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12345 [234]
4 years ago
14

Solve the following system of equations:3x − 2y = 66x − 4y = 12

Mathematics
1 answer:
xz_007 [3.2K]4 years ago
8 0
3x - 2y = 66
x - 4y = 12....multiply by -3
---------------
3x - 2y = 66
-3x + 12y = - 36 (result of multiplying by -3)
---------------add
10y = 30
y = 30/10
y = 3

3x - 2y = 66
3x  - 2(3) = 66
3x - 6 = 66
3x = 66 + 6
3x = 72
x = 72/3
x = 24

solution is : (24,3)
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*****WILL GIVE BRAINLEST IF CORRECT******
PSYCHO15rus [73]

Conner's work is correct. To combine and make it simple, you Multiply:

(3^5+9)+(6^8+10) which will equal 3^14 6^18.

But Jane's work, instead of adding, Jane multiplies. So, Conner is correct.

Hope that helped!

5 0
3 years ago
The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta
max2010maxim [7]

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

v = \frac{ds}{dt} = 6 sin(2t) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

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4 0
4 years ago
What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?
JulsSmile [24]
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5 0
4 years ago
Read 2 more answers
The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of
Natalka [10]
The measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches

Let x = length of base and leg

The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)
Where: b = base

       P = b₁ + b₂ + 2(leg)
     28 = 3x + 5x + 2(x)
     28 = 8x + 2x
28/10 = 10x/10
    2.8 = x

Now, substitute the values:
       P = b₁ + b₂ + 2(leg)
     28 = 3(2.8) + 5(2.8) + 2(2.8)
     28 = 8.4 + 14 + 5.6
     28 = 28

Hence the measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches
8 0
3 years ago
If f(x)=3x^2+1 and g(x) =1-x, what is the truly value of (f-g)(2)
Lilit [14]

Answer:

14

Step-by-step explanation:

f(x)=3x²+1

f(2) = 3 x 2² + 1 = 13

g(x) =1-x

g(2) = 1 - 2 = -1

(f-g)(2) f(2) - g(2) = 13 - (-1) = 14

8 0
3 years ago
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