The corresponding point to the point given (3,5) which is on the graph of f(x) as described in the task content is; (3,6).
<h3>What is the corresponding point to the given point (3,5) as given in the task?</h3>
It follows from the task content that the point given originally is; (3,5).
However, it is required that the point which is equivalent to the given point on the graph of y=(x+2)+1 be identified.
It therefore follows that the point required as in discuss is;
y = (3+2) +1
y = 6.
Hence, the corresponding point is; (3,6).
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G(x) = F(x + 4) + 2
Addition of a number to x indicates a shift towards left. Since 4 is being added to x, this means function is shifted to left by 4 units.
Addition of a number to the function represent an upward shift. Since 2 is being added to the function value, this mean function is shifted up by 2 units.
So, G(x) is obtained by shifted F(x) 4 units to left and 2 units up.
Thus, option C is the correct answer
Answer:
The ratio means that for every 8 fries, there is a ketchup. So if there were 16 fries, then there are 2 ketchup.
Since the triangle is equilateral, QR = RS = QS.
a. MS = (1/2)74
MS = 37
b. Half of the equilateral triangle makes a right triangle. Use Pythagorean Theorem to find QM.
a^2 + b^2 = c^2
37^2 + b^2 = 74^2
1369 + b^2 = 5476
subtract 1369 from both sides
b^2 = 4107
take the square root if both sides
b = 64.1
QM = 64.1
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where 
and 
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:
The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>
