Given coordinates of the triangle:
(3,4)
(4,7)
(8,2).
We are given rule for transformation: (x,y) --> (-x,y).
According to given rule the y coordinates remain same but the coordinates of x's getting multiplied by a negative sign.
Let us write transformed coordinates of the given triangle according to given rule.
(3,4) --> (-3,4)
(4,7) --> (-4,7)
(8,2) --> (-8,2).
Now, we can plot those transformed coordinates on the graph and plot transformed triangle.
You want to round 905,154 to the nearest ten-thousands place. The ten-thousands place in your number is shown by the bold underlined digit here:
9<em><u>0</u></em>5,154
To round 905,154 to the nearest ten-thousands place...
The digit in the ten-thousands place in your number is the 0. To begin the rounding, look at the digit one place to the right of the 0, or the 5, which is in the thousands place.
Since the 5 is greater than or equal to 5, we'll round our number up by
Adding 1 to the 0 in the ten-thousands place, making it a 1.
and by changing all digits to the right of this new 1 into zeros.
The result is: 910,000.
So, 905,154 rounded to the ten-thousands place is 910,000.
Answer:
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Explanation:
The measure of how fast the wrestler gained weight, in kg per month, is the weight gain rate.
The table is:
Time (months) Weight (kg)
0.5 80.6
2 88.4
3.5 96.2
The weight gain rate, WGR, for a period may be calculated as:
- WGR = [ weight gain ] / [period]
- WGR = [final weight - initial weight] / [final time - initial time]
- WGR₁ = [88.4 kg - 80.6 kg] / [2 month - 0.5 month] = 7.8 kg / 1.5 month = 5.2 kg / month
- WGR₂ = [96.2 kg - 88.4 kg] / [3.5 month - 2 month] = 7.8 kg / 1.5 month = 5.2 kg / month.
As you see, the wrestler gained weight at a constant rate of 5.2 kg per month.
Area of a square = length²
A = x²
16 = x²; x = 4
dA/dx = 2x cm²/s
dx/dt = 6 cm/s
Using chain rule:
dA/dt = dA/dx * dx/dt
dA/dt = 2x * 6
dA/dt = 12x
At x = 4,
dA/dt = 12(4) = 48 cm²/s
Answer:
41/3
Step-by-step explanation:
6 + 6 + 5/6 + 5/6