Given :
Three points , P(4, 3, 4), Q(2, 1, 3), R(2, 7, 0) .
To Find :
The length of sides .
Given :
We know , length of two points P(x,y ,z) and Q(a,b,c) is given by :
Length of PQ :
Length of QR :
:
Length of RP :
Hence , this is the required solution .
Answer:
y=5/3x-13
Step-by-step explanation:
We must use the point-slope form(parallel lines have the same slope, remember that!)
y-y1=m(x-x1)
y-2=5/3(x-9)
y-2=5/3x-15
y=5/3x-13
Answer:
19ft
Step-by-step explanation:
Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.
The velocity of the ball is zero at maximum height and it is expressed as:
V(x) = dy/dx
V(x) = -32x+32
Since v(x) = 0
0 = -32x+32
32x = 32
x = 32/32
x = 1s
Get the height y
Recall that y = -16x² + 32x + 3.
Substitute x = 1
y = -16(1)²+32(1)+3
y = -16+32+3
y = -16+35
y = 19ft
Hence the maximum height reached by the ball is 19ft
Answer:
<h2>S=$3</h2>
Step-by-step explanation:
Given that the cost of cooler is $44
money given to the two sons $50
let S represent the amount the two son will have to share equally
the change is 50-44=6
=$6
Then s=6/2=$3
applying with the expression directly we have
S = (50 - 44)/2
S = (6)/2
S=$3
Answer:
1. d. Two sided t-test
2. b. 0.000193
3. a. Since p- value is very small we can conclude that the more soda the student drink the heavier they get.
4. c. Test in inconclusive; thus we cannot claim that there is a correlation between drinking soda and weight.
Step-by-step explanation:
The hypothesis testing is used to test the claim against the alternative hypothesis. The p value is determined in order to conclude the result for the test as whether to accept or reject the null hypothesis. The null hypothesis can be accepted when the p value is greater than the critical value of the t-test.
