Answer:
x = -4 ;
Step-by-step explanation:
6(x+3)=2(2x+5)
Distribution
6x+18 = 4x + 10
Subtract 4x on both sides
2x+18 = 10
Subtract 18 on both sides
2x = -8
Divided by 2
x = -4
Now if we have to substitute the value of X
6(-4+3)=2(-8+5)
Parenthesis first
6(-1) = 2(-3)
-6 = -6
Answer:
Parallel segments → 1
perpendicular segments → 2
congruent segments → 3
hope it helps...
have a great day!!
The number of seats sold cannot be negative, so you have
... x ≥ 0, y ≥ 0
The limits on numbers of seats must be observed, so you have
... y ≤ 2000
... x + y ≤ 3000
And the revenue constraint must be met:
... 35x + 50y ≥ 90,000
Together, these inequalties are ...
{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}
The value of x in the given expression can be either -41 or 45. The correct option is B.
<h3>What is Absolute Value?</h3>
An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
Given the modulus function (1/5)|x - 4| - 3 = 6. Now, there will be two cases of this because the value of x can be either negative, x<0 or it can positive, x>0. Therefore, the given modulus function can be solved as shown below.
(1/5)(x-4) - 3 = 6
(x/5) - (4/5) - 3 = 6
(x - 4 - 15)/5 = 6
x - 4 -15 = 30
x = 30 + 15 + 4
x = 45
(1/5)(-x+4) - 3 = 6
(-x/5) + (4/5) - 3 = 6
(- x + 4 - 15)/5 = 6
- x + 4 -15 = 30
-x = 30 + 15 - 4
-x = 41
x = -41
Hence, the value of x in the given expression can be either -41 or 45.
Learn more about Absolute value here:
brainly.com/question/1301718
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1) <span>Pairs A(2, 5), B(6, 5), and C(6, 1)
point D
Dx=Cx-(Bx-Ax)=(6-(6-2))=2
Dy=Cy=1
</span>the coordinates of vertex D is (2,1)
2) Pairs <span>A(2, 3), B(7, 3), and C(7, -2)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7-2))=2
Dy=Cy=-2
the coordinates of vertex D is (2,-2)
3) Pairs <span>A(-5, -1), B(1, -1), and C(1, -5)
</span>point D
Dx=Cx-(Bx-Ax)=(1-(1+5))=-5
Dy=Cy=-5
the coordinates of vertex D is (-5,-5)
4) Pairs <span>A(-1, 4), B(7, 4), and C(7, -1)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7+1))=-1
Dy=Cy=-1
the coordinates of vertex D is (-1,-1)
