Answer:
x = 1, y = -4
Step-by-step explanation:
7х + 2y = -1 ------ eq1
3х — 4y = 19 ------ eq2
multiply eq1 by 2
2 x (7х + 2y = -1)
14x + 4y = -2 -----eq3
by elimination, add equation 2 and 3
14x + 3x = 19-2
17x = 17 (divide both sides by 17)
x = 1 (answer)
substitute into eq1
7(1) + 2y = -1 (subtract 7 from both sides)
2y = -1 -7
2y = -8 (divide both sides by 2)
y = -8/2 = -4 (answer)
Answer:
-1,0
0,-4
1,-6
Step-by-step explanation:
plug in the first number into x and it gets you the second number
Answer:
The rightmost figure
Step-by-step explanation:
That is the only figure where there are 4 points of intersection. It is a rhombus inscribed in a square
The probability density function (pdf) is one that goes (0,0) to (1,1) in a straight line, and drops back to zero (in a straight line) from 1 to 2.
<=120 hours means x<=1.2
(a) Area under the pdf from 0 to 1.2 equals
P(X<=1.2)=0.5 (from 0 to1) + (1+0.8)/2*0.2=0.5+.18=0.68
(b) area between 50 and 100 hours means 0.5<=x<=1
=(3/4)(0.5)
=0.375
Look at the picture.
Definitions:

We have the point (-5, -12) → x = -5, y = -12.
Calculate r:

Substitute to the formula of sin:

Answer: a.