Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is
.
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that
and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is:
,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
Answer:
here is the answer
Step-by-step explanation:
you may please search it
Answer:
122
Step-by-step explanation:
For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.
It must be fulfilled that:
Dividend = Quotient * Divisor + Remainder
we have that the remainder is 122.
have a good day
Answer:
I think its 2nd one
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