) side and the diagonal line, it’s easy to see that there are corresponding angles. The 135-degree angle corresponds with angle x, so the measure of x would therefore be 135 degrees.
Answer:
135
Step-by-step explanation: