Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
Answer:
The equation is y = -2/5x + 4
Step-by-step explanation:
First we have to find the slope of the line. In order to do so, solve the first equation for y.
2x + 5y = 20
5y = -2x + 20
y = -2/5x + 4
This gives us a slope of -2/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.
y - y1 = m(x - x1)
y - 6 = -2/5(x - -5)
y - 6 = -2/5(x + 5)
y - 6 = -2/5x - 2
y = -2/5x + 4
Answer:
Angle DEG
Step-by-step explanation:
Answer: 3/8
Explanation: To subtract unlike fractions such as 5/8 - 1/4, first find a common denominator. The common denominator of 8 and 4 will be the least common multiple of 8 and 4 which is 8.
Notice that our first fraction already has 8 in the denominator so it stays the same. To get 8 in the denominator of 1/4, we multiply the numerator and denominator by 2 to get 2/8.
Now we have 5/8 - 2/8.
To subtract like fractions, we simply subtract the numerators to get 3 and keep our denominator of 8 and we have 3/8.
Since 3/8 is in lowest terms, it's our final answer.
Therefore, 5/8 - 1/4 = 3/8.
Multiply 40.5 by 800
you get 32400
then divide by 100 to get to meters
324 meters
