-- If the GCF of both numbers is 871, then they're both multiples of 871.
-- If they're both even, then they must both be even multiples of 871.
-- They can't be the 2nd and 4th multiples of 871, because then the
bigger one would be divisible by the smaller one.
-- So the smallest they could be is the 4th and 6th multiples of 871 ...
<em>3,484</em> and <em>5,226</em> .
Weird problem !
The ball takes 6 seconds to reach the ground.
<u><em>Explanation</em></u>
Height of the ball after
seconds is represented by....

The height of the ball is 0 feet when it hits the ground. So, for finding the number of second the ball takes to reach the ground, <u>we will just plug
into the above equation and then solve for
.</u>
Thus...

Using zero-product property....

and
(Negative value is ignored as time can't be negative)
So, the ball takes 6 seconds to reach the ground.
Answer:
y= -1/2x-4
Step-by-step explanation:
By standard form, I'm assuming you mean slope-intercept form, which is y=mx+b. First, we need to find m, or the slope. To do this, we need to plug it into this equation: m= y2-y1/x2-x1. We can rewrite this with our two points, so we make it into m= -5+3/2+2. I did plus signs because if you subtract a negative number from a number, it has the same effect as addition does. Now, we have m= -2/4, which we can simplify to -1/2. Now, we have y=-1/2x+?. Now, let's plug in the numbers in slope-intercept form. I'll choose the ordered pair (-2, -3) for this example. Now that I've plugged the numbers in y=mx+b form (slope-intercept form), we have -3=(-1/2⋅-2)+b. Now, we solve it. First, we do the problem in the parenthesis, from that, we get 1. Now, we have -3=1+b, let's subtract 1 from both sides. Now, we have -4=b. That means our y-intercept is -4. Let's plug this back in the equation. We get y=-1/2x-4. I hope this helps!
Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
<h3>duro3horasaaaaaaaaaaaaaaaaaaaaaaaaaa </h3>