Answer:
The system has one solution
Step-by-step explanation:
we have the system of equations
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
Multiply by 3 both sides to remove the fraction
Combine like terms
Simplify
<em>Find the value of y</em>
Simplify
The solution of the system is the point
therefore
The system has one solution
The linear functions are:
y = 6x - 2
x + y = 12
y = x
The non-linear functions are:
y = 3x³ + 5
y = x² - 33
Explanation:
Linear functions can be written in the form y = mx+b, where m is the slope and b is the y-intercept. In linear functions, the x variable has at highest an exponent of 1.
The first equation, y = 6x - 2, is in slope-intercept form; it is linear.
The second equation, y = 3x³ + 5, has an x with an exponent greater than 1; it is non-linear.
The third equation, y = x² - 33, has an x with an exponent greater than 1; it is non-linear.
The fourth equation, x + y = 12, can be written as y=mx+b:
x+y=12
Subtract x from both sides:
x+y-x=12-x
y = -x+12
This is a <span><u><em>linear </em></u></span>function.
The <u>fifth </u>equation, y = x, is in the form y=mx+b; in this case, m=1 and b=0. This is <u><em>linear</em></u>.
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AnswerS :
1. Tan Z = p / b = 21/28
2. Cos C = b / h = 16 / 34 = 8/17
3. Sin C = p/ h = 28/35
4. Tan X = p / b = 32/24 = 16 / 12
5. cos A = b / h = 30/34 = 15 / 17
6. Sin A = p / h = 32/40 = 16/20
7. sin Z = p / h = 24 / 40 = 12 / 20
8. sin C = p / h = 14 / 50 = 7 / 25
RemembeR :
- Sin θ = Perpendicular / Height
- Tan θ = Perpendicular / Base
- HappY LearninG (≧▽≦)
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[1 / 8] ÷ [3 / 4]
<span>When dividing fractions, multiply the first fraction by the reciprocal of the second fraction. </span>
<span>So, [1 / 8] ÷ [3 / 4] = [1 / 8] × [4 / 3] </span>
<span>From there, multiply as you would normally. Then reduce it to lowest terms. </span>
<span>4 / 24 = 1 / 6 </span>
<span>Therefore, the answer is 1 / 6.</span>
1760/40 = 44
He covered 44 ft^2 per lb.
2640/60 = 44
Again, he covered 44 ft^2 per lb.
In both cases, he covered 44 square feet per pound.
To cover 4480 sq ft, he needs:
4480/44 = 101.818181... = 101 9/11 pounds