Answer:
x = 4
Step-by-step explanation:
8/72 = x/36
crossmultiply
8 x 36 = X x 72
288 = 72x
divide both sides by 72
288/72 = x
therefore , x = 4
Answer:
x=1/3 or x=−2
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Step-by-step explanation:
Step 1: Add 2 to both sides.
3x^2+5x−2+2=0+2
3x^2+5x=2
Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x^2+5x/3=2/3
x^2+5/3x=2/3
Step 3: The coefficient of 5/3x is 5/3. Let b=5/3.
Then we need to add (b/2)^2=25/36 to both sides to complete the square.
Add 25/36 to both sides.
x^2+5/3x+25/36=2/3+25/36
x^2+5/3x+25/36=49/36
Step 4: Factor left side.
(x+5/6)^2=49/36
Step 5: Take square root.
x+5/6=±√49/36
Step 6: Add (-5)/6 to both sides.
x+5/6+ −5/6=
−5/6±√49/36x=−5/6±√49/36x=
1/3 or x=−2
Answer:
Step-by-step explanation:
b(a + 1) + a = b*a + b + a = ab + b + a
1) b(2a +1 ) = b*2a + b*1 = 2ab + b Not equivalent.
2)a + (a +1)*b = a + ab+ b Equivalent
3) (a +1)(b+ a) = a*(b +a) + 1*(b+a) = ab+ a² +b + a Not equivalent.
4) (a + 1)b + a = ab+ b + a Equivalent
5) a + b(a+1) = a +ab + b Equivalent
6) a + (a +1) + b = a + a + 1 + b = 2a + 1 +b Not equivalent.
7) a(b +1) + b = ab + a + b Equivalent
In the half-angle formula for sine and cosine, notice that a plus/minus sign appears in front of each radical (square root). Whether your answer is positive or negative depends on which quadrant the new angle (the half angle) is in
We know, distributive property: a(b + c) = ab + ac
4(x + 2) = 4x + 8
In short, Your Answer would be Option B
Hope this helps!
