Distance from P to the x-axis = 2x distance from P to the yz-plane
<span>Distance to the x-axis of a point P=(x,y,z) is (y^2+z^2)^1/2 </span>
<span>Distance to the yz-plane of a point P=(x,y,z) is x </span>
<span>So your equation is: </span>
<span>(y^2+z^2)^1/2 = 2x </span>
<span>=> y^2 + z^2 = 4x^2 </span>
<span>=> y^2 + z^2 - 4x^2 = 0
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I would say its 3/4 because there was only one blue and all together there is 4 now and the probability of picking a purple should be 3 out of 4.
the quickest way to do this would be to multiply 1,375 by 3 and then add 2.
1,375 * 3 = 4,125 + 2 = 4,127
correct!
The angle measure would be 53°.
Complementary angles add up to 90° so, if you're trying to find the other angle measure just subtract the angle measurement that you already know from 90.
90 - 37 = 53
Hope this helps! :)<span />
Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.
Step-by-step explanation:
Let x represent Corey's speed.
If Tom travels 4 mph faster than Corey, it means that Tom's speed would be (x + 4) mph
Corey is 176 miles from Tom and they are traveling towards each other. If they meet after 8 hours, it means that they travelled a total distance of 176 miles in 8 hours.
Distance = speed × time
Distance travelled by Corey in 8 hours would be
8 × x = 8x miles
Distance travelled by Tom in 8 hours would be
8(x + 4) = (8x + 32) miles
Since the total distance travelled by Tom and Corey is 176 miles, then
8x + 8x + 32 = 176
16x = 176 - 32 = 144
x = 144/16 = 9 miles per hour
Tom's speed would be
9 + 4 = 13 miles per hour
