Answer:
x∈(20/3;26/3)
Step-by-step explanation:
12 < 2x-4/3 < 16
first we add 4/3 to each side
12+4/3<2x<16+4/3
we bring to the same denominator
12*3/3+4/3<2x<16*3/3+4/3
(36+4)/3<2x<(48+4/3)
40/3<2x<52/3
now we divide by 2
20/3<x<26/3
x∈(20/3;26/3)
Answer:
6x + 14
Step-by-step explanation:
Area = side x side
Factor the quadratic:
2x^2 +10x / +1x +5
2x(x+5) 1 (x+5)
(2x + 1) (x+5)
^These are your two sides
Perimeter =2L + 2W
(2(2x+1)) + (2(x+5))
4x+4+2x+10 = final answer 6x + 14
Answer:
(1, 3)
Step-by-step explanation:
Given the expression
x+y = 4 ... 1
y = 2x+1 ....2
Substitute equation 2 into 1
x + (2x+1) = 4
3x + 1 = 4
3x = 4-1
x = 3/3
x = 1
Since y = 2x + 1
y = 2(1) + 1
y = 3
Hence the solution to the equation is (1,3). This means that the coordinate point on the graph where both lines intersect will be at (1, 3)
The measure of angle 1 would be (3x+2) and the measure of angle 2 would be (5x+10). There is no way to determine the exact degrees of these angles because not enough information is given.
Answer:
4. Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Step-by-step explanation:
Player 1's position is (-3, 5).
It means that it is 3 units left from the origin and 5 units above the origin.
Player 2's position is (3, 5).
It means that it is 3 units right from the origin and 5 units above the origin.
Hence, the two points are on the same horizontal line bisected by the y-axis.
So, Player 2's position is Player 1's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
