<h3>The constant of variation is
</h3><h3>The equation is
</h3>
<em><u>Solution:</u></em>
Given that,
The conversion of square feet to square yards can be represented by direct variation
Let y represent the number of square yards
Let x be the number of square feet
y = kx ------ eqn 1
Where, "k" is the constant of variation
Three square yards are equivalent to 27 square feet
Substitute, y = 3 and x = 27 in eqn 1
Thus the constant of variation is
<em><u>What is the equation representing the direct variation?</u></em>
Substitute k = 1/9 in eqn 1
Thus the equation is found
Answer:
y - 7 = - 1(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b) = (4, 7) , thus
y - 7 = - (x - 4)
Answer:
256 fluid onces
Step-by-step explanation:
Hope this helps!!!
<span><span><span><span>x1</span> </span><span>= <span><span>−(−4) − √<span> (−4)2 − 4×3×7 </span> </span>2×3</span> </span><span>= <span><span>4 − 2 × √ 17 i </span>6</span> </span><span>≈ 0.666667 − 1.374369i</span></span><span><span><span>x2</span> </span><span>= <span><span>−(−4) + √<span> (−4)2 − 4×3×7 </span> </span>2×3</span> </span><span>= <span><span>4 + 2 × √ 17 i </span>6</span> </span><span>≈ <span>0.666667 + 1.374369i</span></span></span></span>
Answer:
1) Length = 5.7
2) Midpoint = (0, 2)
3) Gradient = 1
Step-by-step explanation:
We are given the intervals as;
A(-2, -1) and B(2, 3)
1) Formula for length of interval is;
AB = √[(3 - (-1))² + (2 - (-2))²)]
AB = √(16 + 16)
AB = √32
AB = 5.66 ≈ 5.7
2) Midpoint of the interval is;
((-2 + 2)/2), (-1 + 3)/2
This gives; (0, 2)
3) gradient is the slope and it's given by;
m = (y2 - y1)/(x2 - x1)
m = (3 - (-1))/(2 - (-2))
m = 4/4
m = 1
