Answer:
12x +8y +1 = 0
Step-by-step explanation:
You can write the equation by swapping the x- and y-coefficients and negating one of them. Then compute the constant that makes the line go through the given point. You can do that like this:
3(x-(-3/4)) +2(y -1) = 0
3x +9/4 +2y -2 = 0 . . . . eliminate parentheses
3x +2y +1/4 = 0 . . . . . . . simplify
To eliminate the fraction, multiply by 4:
12x +8y +1 = 0
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<em>Comment on the equation</em>
The line ax+by=0 passes through the origin. Replacing x and y with x-h and y-k, respectively, makes the line pass through the point (h, k). That's what we did above to make the line pass through the given point.
The business of swapping coefficients and negating one causes the slope of the new line to be the negative reciprocal of the slope of the original line. That is what makes the new line perpendicular to the original.
Answer:
3x^3
Step-by-step explanation:
57/19=3
x^5 - x^2 = x^3
If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle. For the data set 1, 1, 2, 5, 6, 6, 9 the median is 5. For the data set 1, 1, 2, 6, 6, 9 the median<span> is 4.
</span>The mean<span> is the average of the numbers: a calculated "central" value of a set of numbers. To calculate: Just add up all the numbers, then divide by how many numbers there are.</span><span>
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It is C. Because it says that 8+ the product of 2 and a number to the third power, what it means 2×m cubed. So it is 8+2m (cubed)
Q1
Divide each distance by its time to find the speed for each driver.
T: 380 km / 4 hr = 95 km/h
M: 530 km / 5 hr = 106 km/h
Martine's average speed was greater.
Q2
Bronze to aluminum is 25:2
The alloy is bronze plus aluminum, so by adding 25 + 2 you get 27.
Bronze to total is 25:27
25 is 27 as x is to 55
25/27 = x/55
27x = 25 * 55
x = 50.926
Answer: 50.926 kg of bronze
Q3
Manipulative toys to art toys is 30:40
Total toys = 30 + 40 = 70
manipulative toys are 30 out of 70
30/70 * 100 = 42.9%
