9514 1404 393
Answer:
D. (-3, -2)
Step-by-step explanation:
The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.
Using (x, y) = (-2, -3):
x = y -1 ⇒ -2 = -3 -1 . . . . False
Using (x, y) = (-3, -2):
x = y -1 ⇒ -3 = -2 -1 . . . .True
2x = 3y ⇒ 2(-3) = 3(-2) . . . . True
The solution is (-3, -2).
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If you'd like to solve the set of equations, substitution for x works nicely.
2(y -1) = 3y
2y -2 = 3y . . eliminate parentheses
-2 = y . . . . . . subtract 2y
x = -2 -1 = -3
The solution is (x, y) = (-3, -2).
Answer: b
Step-by-step explanation: the parallel proportionality theorem states that “if two or more parallel lines are intersected by two transversals, the parallel lines divide the transversals proportionally.” Therefore, you make a ratio and solve:
(4/2)=(6/x) and if you solve, x=3
now, 6+3=9, so 2x-11=9
if you solve for that, x=10
Answer:
Step-by-step explanation:
12 = 60% of x = 0.6x
x= 12/0.6= 20
Paper had 20 shapes. He cut out 12 shapes; 8 shapes remain
Answer:
plz put one qusetion a time plz so i can put it down better
Step-by-step explanation:
Answer:
Answer in terms of a trigonometric function :
Answer in figures
Step-by-step explanation:
Consider the sketch attached below to better understand the problem.
Let x be the distance between point B and the base of the water tower.
From equation 2,
substituting the value of x into equation 1, we get
cross multiplying,
The height of the tower is in terms of the trig function "Tan"
The equation can simply be evaluated to get the answer in figures since the angles are given in the question
