Answer:
Yes
Step-by-step explanation:
In the first equation, sub in (-3x/2) for y:
3x+4y=12
3x+4(-3x/2)=12
3x-(12x/2)=12
3x-6x=12
-3x=12
x=-4
y=-3x/2
y=-3(-4)/2
y=12/2
y=6
Since x=-4 and y=6, (-4,6) is a solution.
<em>Since we are given with the three sides of the triangle and asked to determine the angle, we can use the cosine law.</em>
<em> b² = a² + c² - 2ac(cosB)</em>
<em>Substituting the known values,</em>
<em> (1.8)² = (2.4)² + (1.6)² - 2(2.4)(1.6)(cosB)</em>
<em>The value of B from the equation is 48.6°. </em>
Answer: n(7)+3=10
Explanation: 7+3 equals 10
Answer: C.) 3 to the power of negative two, 1.3 x 10 to the power of negative one, 1/3, and 3 squared.
Step-by-step explanation:
3 to the power of negative 2 = 0.11111111111
3 squared is 1.73205080757
1.3 x 10 to the power of negative 1 = 0.13
1/3 converted to a decimal is 0.333
Now that we know what everything equals we know that anything that doesn't start with 3 squared is right and a little cheat is that only one of them start with 1/3 so we know that the second biggest is 1/3 so it is C.) 3 to the power of negative two, 1.3 x 10 to the power of negative one, 1/3, and 3 squared.
Step 1:
Solve one of the equations for either x = or y = .
Step 2:
Substitute the solution from step 1 into the other equation.
Step 3:
Solve this new equation.
Step 4:
Solve for the second variable.
Example 1: Solve the following system by substitution
Substitution Method Example
Solution:
Step 1: Solve one of the equations for either x = or y = . We will solve second equation for y.
solution step 1
Step 2: Substitute the solution from step 1 into the second equation.
solution step 2
Step 3: Solve this new equation.
solution step 3
Step 4: Solve for the second variable
solution step 4
The solution is: (x, y) = (10, -5)
Hope this helps!
