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skad [1K]
3 years ago
13

A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: ( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )

So perpendicular bisector of this line  is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y  =  −1/3x+17/3

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Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.
Sloan [31]

Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.

Explanatio: This can be found by looking at the basic form of vertex form:

y = (x - h)^2 + k

In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).

It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3

i hope this helps u

4 0
3 years ago
On a graph what are the points on the equation 3x+2y=6
Igoryamba
(4,-3) hope this helps

4 0
4 years ago
A unit rate is a value compared to how many units
Aloiza [94]

Answer:

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour

Step-by-step explanation:

Ex: If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

120/3 = 40/1

The unit rate of 120 students for every 3 buses is 40 students per bus. You could also find the unit rate by dividing the first term of the ratio by the second term.

8 0
3 years ago
Help with these two and explain pls and thankyouuu
Usimov [2.4K]

Answer:

3-3x and 3

Step-by-step explanation:

f(x) = 3x-3

g(x) = -x

g(f(x)) in your g(x) substitute x with f(x)

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is the the second choice from top because -3x+3 is the same with 3 -3x

g(f(x)) =3-3x

g(f(0)) always work from inside first, so first find f(0) than g(f(0))

f(0) = f(x=0) = 3*0-3 = -3

Now we do the g(f(0)) = g( -3) is the same as  

g(x) except that we substitute x for -3, g(x= -3) = -(-3) =3

g(f(0))=3

*an easier way to find the answer for the second problem would have been that we knew that f(g(x) ) = 3-3x so f(g(0)) =3-3*0 = 3

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4 years ago
RETOUR SUR LE MODULE 1
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Answer:

iareeg

Step-by-step explanation:

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