Answer:
The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2) is y = 3/4x + 1.
Step-by-step explanation:
3x - 4y = 7 and (-4, -2)
First, solve for y in the equation:
3x - 4y = 7
-4y = -3x + 7
4y = 3x - 7
y = 3/4x - 7/4
m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)
Use the point-slope equation to find the equation that will best represent a parallel line:
y − y1 = m(x − x1)
y - -2 = 3/4(x - -4)
y + 2 = 3/4x + 3 (the 4s cancel out)
(3/4 x 4/1 = 3)
y = 3/4x + 1
The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!
Answer:
This organism has many bright orange spikes on it's back. It had two antennas on its head. And is a mix of blue and purple for its body. Its body is skinny and long.
Step-by-step explanation:
9514 1404 393
Answer:
A. 2,3,4
D 3,4,5
Step-by-step explanation:
In order for segment lengths to be able to form a triangle, the sum of the shortest two must exceed the longest.
A. 2,3,4 . . . 2 + 3 > 4 . . . can make a triangle
B. 2,3,5 . . . 2 + 3 = 5 . . . not a triangle
C. 2,3,6 . . . 2 + 3 < 6 . . . not a triangle
D 3,4,5 . . . 3 + 4 > b . . . can make a (right) triangle
E. 3,4,8 . . . 3 + 4 < 8 . . . not a triangle
Answer:
x = 32
Step-by-step explanation:
Given the following data;
Unknown number = x
Translating the word problem into an algebraic equation, we have;
Lowest common denominator (LCD) = 2
We multiply all through by 2;
x = 32
Therefore, the unknown number is 32.