The solution to the system of linear equations is: (−5, −11).
<h3>What is the Solution to the System of Linear Equations?</h3>
The solution to a system is the x and y -coordinates that satisfies the two linear equations.
Given the linear equations:
Line A: y = x − 6
Line B: y = 3x + 4
Now, equating these two equations
x - 6 = 3x + 4
2x = -10
x = -5
y = -11
Hence, the solution is: (−5, −11), because the point satisfies both equations.
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Answer:
P(-2,4)
Q(2,5)
R(-1,8)
Step-by-step explanation:
The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.
Answer: The value of x is 13 cm.
Explanation:
It is given that the length and width of the rectangle are 12 cm and 9 cm.
Use pythagoras to find the value of the diagonal.
It is given that the diagonal is labeled as 2x-11.
Divide both side by 2.
Therefore, x = 13cm.
Answer: 86.4
Step-by-step explanation:
add 30.2+26.2+55+17+8=136.4 not to the answer 25+25=50 then subtract both
Answer:
Interest earned= $200
Step-by-step explanation:
Giving the following information:
Initial investment= $20,000
Interest rate= 3%
Inflation rate= 2%
First, we need to calculate the real interest rate. <u>The inflation rate decreases the value of money through time. We need to deduct from the interest rate, the inflation rate.</u>
Real interest rate= 0.03 - 0.02= 0.01
<u>Now, we can calculate the interest earned in year 1:</u>
Interest earned= PV*(1+i)^n - PV
Interest earned= 20,000*(1.01^1) - 20,000
Interest earned= $200
