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enot [183]
2 years ago
12

What is the solution of the system?

Mathematics
2 answers:
damaskus [11]2 years ago
7 0
3x +2y= 11 ----1
x -2 = -4y   ---- 2

Equation 2 times by 3
3x -6 = -12y

Subracting 2-1
3x-6=-12y
3x-11=-2y

Leaving 
5=-10y
y= -1/2

Hence 
B. is the solution

PS, If you rate this as "Brainiest" that would be most appreciated

Rama09 [41]2 years ago
3 0
X - 2 = -4y
x = -4y + 2
Now, substitute the value of x in first equation, 
3(-4y+2) + 2y = 11
-12y + 6 + 2y = 11
-10y = 5
y = -1/2

Now, substitute the value of y in 2nd equation, 
x = -4(-1/2) + 2
x = 2 + 2 = 4

In short, Your Answers are x = 4 and y = -1/2, Which is Option B

Hope this helps!
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Perimeter of quadrilateral
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Answer:

The answer to your question is:  14 + 2√40  = 26.6 units

Step-by-step explanation:

Data

A ( -5, 4)     B (-3, -2)     C (4, -2)     D (2, 4)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Perimeter = dAB + dBC + dCD + dAD

Process

dAB = √(-3 + 5)² + (-2 - 4)²

dAB = √(2)² + (-6)²

dAB = √4 + 36

dAB = √40 units

dBC = √(4 + 3)² + (-2 + 2)²

dBC = √(7)²

dBC = √49

dBC = 7 units

dCD = √(2 - 4)² + (4 + 2)²

dCD = √(2)² + (6)²

dCD = √40 units

dAD = √(2 + 5)² + (4 - 4)²

dAD = √49

dAD = 7 units

Perimeter = √40 + 7 + √40 + 7

Perimeter = 14 + 2√40  = 26.6 units

3 0
3 years ago
What is the solution to the equation below round your answer to two decimal decimal places log4 x=2.1
nekit [7.7K]

Answer:

B

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.264

x = 10^(1.264)

x = 18.38 (to two d.p)

8 0
2 years ago
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Inessa05 [86]

Answer:

Meee :)

Step-by-step explanation:

what do you need help with?

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Jake has 6 quarters 2 dimes and a nickel does he have enough to buy a dog bone that costs 1.49?
Darina [25.2K]

Answer:

Jake does have enough to buy a dog bone that cost $1.49

Step-by-step explanation:

6 quarters = $1.50

2 dimes = $0.20

1 nickel = $0.05

So add it all together: $1.50 + $0.20 + $0.05 = $1.75

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2 years ago
If you vertically stretch the exponential function f(x)= 2^x by a factor of 4 what is the equation of the new function
GuDViN [60]

ANSWER

f(x) = 4( {2})^{x}

EXPLANATION

Given the exponential function,

y = f(x)

Then the function

y =a f(x)

is stretched vertically by a factor of 'a' units, for a>0.

Based on this, if a=4 and

f(x) =  {2}^{x}

Then the equation of the new function is

f(x) = 4( {2})^{x}

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2 years ago
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