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3 years ago

Find the coordinates of the midpoint of a segment having the given endpoints.

Mathematics

2 answers:

jonny [76]3 years ago

6 0

A) (6,1) is the midpoint of (1,-3) and (11,5)

BartSMP [9]3 years ago

3 0

X² + x¹ 11+1
--------- =. ------= 6
2. 2

y² + y¹. 5+(-3).
-------- = ---------- = 1
2. 2

So the midpoint is a) (6,1)

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Choose the model that represents the function

kirill [66]

Answer:

OPTION D

Step-by-step explanation:

We have to determine which option determines the function given above.

To determine the function, just substitute the values and compare LHS and RHS.

we have $f(4) = 18$

$f(-2) = -12$

$f(0) = -2$

$f(-3) = -17$

Here, $x$ is the domain and $f(x)$ is the co-doamin.

Therefore, $x = \{4, -2, 0, -3\}$

Now, OPTION A: $f(x) = 2x - 5$

Substitute x = 4. We get f(x) = 3 $\ne$ 18.

So, OPTION A is rejected.

Similarly, OPTION B: $f(x) = 5x + 2$

Substitute x = 4. We get f(4) = 22 $\ne$ 18.

It is rejected as well.

Now, for OPTION C: $f(x) = \frac{x}{2} - 5$

Substitute x = 4. We get f(4) = -3 $\ne$ 18.

So, OPTION C is also rejected.

OPTION D: $f(x) = 5x - 2$

Substitute x = 4. We get f(4) = 18.

Substitute the remaining points in domain as well. We notice that it exactly matches the given function. So, OPTION D is the answer.

8 0

3 years ago

Use the drawing tools to form the correct answers on the graph.

Dmitrij [34]

Answer:

$A(-8,-3),\ B(-4,-1),\ C(0,1),\ D(2,2),\ E(6,4)\\See \ the \ diagram.$

Step-by-step explanation:

$x=-8\\y=\frac{1}{2} \times (-8)+1=-3\\Point \ A(-8,-3)\\\\x=-4\\y=\frac{1}{2} \times (-4)+1=-1\\Point \ B(-4,-1)\\\\x=0\\y=\frac{1}{2} \times 0+1=1\\Point \ C(0,1)\\\\x=2\\y=\frac{1}{2} \times (2)+1=2\\Point \ D(2,2)\\\\x=6\\y=\frac{1}{2} \times (6)+1=4\\Point \ E(6,4)\\\\$