Answer:

Step-by-step explanation:
Vertex form of the quadratic equation: 
where the vertex is 
Given vertex = (6, 5):

If one the x-intercepts is (8, 0):




Therefore, equation of parabola:

x-intercepts occur when f(x) = 0:






Therefore, the x-coordinate of the other x-intercept is 4.
Answer:
s = 1
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
39s + 129 + 79 + 145 + 148 = 540 , that is
39s + 501 = 540 ( subtract 501 from both sides )
39s = 39 ( divide both sides by 39 )
s = 1
The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through the point (4, 8) and has a slope of -2.
On comparing the standard equation:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
m = -2
y = -2x + c
Plug x = 4 and y = 8
8 = -2(4) + c
c = 16
y = -2x + 16
Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.
Learn more about the linear equation here:
brainly.com/question/11897796
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It is 6 the whole number 825/1000
Answer:
<u>D = (2,-1)</u>
Step-by-step explanation:
Given Rectangle ABCD has coordinates A (2, -5), B (-1, -5) and C (-1, -1)
By graphing the given points, we can deduce the point D
See the attached figure.
The point D will be the intersection of the lines x = 2 and y = -1
<u>So, the point D = (2,-1)</u>