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Dmitrij [34]
3 years ago
12

Please help me

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0
4x+y>-6
y>-4x-6
Then:
(-1,-1)
if x=-1; and y=-1

-1>-4(-1)-6
-1>4-6
-1>-2;    
(-1,-1) is a solution for this in-equation.

(0,-9)
0>-4(-9)-6
0>36-6
0>30    this is not true, therefore (0,-9) is not a solution.

(4,-20)
-20>-4(4)-6
-20>-16-6
-20>-22   This is true, therefore (4,-20) is a solution. 

(2,0)
0>-4(2)-6
0>-8-6
0>-14        This is true, therefore (2,0) is a solution.

(-3,6)
6>-4(-3)-6
6>12-6
6>6             This is not true, therefore (-3,6) is not  a solution for this in-equality. 

Answer: The next pairs are solutions to this inequality: (-1,-1) , (4,20), (2,0).

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3 years ago
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Flura [38]

the answer is A ,when x=0,g(x)is-1,so when u add x into the g(x),which is  given below,u can find C,D,E,g(x) is no equal to -1,when you add x=1 into g(x)(A,B),you can find g(x) of B is 0,which is no equal the answer giving above(g(x)=2),but A is all right.

5 0
4 years ago
Find the volume of the solid whose base is the circle x2+y2=25 and the cross sections perpendicular to the x-axis are triangles
ivanzaharov [21]

Triangles with height h and base b, with b=h have area \dfrac{b^2}2.

Such cross sections with the base of the triangle in the disk x^2+y^2\le25 (a disk with radius 5) have base with length

b(x)=\sqrt{25-x^2}-\left(-\sqrt{25-x^2}\right)=2\sqrt{25-x^2}

i.e. the vertical (in the x,y plane) distance between the top and bottom curves describing the circle x^2+y^2=25.

So when x=4, the cross section at that point has base

2\sqrt{25-16}=6

so that the area of the cross section would be 6^2/2 = 18.

In case it's relevant, the entire solid would have volume given by the integral

\displaystyle\int_{-5}^5\frac{b(x)^2}2\,\mathrm dx=4\int_0^5(25-x^2)\,\mathrm dx=\frac{1000}3

6 0
3 years ago
A skydiver parachutes to the ground. The height y (in feet) of the skydiver after x seconds is y = −10x + 3000. a) Graph the equ
Anna007 [38]

The graph of the equation is:

The x intercept of 300 means the skydiver lands on the ground after 300 seconds. The slope of -10 means that the skydiver falls to the ground at a rate of 10 feets per second.

5 0
1 year ago
What is the measure, in radians, of central angle POQ? StartFraction 2 pi Over 3 EndFraction radians StartFraction 3 pi Over 4 E
Naya [18.7K]

Answer:

The answer is "\bold{\frac{2 \pi}{3}}"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

\to \bold{\theta = \frac{S}{r}}

Where,

\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length

\to \theta = \frac{PQ }{OQ}

       =\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}

3 0
3 years ago
Read 2 more answers
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