The quantities of x and y are proportional. Find the constant of proportionality (r) in the equation y= rx
1 answer:
All you have to do is choose one of the rows, and then substitute in the values for x and y into the equation y = rx, and then solve for r:
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I'll choose the first row, where x = 8 when y = 2:
<em>(substitute in, x = 8 and y = 2)</em>
<em>(divide both sides by 8)</em>
<em>(simplify the fraction)</em>
<em>(Change to a decimal)</em>
So
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Answer:
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Answer:
<h2>"less than 1".</h2>Step-by-step explanation:
The given quotient is
In this case, before solving the quotient, we can ensure that its result is less than 1, because the numerator is less than the denominator, this is called a "proper fraction", and those fraction always ends in a number less than 1.
Therefore, the answer is "less than 1".
<h2>Answer and Explanation to questions 13,14,15</h2>
13) as given in the question.
14) Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.
15)
and
. So,
∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°
And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.
∠3 + ∠1 = 180° .............(i)
∠1 + ∠2 = 180° .............(ii)
subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)
15) ∠3 is supplementary to ∠1 as given in the question
16) ∠2 is supplementary to ∠1 as shown be equation (ii)
18) ∠3 ≅ ∠2 as shown by equation (iii)
<h2>Answer and Explanation to questions 19</h2>∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)
∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)
subtracting equation (i) and (ii)
∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)
∠3 + ∠4 - ∠4 - ∠5 = 180°-180°
∠3 - ∠5 = 0
∴ ∠3 = ∠5 (Hence Proved)
Answer:
D
Step-by-step explanation:
We really don't care about because it's not something the question wants, so let's just focus on
.
reflected across the
-axis is the same as flipping the sign of the
coordinate. So,
.
So, the answer is and we're done!