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sveta [45]
3 years ago
5

|2x + 2| greater than or equal to - 14

Mathematics
1 answer:
Elenna [48]3 years ago
6 0
D there is really no solution unless u get the value of x which I do not have so it can only be simplified into this equation above I hope this is correct and helpful

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In the coordinate plane, draw quadrilateral ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7), then demonstrate that ABCD is a
Len [333]

Answer:

ABCD is a rectangle

Step-by-step explanation:

∵ A = (-5 , 0) , B = (2 , -6) , C = (8 , 1) , D = (1 , 7)

∵ The x-coordinate of the mid-point of AC = (-5 + 8)/2 =3/2

∵ The y-coordinate of the mid-point of AC = (0 + 1)/2 = 1/2

∴ The mid-point of AC = (3/2 , 1/2)

∵ The x-coordinate of the mid-point of BD = (2 + 1)/2 =3/2

∵ The y-coordinate of the mid-point of BD = (-6 + 7)/2 = 1/2

∴ The mid-point of BD = (3/2 , 1/2)

∴ The mid-point of AC = The mid-point of BD ⇒ (1)

∵ AC = √[(8 - -5)²+(1 - 0)² = √170

∵ BD = √[(1 - 2)²+(7 - -6)² = √170

∴ AC = BD ⇒ (2)

From (1) and (2)

AC and BD equal each other and bisects each other

∴ ABCD is a rectangle

7 0
3 years ago
What does it mean to isolate the variable?
natima [27]

Answer: D

Step-by-step explanation: get the variable by itself on one side of the inequality sign.

8 0
2 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0
3 years ago
Pls help me out i’ll give brainliest to best answer
Vedmedyk [2.9K]

Answer:

5. ABC and XYZ

Step-by-step explanation:

matching angle values

5 0
2 years ago
I’m putting the right answer which is “6” but the computer keeps telling me I’m wrong, I don’t understand, what else is there to
iragen [17]

You may have have forgotten to find the measure of A. Which would by using your 6 that you got would be 19.  

16X-6=90

96=16X

X=6

8X6-29

48-29

19

3 0
2 years ago
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