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Bingel [31]
3 years ago
12

GET BRAINLIEST FOR THE CORRECT ANSWER AND EXPLANATION!

Mathematics
1 answer:
Tresset [83]3 years ago
3 0

Interpreting the inequality, it is found that the correct option is given by F.

------------------

  • The first equation is of the line.
  • The equal sign is present in the inequality, which means that the line is not dashed, which removes option G.

In standard form, the equation of the line is:

x + 2y = 6

2y = 6 - x

y = -0.5x + 2

Thus it is a decreasing line, which removes options J.

  • We are interested in the region on the plane below the line, that is, less than the line, which removes option H.

------------------

  • As for the second equation, the normalized equation is:

3x^2 + 3y^2 = 12

3(x^2 + y^2) = 12

x^2 + y^2 = 4

  • Thus, a circle centered at the origin and with radius 2.
  • Now, we have to check if the line x + 2y - 6 = 0, with coefficients a = 1, b = 2, c = -6, intersects the circle, of centre x = 0, y = 0
  • First, we find the following distance:

d = \sqrt{\frac{|ax + by + c|}{a^2 + b^2}}

  • Considering the coefficients of the line and the center of the circle.

d = \sqrt{\frac{|1(0) + 2(0) - 6|}{1^2 + 2^2}} = \sqrt{\frac{6}{5}} = 1.1

  • This distance is less than the radius, thus, the line intersects the circle, which removes option K, and states that the correct option is given by F.

A similar problem is given at brainly.com/question/16505684

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Answer:

15*n=p

Step-by-step explanation:

4 0
3 years ago
Please help me IDk this at all!!!!
jasenka [17]
It would help if you find common denominator... 12
so 1/3 times 4 both the numerator and denominator
4/12

and 3/4 times by 3 both the numerator and denominator
9/12

the recipe calls for 4/12 cup of oil and you have 9/12

two batches would be 8/12 cups of oil, you have 9/12 that is just enough for the recipe for two batches...

now to simplify it again, 1/3 + 1/3 = 2/3 and 2/3 is less than 3/4 
the answer would be the upper right
3 0
3 years ago
Read 2 more answers
Algebra 1 help! •giving brainliest!
Alexxx [7]
Compound interest:

A=P\left(1+\dfrac rn\right)^{nt}

where P is the amount you start with, r is the interest rate, n is the number of times interest is compounded per year, and t is amount of time that passes.

4272\left(1+\dfrac{0.12}1\right)^{1\times3}=4272\times1.12^3\approx6001.85
8 0
3 years ago
What is the answer to the equation x squared minus 2x equals 15.
anzhelika [568]

Answer:

x = 5 \\ x =  - 3

Step-by-step explanation:

{x}^{2}  - 2x = 15 \\  {x}^{2}  - 2x - 15 = 0 \\  {x}^{2}   + 3x - 5x - 15 = 0 \\ x(x + 3) - 5(x + 3) = 0 \\ (x - 5)(x + 3) = 0 \\ x - 5 = 0 \:  \:  \:  \:  \: or \:  \:  \:  \: x + 3 = 0 \\ x = 5 \:  \:  \:  \: or \:  \:  \:  \:  \:  \: x =  - 3

7 0
3 years ago
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line? y=-3x+1
lorasvet [3.4K]

Answer:

y = -½x + 1 <em>actually</em>

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

-\frac{4 + 2}{6 - 2} =  - \frac{2}{4} =  -\frac{1}{2}

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y - 2 = -½(x + 2)

y - 2 = -½x - 1

+ 2 + 2

_______________

y = -½x + 1 >> Line in <em>Slope-Intercept Form</em>

__________________________________________________________

y - 4 = -½(x + 6)

y - 4 = -½x - 3

+ 4 + 4

______________

y = -½x + 1 >> Line in <em>Slope-Intercept</em><em> </em><em>Form</em>

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

*** Maybe one of your answer choices are off?

3 0
3 years ago
Read 2 more answers
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