Y stays the same unless you have another y then you add that with 14
Answer:
<em>Image: (-7,3)</em>
Step-by-step explanation:
<u>Reflections In The Coordinate Plane
</u>
<em>Reflect over the line y = x:
</em>
When reflecting a point across the line y = x, the x-coordinate, and y-coordinate change places.
Thus, the point (3,-7) maps to the point (-7,3) when reflected over y=x.
Answer:
The highest number that divides each of the two or more numbers is the HCF or Highest Common Factor.
Step-by-step explanation:
Example: What is the HCF of {12,42,14}
Answer: The HCF is 2 as the biggest number they can all be divided by is 2. {12,42,14} = {2^2*3,2*3*7,2*7} The factors in each number is 2.
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:
y = all real numbers
x = all real numbers
In set notation/interval notation;
y∈(-∞,∞)
x∈(-∞,∞)
Step-by-step explanation:
1. Background information
The process of elimination involves manipulating an equation such that when the equations in the system are added, one variable is eliminated. Then one can solve for the other variable, finally, one substitutes the answer back in to find the eliminated variable. Therefore solving the system of equations.
2. The given information
Given the system;
(1) 4x + 5y = 4
(2) 8x + 10y = 8
3. Solving
Multiply the first equation by (-2)
4x + 5x = 4
*-2 *-2
-8x - 10x = -8
Add the first and second equations.
-8x - 10y = -8
+ ( 8x + 10y = 8 )
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0
This means that y can be any real number, and hence x can be any real number.
