6v^2+13v-8= −3 solve the equation for all real solutions
1 answer:
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Answer:
d= 19.4units
Step-by-step explanation:
Given coordinates:
D(15,6) and E (-4, 2);
Unknown:
Distance between the two points = ?
Solution:
To solve this problem, the distance between two points can be found using the expression below:
d =
x₁ = 15
x₂ = -4
y₁ = 6
y₂ = 2
Insert the parameters and solve;
d =
d =
d =
d =
d= 19.4units
T = (2, 3)
to find T, the point of intersection of the 2 lines, solve the 2 equations simultaneously.
x + y = 5 → (1)
2y - 5x = - 4 → (2)
from (1) y = 5 - x
substitute y = 5 - x into equation (2)
2(5 - x) - 5x = - 4
10 - 2x - 5x = - 4
10 - 7x = - 4
subtract 10 from both sides
- 7x = - 4 - 10 = - 14
divide both sides by - 7
x = = 2
substitute x = 2 into equation (1)
2 + y = 5 ⇒ y = 5 - 2 = 3
thus T = (2, 3)