Answer:
y = 5x+3
Step-by-step explanation:
a general line is represented by the equation:
y = mx + n
a line with m=5, that goes through (-1,-2), should satisfy the equation:
-2 = 5×(-1) + n
this is because any point on the line, satisfies it's equation.
from this we get n = 3, hence our answer
Answer:
The answer is b. 4*3 2/5.
Step-by-step explanation:
It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
Answer: 1) Perpendicular
2) Concurrent
Step-by-step explanation:
The distance from a point to a line is the length of the perpendicular segment from the point to the line.
As Perpendicular segment is the shortest distance to the point of the line.
When three or more lines intersect at one point, they are concurrent.
Because Concurrent is a situation when three or more lines intersect each other at a single point.
