Answer:
Step-by-step explanation:
first, we find the slope
slope = (y2 - y1) / (x2 - x1)
(-3,7)....x1 = -3 and y1 = 7
(9,-1)...x2 = 9 and y2 = -1
now we sub
slope(m) = (-1 - 7) / (9 - (-3) = -8 / (9 + 3) = -8 / 12 reduces to - 2/3
y = mx + b
slope(m) = -2/3
use either of ur points...I will use (-3,7)...x = -3 and y = 7
now we sub and find b, the y intercept
7 = -2/3(-3) + b
7 = 2 + b
7 - 2 = b
5 = b
so ur equation is : y = -2/3x + 5 <===
The answer would be A. When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and neither numerator determinant is zero, then the system has infinite solutions. It would be hard finding this answer when we use the Cramer's Rule so instead we use the Gauss Elimination. Considering the equations:
x + y = 3 and <span>2x + 2y = 6
Determinant of the equations are </span>
<span>| 1 1 | </span>
<span>| 2 2 | = 0
</span>
the numerator determinants would be
<span>| 3 1 | . .| 1 3 | </span>
<span>| 6 2 | = | 2 6 | = 0.
Executing Gauss Elimination, any two numbers, whose sum is 3, would satisfy the given system. F</span>or instance (3, 0), <span>(2, 1) and (4, -1). Therefore, it would have infinitely many solutions. </span>
Answer:
A = $ 50,978.44
Step-by-step explanation:
First, convert R percent to r a decimal
r = R/100
r = 5%/100
r = 0.05 per year,
Then, solve our equation for A
A = P(1 + r/n)nt
A = 45,000.00(1 + 0.004166667/12)(12)(2.5)
A = $ 50,978.44
Answer:
It took Pedro <em>3.81 hours</em> to reach the lake.
Step-by-step explanation:
Time taken by Mike to hike a lake = 4.5 hours
Average rate of Mike while hiking the lake = 
Formula for distance can be seen as:
Distance traveled by Mike = 
Rate of Pedro while hiking the same distance = 
Given that, Pedro also travels the same distance.
And we have to find the Time.
It took Pedro <em>3.81 hours</em> to reach the lake.
Answer:
14168
Step-by-step explanation:
322 x 44 = 14168
hope this helps!
