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Iteru [2.4K]
2 years ago
15

This is almost the last one

Mathematics
1 answer:
Kamila [148]2 years ago
5 0
The answer is 4 because the portion labelled J shows a constant function but is not at the starting point
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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i
Levart [38]

Answer: (a) (x_{2},y_{2}) = (3,2)

              (b)  (x_{2},y_{2}) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

x_{m}=\frac{x_{1}+x_{2}}{2}

y_{m}=\frac{y_{1}+y_{2}}{2}

Isolating x_{2}:

2x_{m}=x_{1}+x_{2}

x_{2}=2x_{m}-x_{1}

And y_{2}:

2y_{m}=y_{1}+y_{2}

y_{2}=2y_{m}-y_{1}

(a) Replacing values and calculating x_{2}:

x_{2}=(2*2)-1

x_{2}=3

Calculating y_{2}:

y_{2}=[2*(-1)]-(-4)

y_{2}=2

(x_{2},y_{2})=(3,2)

(b) x_{2}=(2*5)-(-9)

x_{2}=19

y_{2}=(2*6)-19

y_{2} = -7

(x_{2},y_{2})=(19,-7)

8 0
3 years ago
Read 2 more answers
What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4
mart [117]
Hello,

P(x)=x^3-7x-6

P(4)=4^3-7*4-6=30
Remainder=30

6 0
3 years ago
How do you the equation of the line that passes through x-intercept (–8, 0) and undefined slope?
kifflom [539]
If the slope is undefined, then your line is a vertical line since vertical lines can have no slope (they don't have any lateral movement). Because it must pass through (- 8, 0), x must = - 8.

Your equation is x = - 8
8 0
3 years ago
There is a bag with 50 popsicles inside. 5
Mkey [24]

Answer: \frac{6}{25}

In this case, we're asked to pick one of 12 blue popsicles out of a bag of 50 – from this, we can just write that the probability of picking a blue popsicle is 12/50. Simplifying this, we can divide both the numerator and denominator by 2 to get our final answer of  \frac{6}{25}

Hope this helped you!

Step-by-step explanation:

5 0
3 years ago
How would you describe the relationship between the real zeros and x-intercepts of the function y = log (x-2)?
lakkis [162]

Answer:

When you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3.

Step-by-step explanation:

The given function is y=\log (x - 2).

So, for real zeros and x-intercept, the y-coordinate must be equal to zero.

Then it becomes 0 = \log (x-2)

⇒ x - 2 = 1 {Since log 1 = 0}

⇒ x = 3

Therefore, when you set the function equal to zero, the solution is x = 3; therefore, the graph has an x-intercept at x = 3. (Answer)

3 0
3 years ago
Read 2 more answers
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