Answer:

Step-by-step explanation:
Given
Straight Line, PS
Such that


Required
Find PS
From the attachment above, it can be seen that RS is a continuation of PS;
This implies that

Substitute
and 

Collect like terms


Hence, the length of PS is 
Answer:
20x + 10
Step-by-step explanation:
Given that :
Number of $20 bill = x
Number of $10 bill = 1
Total amount of money can be expressed as :
Σ(Value of bill * number of bill)
Hence,
($20 * x) + ($10 * 1)
20x + 10
The expression for the amount of money Donald has is : 20x + 10
Answer:
Cov(X, Y) =0.029.
Step-by-step explanation:
Given that :
The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)
Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.
0.04e–jτj/10 ............(2)
Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.
That is, they are 5 seconds apart,
τ = 5 seconds..............(3)
Thus,
Cov(X, Y), for τ = 5seconds = 0.04e-5/10
= 0.04e-0.5 = 0.04/√e
= 0.04/1.6487
= 0.0292
Thus, Cov(X, Y) =0.029.
Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula

The product of slopes of two perpendicular lines is -1.
Slope of GR is

Slope of RT is

Product of slopes of GR and RT is

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule

Then the coordinates of T' are


Slope of RT' is

Product of slopes of GR and RT' is

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
Answer:
Answer: 21,250m or 21,25km.
Step-by-step explanation:
8.5cm times 250,000 = 2,125,000cm
1m = 100cm is 1cm = 0.01m
2,125,000cm = 2,125,000 times 0.01 = 21,250m
1km = 1,000m is 1m = 0.001km
21,250m = 21,250 times 0.001km = 21.25km
And you get your answer.