Answer:
x=
2
3
=1.500
Step-by-step explanation:
(((7•(x-2))-3x)+5)-((0-2•(5x-4))+4) = 0
STEP
2
:
Equation at the end of step 2
((7 • (x - 2) - 3x) + 5) - (12 - 10x) = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
14x - 21 = 7 • (2x - 3)
Equation at the end of step
4
:
7 • (2x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 7 = 0
This equation has no solution.
A non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500
<h3>Given</h3>
tan(x)²·sin(x) = tan(x)²
<h3>Find</h3>
x on the interval [0, 2π)
<h3>Solution</h3>
Subtract the right side and factor. Then make use of the zero-product rule.
... tan(x)²·sin(x) -tan(x)² = 0
... tan(x)²·(sin(x) -1) = 0
This is an indeterminate form at x = π/2 and undefined at x = 3π/2. We can resolve the indeterminate form by using an identity for tan(x)²:
... tan(x)² = sin(x)²/cos(x)² = sin(x)²/(1 -sin(x)²)
Then our equation becomes
... sin(x)²·(sin(x) -1)/((1 -sin(x))(1 +sin(x))) = 0
... -sin(x)²/(1 +sin(x)) = 0
Now, we know the only solutions are found where sin(x) = 0, at ...
... x ∈ {0, π}
Answer:
15/4 and 45/4
Step-by-step explanation:
Let x and y be the numbers
x = 3y
x+ y = 15
Substitute the first equation in to the second equation
3y+y = 15
4y = 15
y = 15/4
x = 3(15/4)
x = 45/4
The two numbers are 15/4 and 45/4
Answer:
<h3>
(base)² + (altitude)² = (hypotenuse) ²</h3>
Therefore,
2²+5² = c² will be matched.
