The correct answer would be D. The plot of the line 5x+2y = 8 is slanted right downwards. To predict, we write the equation into slope-intercept form as follows:
y = mx + b where m is the slope and b is the y-intercept form
5x + 2y = 8
y = -5x/2 + 4
As we can see, the slope is negative so the graph should slope to the right downwards.
If each quilt requires 8 yards of fabric and there’s 185 yards you can make 23 quilts and have 1 yard remaining.
23x8= 184
185-184=1
To solve for the time an object takes to hit the ground, the equation
<em>y</em> <em>= y₀ + v₀t + ½gt²</em>, or just <em>0 = y₀ +½gt²</em> since there is no initial velocity and the final y position is 0 (since it is on the ground). Therefore, <em>t = (−2y₀/g)^½.</em>
(-2*60/-9.8)^½ = 3.50 seconds.
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By rearranging the equation, we find that 45 = 9/5 C +32 and 85 = 9/5 C +32
Therefore the answer is, 7.22 < C < 29.44
Solving for y, we can start by expanding to get y-3=5x-20. Next, we can add 3 to both sides (to separate y), resulting in y=5x-17. To find the slope in the equation y=mx+b, you simply find what you multiply x by, which is 5 in this case. To find a perpendicular slope, you start by making the slope (5 in this case) negative. Next, we find the reciprocal of the number. Since -5 can be written as -5/1, the reciprocal and therefore perpendicular slope is -1/5
