The answer would be C) <span>–3x and –6x
using the headers for both the top and left side of the diagram, we can see that we need to add a value for when x is multiplied with -3, and when x is multiplied with -6, thus C is our answer</span>
Answer:
The answer to your question is z = -3
Step-by-step explanation:
Expand 42 = -7(z - 3)
42 = -7z + 21
Simplify 7z = -42 + 21
7z = -21
Clear z z = 
z = -3
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
More about the circle link is given below.
brainly.com/question/11833983
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The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality
Answer:
a(n) = 9.5 + 2(n - 1)
Step-by-step explanation:
Observe that each new term is obtained by adding 2 to the previous term. Thus, the common difference is 2 and the first term is 9.5.
Then a(n) = 9.5 + 2(n - 1)
