Translate to an algebraic expression
1 answer:
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Answer:
9
Step-by-step explanation:
1. First, we need to set up an equation to find the value of x and then the length of EF.
2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of:
3. (Solving for x)
Step 1: Simplify both sides of the equation.
Step 2: Add 58 to both sides.
Step 3: Divide both sides by 7.
4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.
Therefore, the length of EF is 9.
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!
