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vaieri [72.5K]
2 years ago
9

Which linear inequality represents the graph below?

Mathematics
1 answer:
muminat2 years ago
5 0

Answer:

The answer would be B

Step-by-step explanation:

The reason that we know this is because the line is falling and because it is a solid line then we know that it is ≥ and not just >.  the solid line already gets rid of C and D.  A is a positive number which would cause the line to go the opposite direction.  Therefore B is your only answer left.

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Is the figure an example of parallel lines?
evablogger [386]
Parallel lines are a pair of lines that do not intersect

Therefore this is not an example of parallel lines because the lines intersect

The answer is C
5 0
2 years ago
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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1

\Rightarrow 12h-5k-1=\pm 13

\Rightarrow 12h-5k=\pm 14

\Rightarrow 12h-5k=14,\ 12h-5k=-14

\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0
2 years ago
Given the function f(x) = 2|x + 6| -4, for what values of x is f(x) = 6?
photoshop1234 [79]

Answer:

f(x) = 2|x + 6|-4

6=2|x + 6|-4

10= 2|x + 6|

divide by 2

5=|x + 6|

x = 5-6

x = -1

so x should be -1

4 0
3 years ago
Select all that apply.
kirill115 [55]
It would be 5*5*5  which is 125 :D
3 0
3 years ago
Read 2 more answers
20 points -simplify fully
natulia [17]

Answer:

4√7

Step-by-step explanation:

5√7 +   √7 -  2√7

Taking out common term, √7.

= √7 ( 5 + 1 - 2)

Simplify the terms in the bracket.

= √7 (4)

= 4 √7

7 0
3 years ago
Read 2 more answers
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