What is the value of x in the equation 5(3x + 4) = 23?
2 answers:
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Answer:
The midpoint of the line segment is located at (-4, 4).
Step-by-step explanation:
We're given the coordinate points of a line that can help us find the midpoint.
The midpoint formula for a line is written as:
Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.
In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.
Therefore, we can label our two coordinates:
<u>(5, -4)</u>
- x₁ = 5
- y₁ = -4
<u>(-13, 12)</u>
- x₂ = -13
- y₂ = 12
Now, we can place these values into the midpoint formula and simplify to find our midpoint.
Recall that the midpoint formula is:
Therefore, let's substitute these values.
Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.
Answer:
Axis of symmetry is
C) x = 1
Step-by-step explanation:
we are given equation as
we can use axis of symmetry formula
Let's assume we are given quadratic equation as
Axis of symmetry is
now, we can compare both equations
and we get
now, we can find axis of symmetry
