Step-by-step explanation:
Points are (8,5) and (-12,-9)
The equation of a line passing through two points is given by :
or
But he writes the equation 7x – 10y = 3 which is not matching with the one we have calculated. It means that model calculated by Devon is not good.
Answer:
The correct answer is $81.28
Step-by-step explanation:
In order to find this, we simply treat the word of as a multiplication symbol.
0.8% of 125% of $8128
Now change the percentages to decimals
0.008 * 1.25 * 8128 = 81.28
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
<span>We know that 1 cm3 is 1 cm * 1 cm * 1 cm, so in inches:
1 cm3 = 1 inch3/2.54^3 cm3 = 1/2.54*1/2.54*1/2.54 = 1/16.387 = 0.061 inch3
Another way to solve is:
1 inch = 1 inch/2.54 cm = 0.3937 cm
Then 1 inch3 = 0.3937^3 cm = 0.061 inch3</span>
Hi! So when you are dividing or multiplying a decimal by 10, it becomes a lot easier than it looks. If you divide by 10, you move the decimal to the left one space. If you multiply the decimal by 10, you move the decimal to the right one space. Because you are diving 12.5 by 10, you move the decimal to the left one space, which then becomes 1.25. So, Lauren has run 1.25 miles. If you want to double check, you can multiply 1.25 by 10, which comes out to 12.5. Your answer is 1.25! Hope this helps!!
