Answer:
The simplified equivalent expressions for given expression as below:
A) 2x+10x=12x
B) -4(3x-10)+5(2-6x)=-42x+50
C) 2(x-4)+x=3x-8
D) -3-7(3-4x)+8x=36x-24
Step-by-step explanation:
A) Given expression is 2x+10x
To simplify the expression using distributive property a(x+y)=ax+ay
2x+10x=12x (adding the terms)
B) Given expression is -4(3x-10)+5(2-6x)
To simplify the expression using distributive property a(x+y)=ax+ay
-4(3x-10)+5(2-6x)=-12x+40+10-30x
-4(3x-10)+5(2-6x)=-42x+50 (adding the like terms)
C) Given expression is 2(x-4)+x
To simplify the expression using distributive property a(x+y)=ax+ay
2(x-4)+x=2x-8+x (adding the like terms)
2(x-4)+x=3x-8
D) Given expression is -3-7(3-4x)+8x
To simplify the expression using distributive property a(x+y)=ax+ay
-3-7(3-4x)+8x=-3-21+28x+8x (adding the like terms)
-3-7(3-4x)+8x=-24+36x
-3-7(3-4x)+8x=36x-24
Subtract 8x from both sides and then divide both sides by 11 making the equation y=8/11x+8. First, you go up 8 places on the y intercept and make a point. From there, go up 8 (rise) points and right 11 (run) because the slope is 8/11 and it is rise/run.
Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
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<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Multiply 2/3 by 222 then subtract the number from 222 and you should get your answer
Answer:
-1/4 (d+1)< 2
(d+1) × -1 < 2×4
(d+1) × -1 < 8
-d - 1 < 8
-d < 8 + 1
-d < 9
d > -9
d = { -8, -7, -6....., 0, 1, 2, 3, 4,....}
Step-by-step explanation:
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