A graph of this equation y - 2 = -3/4(x - 6) is shown in the image attached below.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rearrange and simplify the given given equation in slope-intercept form in order to enable us plot it on a graph:
y - 2 = -3/4(x - 6)
Opening the bracket, we have:
y - 2 = -3x/4 + 18/4
y = -3x/4 + 18/4 + 2
y = -3x/4 - 26/4
y = -3x/4 - 13/2
Therefore, the slope is equal to -3/4 and the y-intercept is equal to -13/2.
In conclusion, we can logically deduce that the graph representing the given linear equation does not show a proportional relationship between the value of x and y.
Read more on graphs here: brainly.com/question/4546414
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Answer:
The two horiz. tang. lines here are y = -3 and y = 192.
Step-by-step explanation:
Remember that the slope of a tangent line to the graph of a function is given by the derivative of that function. Thus, we find f '(x):
f '(x) = x^2 + 6x - 16. This is the formula for the slope. We set this = to 0 and determine for which x values the tangent line is horizontal:
f '(x) = x^2 + 6x - 16 = 0. Use the quadratic formula to determine the roots here: a = 1; b = 6 and c = -16: the discriminant is b^2-4ac, or 36-4(1)(-16), which has the value 100; thus, the roots are:
-6 plus or minus √100
x = ----------------------------------- = 2 and -8.
2
Evaluating y = x^3/3+3x^2-16x+9 at x = 2 results in y = -3. So one point of tangency is (2, -3). Remembering that the tangent lines in this problem are horizontal, we need only the y-coefficient of (2, -3) to represent this first tangent line: it is y = -3.
Similarly, find the y-coeff. of the other tangent line, which is tangent to the curve at x = -8. The value of x^3/3+3x^2-16x+9 at x = -8 is 192, and so the equation of the 2nd tangent line is y=192 (the slope is zero).
Answerthe answer to this question is b
Step-by-step explanation:
Answer:
480 cubic cm.
Step-by-step explanation:
We have been given that a wedge of cheese in he shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm.
We can see from our attachment that base of our triangular face is 10 cm and height of the triangular face is 12 cm and height of wedge is 8 cm.
Substituting these values in volume formula we will get,
Therefore, the volume of cheese wedge will be 480 cubic cm.
Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, and a ratio compares two numbers with the same unit.
