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Artemon [7]
3 years ago
10

Which expressions are a factor of -48xyz -24xy +40xyz?

Mathematics
2 answers:
jolli1 [7]3 years ago
8 0
2xy is an expression of all 3 numbers
Paha777 [63]3 years ago
6 0
A. 4 (is the only factor for expression -48xyz -24xy +40)
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A projectile is fired from a cliff 190 feet above the water at an inclination of 45 to the horizontal, with a muzzle velocity of
jenyasd209 [6]

Answer:

Step-by-step explanation:

I'm not sure if this problem is physics based or calculus based.  So I used calculus because it just makes more sense to do so.

If the projectile is fired from 190 feet in the air, then h0 in our quadratic will be 190.  Since we are being asked to find both the displacement in the x-dimension and in the y-dimension, we need a bit of physics here as well.  The velocity in the y-dimension is found in

v_{0y}=v_{0}sin\theta  and the velocity in the x-dimension is found in

v_{0x}=v_{0}cos\theta

Since the sin and the cos of 45 is the same, it's made a bit simpler for us.  The velocity in both the x and the y dimension is 35.35533906 feet per second.

We can use that now to write the quadratic we need to start solving these rather tedious problems.

The position function for the projectile is

s(t)=-16t^2+35.35533906t+190

I'm going to kind of mix things up a bit, because in order to find the distance in the horizontal dimension that the object is when it's at its max height, we need to first find out how long it takes to get to its max height.  We will first take the derivative of the position function to get the velocity function of the projectile.  The first derivative of the position function is

v(t)=-32t+35.35533906

Remember that the first derivative is the velocity function of the projectile.  You should know from either physics or calculus that at its max height, the velocity of an object is 0 (because it has to stop in the air in order to turn around and come back down).  Setting the velocity function equal to 0 and solving for time will give us the time that the object is at the max height.

0=-32t+35.35533906

I'm going to factor out the -32 to make things easier:

0=-32(t-1.104854346) which gives us that at approximately 1.10485 seconds the object is at its max height.  

Moving over to the horizontal distance question now.  The displacement the object experiences in the horizontal dimension is found in d = rt.  We know the horizontal velocity and now we know how long it takes to get to its max height, so the horizontal distance is found in

d = (35.35533906(1.10485) so

d = 39.06 feet  When the object is at its max height the object is a horizontal distance of 39.06 feet from the face of the cliff.  That's a.

Now to find the max height, we will use again how long it took to get to the max height and sub it in for t in the position function.

s(1.10485) = -16(1.10485)^2 + 35.35533906(1.10485) + 190 to get that the max height is

209 feet.  That's b.

Now for c.  We are asked when the object will hit the water.  We know that when the object hits the water it is no longer in the air and has a height of 0 above the water.  Sub in a 0 for s(t) in the original position function and factor to solve for t:

0=-16t^2+35.35533906t + 190 and solve for t by factoring however you find to be the easiest.  Quadratic formula works great!

We find that the times are -2.51394 seconds and 4.72365 seconds.  Since time will NEVER be negative, we know that the time it takes to hit the water is 4.72365 seconds.

Whew!!!

8 0
3 years ago
The smaller triangle is the image of the larger triangle after a dilation. The center of the dilation is (4,2). What is the scal
zzz [600]
Small triangle: <span>The side // x axis has a length of 4
Large triangle: The side // x axis has a length of 12

So Small/Large = 4/12 = 1/3

Small triangle: <span>The side // y axis has a length of 3
Large triangle: The side // y axis has a length of 9


</span><span>So Small/Large = 3/9 = 1/3

So the scale factor to obtain this dilatation is 1/3</span>

</span>
7 0
3 years ago
Read 2 more answers
You can only divide a numerator and denominator one time when finding the simplest form.
morpeh [17]
False. Its as many times until you can no longer divide
8 0
3 years ago
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find the slope and y-intercept of the line that is perpendicular to y= -2/3x+5 and passes through the line -6,4 ​
nexus9112 [7]

y = mx+b\\\\[m is the slope, b is the y-intercept]\\\\y=\frac{2}{3}x+5\\

That means 2/3 is the slope and 5 is the y-intercept.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

6 0
3 years ago
what is a more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs.
jasenka [17]

A more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is the; use the cross sections of the actual sphere, and to not use the cylindrical slabs.

<h3>What is a Cylinder?</h3>

A Cylinder is a surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.

Sphere

This is a regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about it's diameter.

Therefore, the use of cross sections of the actual sphere is a more accurate method for approximating the volume of the spherical slab.

Learn more about cylindrical slab:

brainly.com/question/9554871

#SPJ1

6 0
1 year ago
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