Answer:
x = 3/2
Step-by-step explanation:
2(x + 5) = 6x + 4
Open bracket first
2 × x + 2×5 = 6x + 4
2x + 10 = 6x + 4
Rewrite equation
6x + 4 = 2x + 10
Subtract 2x from both sides
6x - 2x + 4 = 2x - 2x + 10
4x + 4 = 10
Subtract 4 from both sides
4x + 4 - 4 = 10 - 4
4x = 6
Divide both sides by 4
4x/4 = 6/4
x = 6/4
Divide both denominator and numerator by 2
x = (6/4) ÷ 2
x = 3/2
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Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0
As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81
Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2
So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2
A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.
3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.
So 2k^2 = 9 + 3k have two rational solutions (Option B).
Hope this Helps! :)
Answer:
28/36 shd give u the answer
answer in 1:ur answer
Correct option B)
.
<u>Step-by-step explanation:</u>
We have the following figure attached as shown below.
Now, this triangular prism have 2 similar right angled surfaces and 3 rectangular surfaces , Let's calculate area for all of them:
2 similar right angled surfaces
We know that area of triangle = 
⇒ 
⇒ 
⇒ 
But there 2 such surfaces so , 
3 rectangular surfaces
Area of rectangle = 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Total area =
Adding area of 2 similar right angled surfaces & 3 rectangular surfaces:
=
Correct option B) .
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
4(x - 2) = 3x + 1
Step 2: Solve for <em>x</em>
- <u>Distribute 4:</u> 4x - 8 = 3x + 1
- <u>Subtract 3x on both sides:</u> x - 8 = 1
- <u>Add 8 to both sides:</u> x = 9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
- <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
- <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
- <u>Multiply:</u> 28 = 27 + 1
- <u>Add:</u> 28 = 28
