Option A
<u>Answer:
</u>
The value of x in the equation 2(x - 3) + 5x = 5(2x + 6) is -12
<u>Solution:
</u>
From question given that
2(x - 3) + 5x = 5(2x + 6)
Open the brackets,
2x – 6 + 5x = 10x + 30
Rewrite the above equation,
2x + 5x – 6 = 10x + 30
On simplifying the above equation, we get
7x – 6 = 10x + 30
Now adding 6 on both sides,
7x – 6 + 6 =10x + 30 + 6
7x = 10x + 36
On subtracting 10x on both sides,
7x - 10x = 10x + 36 - 10x
-3x = 36
On dividing -3 on both sides,
x = -12
Hence on simplifying 2(x - 3) + 5x = 5(2x + 6) we get value of x is -12. Hence Option (A) is correct.
Answer:
id
Step-by-step explanation:
Answer:
31/30
Step-by-step explanation:
-3 3/10+4 1/3
-3 9/30+4 10/30
31/30
X, y - the numbers
The numbers multiply to 100.
The numbers add up to -29.
Substitute -x-29 for y in the first equation:
The numbers are
-4 and
-25.
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
