Answer:
infinite number of solutions
Step-by-step explanation:
A dependent system is where the two equations are the same line has has an infinite number of solutions
Answer:
Step-by-step explanation:
A dependent system of equations has an infinite number of solutions.
When you graph the system of equations, both the equations represent the same line and have an infinite number of solutions.
Answer:
Kevin makes $12.50 per hour.
Step-by-step explanation:
If Kevin works 6.5 hours on Monday and 5 hours on Tuesday, he works a total of 11.5 hours. Over 11.5 hours he makes $143.75. To find your answer, you have to divide your total earned, 143.765, by the total time worked, 11.5 hours. Your answer should then be 12.5, which is the amount per hour kevin earns.
66
32
29
43
Answer:
The correct answer is x = 32.
Step-by-step explanation:
To solve this problem, we must remember the concept of supplementary angles. Two angles that are supplementary together make an angle of 180 degrees (a straight line).
In this case, we can see that inside the triangle, we will have an angle of 80 degrees. We know this because the angle at the top of the triangle is supplementary with the angle measuring 100 degrees, so its measure should be 180-100 = 80 degrees.
On the lower right hand of the triangle, a similar rationale can be applied. The angle inside of the triangle must measure 68 degrees, since it is supplementary to an angle measuring 112 degrees, and 180-112=68.
Finally, to solve this problem, we must remember that the sum of the three interior angles of a triangle should be 180 degrees. This lets us set up the following equation:
80+68+x = 180
Now, we can solve this equation. Our first step is to simplify the left side of the equation by adding together the constant terms.
148 + x = 180
Next, we should subtract 148 from both sides of the equation.
x = 180-148
x = 32
Therefore, the correct answer is x = 32 degrees.
Hope this helps!
Answer:
A
Step-by-step explanation:
P^T is transpote matrix. So the rows of matrix P you write like columns in P^T.
So we have first row: 2, 5, it will be firsl column
2nd row: 8,1 will be 2nd column.
It is matrix:
2 8
5 1
This is matrix a)
Answer:
Amount = Initial value × (1 + rate of interest)^years and 374
Step-by-step explanation:
The formula to determine the student population and the estimated student population is given below:
As we know that
Amount = Initial value × (1 + rate of interest)^years
= 284 × (1 + 0.04)^7
= 284 × 1.04^7
= 373.72
= 374
Answer:
Step-by-step explanation:
The general equation of the circle is:
(x-h)²+(y-k)²=r²
(h, k)=(-3,-5) are the coordinates of the center of the circle.
r=6 is the radius
The equation of the circle is:
(x+3)²+(y+5)² = 36