What is the GCF of 30 and 45? What is the LCM of 3 and 8?
1 answer:
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Answer:
<u>Third Option</u>:
Step-by-step explanation:
Given the points on the graph, (4, 5) and (-4, -5):
In order to determine the equation of the given graph in slope-intercept form, y = mx + b:
Use the given points to solve for the slope:
Let (x₁, y₁) = (-4, -5)
(x₂, y₂) = (4, 5)
m = (y₂ - y₁)/(x₂ - x₁)
Therefore, the slope of the line is: .
Next, use one of the given points on the graph, (4, 5) to solve for the y-intercept, b:
y = mx + b
5 = + b
5 = 5 + b
5 - 5 = 5 - 5 + b
0 = b
Therefore, the linear equation in slope-intercept form is: . The correct answer is Option 3.
Answer:
.
Step-by-step explanation:
Two vectors and
are parallel to one another if and only if the ratio between their corresponding components are equal:
.
Equivalently:
.
For the two vectors in this equation to be parallel to one another:
.
Solve for :
.
would be the only valid value of
; no other value would satisfy the
equation.