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Aleksandr [31]
3 years ago
9

What is the solution of the system? y = -8x - 2 and y = -6x + 4

Mathematics
2 answers:
Iteru [2.4K]3 years ago
6 0
Equation 1:  y = - 8x - 2    

Equation 2: y = - 6x + 4

Equation both equations, we get:

- 8x - 2= - 6x + 4

-8x + 6x = 4 + 2

-2x = 6

x = -3

Using the value of x in first equation, we get:

y= -8(-3) - 2 = 24 - 2 = 22

So, the solution to the given equations is (-3, 22)

So, the answer is option A
leva [86]3 years ago
5 0
Plug the x and y coordinates into those equations and whichever one makes sense for BOTH of the equations is a solution
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Jack wants to use a circular rug on his rectangular office floor to cover two small circular stains, each less than π/100 square
stepladder [879]

Answer: YES

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • Area of each stain=less than π/100 square feet  
  • Each one 3 feet from the nearest wall
  • Area of rug: 9π square feet
  • The centers of the stains are less than 4 feet apart.

First, we have to apply the formula AREA OF A CIRCLE(A)= π r², to obtain the radius of each stain:

π/100 = π r²  

π/100 (1/ π)= π r²  

1/100 = r²

√1/100 =r

r = 1/10 ⇒ radius of each stain

The centers of the stains are less than 4 feet apart, so:

Max diameter needed to cover is 4+ 1/10 + 1/10 = 21/5 = 4.2

Finally, we have to obtain the diameter of the rug to compare:

Area of rug: 9π

: 9π = π r2 ⇒ r= 3  

⇒ d (diameter)= 3 x2 = 6 ft

With statements (1) and (2), we know that the diameter of the rug (6ft) can completely cover both stains (max distance is 4 .2ft)

5 0
3 years ago
Question 15 PLEASE HELP Find the y-intercepts of -x+2y=12. Y-intercept: (0,___)
Luba_88 [7]

Answer:

(0,6)

Step-by-step explanation:

5 0
3 years ago
Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=32.
Akimi4 [234]

Answer:

the answer is y=32x+198

Step-by-step explanation:

y-y=m(x-x1)

y-6=32(x-(-6))

y-6=32x+192

+6 +6

y=32x+198

8 0
3 years ago
HELP PLZ!!! this is a very difficult question
antoniya [11.8K]

Answer:

251.2 cm²

Step-by-step explanation:

Area of cylinder=2πrh+2πr^2

which is also=2πr(r+h)

applying formula

area=251.2 cm²

hope this helps plzz mark me brainliest

6 0
3 years ago
How do i do this or what's the answer (there is a picture btw)
velikii [3]
AB is 6
BC is 4
CD is 6
DA is 8
A is 45degrees
B is 130dgrees
C is 130degrees
D is 45degrees (about)
5 0
4 years ago
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