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Amanda [17]
3 years ago
12

Solve 12x-5>-2 please

Mathematics
1 answer:
Stells [14]3 years ago
8 0

Answer:

x >  \frac{1}{4}

Step-by-step explanation:

12x - 5 >  - 2

Lets add +5 in both the sides.

=  > 12x - 5 + 5 >  - 2 + 5

=  > 12x > 3

Now lets divide 12 on both the sides.

=  >  \frac{12x}{12}  >  \frac{3}{12}

=  > x >  \frac{1}{4}

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Find the length of the line PA.
Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60

The area of right triangle:

A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30

Use the Pythagorean theorem to calculate the length of RO:

|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13

The formula of an area of this right triangle is:

A_T=\dfrac{1}{2}|RO||PA|

Therefore we have the equation:

\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62

8 0
3 years ago
5 - 3(-2) + |-3| please explain
Natalija [7]

Answer:

14

Step-by-step explanation:

=5+6+|-3|

=11+|-3|

=11+(-√3^2)

=11+3

=14

7 0
3 years ago
There are 156 laptops and desktop computers in a lab. There are 8 more laptops than desktop computers. What is the total number
timama [110]
There are 86 laptops
7 0
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X^2-16x+7=0 how do I solve this step by step
bixtya [17]

Answer: The answer I got was

x=8±√57

6 0
2 years ago
Graph: y + 2= -3/4 ( x+4)
S_A_V [24]

Answer:

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Step-by-step explanation:

X             Y

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0             5  

graph ^

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6 0
2 years ago
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