Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
I is C because you use the pythag theorem
Answer:
7. inverse relationship; equation: y = 16/x
8. no relationship; no equation
Step-by-step explanation:
The attachment shows the support for the conclusions. The relationship can be chosen from those offered by looking at differences, ratios, or products of y-values for sequential x-values.
- linear: constant differences
- exponential: constant ratios
- inverse: constant products
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<h3>7.</h3>
In the first problem, we note that the relationship between y-values varies inversely as the relationship between x-values: when x goes up by a factor of (n+1)/n, the value of y goes down by its inverse factor: n/(n+1). That same relationship is observed by noting that the product of x and y is a constant, 16.
relationship: inverse
y = 16/x
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<h3>8.</h3>
As we looked at the table, we thought this might be an exponential function. Each y-value seemed to be twice the one before—until we got to x=5. As x went from 4 to 5, the y-value increased by a factor of 16, not 2. This means there is no simple relationship between x and y, and no simple equation that will describe the sequence of y-values.
Answer:
6. ![\displaystyle y - 1 = 2(x + 5)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%201%20%3D%202%28x%20%2B%205%29)
5. ![\displaystyle y + 4 = -3(x - 2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%204%20%3D%20-3%28x%20-%202%29)
4. ![\displaystyle y - 5 = -2(x + 1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%205%20%3D%20-2%28x%20%2B%201%29)
3. ![\displaystyle y - 2 = 3(x - 4)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%202%20%3D%203%28x%20-%204%29)
2. ![\displaystyle y - 4 = -3(x + 2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%204%20%3D%20-3%28x%20%2B%202%29)
1. ![\displaystyle y - 5 = 2(x - 1)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%205%20%3D%202%28x%20-%201%29)
Step-by-step explanation:
In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
I am joyous to assist you anytime.
Parallel lines have the same slopes and don't intersect. Perpendicular lines have opposite slopes and intersect at right angles. If it is neither, the lines would intersect without right angles.