1. 3x+3y=15
-3y = -3y (subtract 3y from both sides)
3x = 15-3y
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3 = 3 3 (divide each number by 3)
x = 5- y
Answer
5/48, 3/16, 0.5, 0.75
Step-by-step explanation:
Answer:
It should be "adaptation and reconciliation".
Answer:
4)x=2
5) (-3,4)
Step-by-step explanation:
4) f(x)=x^2-4x+4-4+5
f(x)=(x-2)^2+1
f(x)=a(x-h)^2+k
Axis of symmetry is x=h
h is 2, so axis of symmetry is x=2
5) f(x)=x^2+6x+9-9+13
f(x)=(x+3)^2+4
f(x)=a(x-h)^2+k
Vertex is (h,k)
So, vertex is (-3,4)
Sorry, I can't answer the first 3, cause I don't understand what a-value, b-value and c-value mean.
And also is this college math, cause I'm in middle-school, and I know how to do it.
Answer:

Step-by-step explanation:
So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.
First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

Plug -2 for one of the slopes.

Divide by -2 to find the slope of our line.

Thus, our line needs to have a slope of 1/2.
Now, let's use the point-slope form. The point-slope form is given by:

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

Simplify and distribute:

Subtract 4 from both sides:

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.