Let's represent that number as X:
6(9+2X) = 5X + 12
54 + 12X = 5X + 12
7X = -42
X = -6
Answer:
The solution of the given equations are (3,2).
Step-by-step explanation:
Given equations are :
3d−e=7 ...(1)
d+e=5 ...(2)
Add equations (1) and (2) we get :
3d-e+d+e=7+5
4d = 12
d = 3
Put the value of d in equation (2).
3+e=5
e = 2
So, the value of d = 3 and e = 2. Solution of the given equations are (3,2).
Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
Answer:
No.
Step-by-step explanation:
If we combine all like terms first on the left, then the right-
We will have a solution of
-8+12b=12b-14
This is not true, therefore, 8b−10+b+3b+2=7+2b+10b−18−3 does not have a solution.
(DM or comment for further explanation)
