Hello once again!
When you see a question like this, you need to find the equation of the straight line.
The formular used is y = mx + c
Where
m = slope
c = constant
First find the slope, since it's a straight line, any 2 coordinates can be used.
Now we need to substitude in the slope, and one of the coordinate you used to find the slope, to the formular to find the constant.
In this case i'm using the coordinate
(-2, 16)
y = mx + c
16 = -6(-2) + c
16 = 12 + c
c = 4
∴ The equation of the line is y = -6x + 4
The next step is to simply substitude in the x = 8 to the equation to find y.
y = -6(8) + 4
y = -48 + 4
y = -44
The value of 
such that the line 
is tangent to the parabola 
is 
.
If is a line <em>tangent</em> to the parabola , then we must observe the following condition, that is, the slope of the line is equal to the <em>first</em> derivative of the parabola:
(1)
Then, we have the following system of equations:
(1)
(2)
(3)
Whose solution is shown below:
By (3):
(3) in (2):
(4)
(4) in (1):
The value of such that the line is tangent to the parabola is .
We kindly invite to check this question on tangent lines: brainly.com/question/13424370
Answer:
Second table.
Step-by-step explanation:
A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.
The additive rate of change is determined using the slope formula,
From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.
For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.
The additive rate of change of this table is
Therefore the second table has an additive rate of change of 3.
Answer:
<em>Un millón cuarenta y cinco mil cuatrocientos veinte</em> - 1'045.420
Step-by-step explanation:
A continuación, presentamos como se escribe cada componente:
<em>Un millón</em> - 1'000.000
<em>Cuarenta mil</em> - 40.000
<em>Cinco mil</em> - 5.000
<em>Cuatrocientos</em> - 400
<em>Veinte</em> - 20
Ahora, sumamos cada uno de estos números: 1'045.420.
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
<h3>What is a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Perpendicular lines are those lines that intersect each other at a point, and the angle between the two lines is 90°. The diagram given below represents the given situation.
Learn more about Line:
brainly.com/question/21511618
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