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ddd [48]
4 years ago
6

Using the inequity -16k-32>-48

Mathematics
1 answer:
3241004551 [841]4 years ago
8 0

Answer:

k<1

Step-by-step explanation:

1. Add 32 to both sides

-16k-32+32>-48+32

2. Simplify

-16k>-16

3. Reverse the sign (You only reverse the sign if you are DIVIDING BY a negative.)

-16k/-16 = k

-16/-16 = 1

You're left with k < 1

Your number line graph should be an open circle at 1 going to the left.

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Three vertices of parallelogram WZXY are W(-5, 2), X(2, 4) and Z(-7, -3). Find the coordinated of the vertex, Y.
Dominik [7]

Answer:

Y = (4,9)

Step-by-step explanation:

Given

W(x_1,y_1) = (-5, 2)

Z(x_4,y_4) = (-7, -3)

X(x_2,y_2) = (2, 4)

Required

Find Y

To do this, we make use of the mid-point formula

i.e.

M = \frac{1}{2}(x_n+x_m,y_n+y_m})

WX and ZY are the diagonals of the parallelogram.

The mid-point of WX is:

M = \frac{1}{2}(-5+2,2+4)

M = \frac{1}{2}(-3,6)

The mid-point of ZY is:

M = \frac{1}{2}(-7+x,-3+y)

Equate both values of M

\frac{1}{2}(-3,6) = \frac{1}{2}(-7+x,-3+y)

Multiply both sides by 2

(-3,6) = (-7+x,-3+y)

By comparison:

-7 + x = -3

-3 + y = 6

-7 + x = -3

x = 7 -3

x = 4

-3 + y = 6

y = 6 +3

y = 9

Hence:

Y = (4,9)

3 0
3 years ago
What is the value of k? 2k+9=7−3k
musickatia [10]

Answer:

k = -2/5

Step-by-step explanation:

2k+9=7-3k

2k+3k=7-9

5k=-3

k=-2/5

5 0
4 years ago
Read 2 more answers
Which of the following tables represents a function? x 2 2 3 3 y 5 −5 6 −6 x 4 −4 4 −4 y 1 2 3 4 x 6 6 7 7 y 2 3 4 5 x 2 −2 4 −4
Crank

Answer: Fourth option.

Step-by-step explanation:

By definition, a relationship is a function if and only if each input value (or each x-value) has only one output value (or y-value).

Given the first table:

x|2\ \ 2\ \ 3\ \ 3\\y|5-5\ 6-6

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x| 6\ 6\ 7\ 7\ \\y|2\ 3\ 4\ 5

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x| 2\ -2\ 4\ -4\ \\y|8\ \.\ \ 8\ \ 12\ \ 12

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4 0
3 years ago
Read 2 more answers
How do I convert pounds to tons?
ExtremeBDS [4]
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7 0
3 years ago
Read 2 more answers
Help me quick what is 5x90
maria [59]
5 x 90 = 450

When you multiply numbers with zeros, you first multiply the numbers and then add the zero(es) at the end. 

5 x 9 = 45
5 x 90 = 450
4 0
4 years ago
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