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Lesechka [4]
2 years ago
13

Point A is at (3, 4) and point M is at (1, 0). Point M is the midpoint of segment AB. What

Mathematics
1 answer:
kompoz [17]2 years ago
3 0

Answer:

B (-1 , -4)

Step-by-step explanation:

A (3 , 4)  

M (1 , 0)

B\left( x_{B},y_{B}\right)

M is the midpoint of segment AB means :

\begin{cases}\frac{x_{A}+x_{B}}{2} =x_{M}&\\ \frac{y_{A}+y_{B}}{2} =y_{M}}{} &\end{cases}

Then

\begin{cases}x_{B}=2x_{M}-x_{A}&\\ y_{B}=2y_{M}-y_{A}&\end{cases}

Then

\begin{cases}x_{B}=2\left( 1\right)  -3&\\ y_{B}=2(0)-4&\end{cases}

Then

\begin{cases}x_{B}=-1&\\ y_{B}=-4&\end{cases}

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Sammy has x flavors of candies with which to make goody bags for Frank's birthday party. Sammy tosses out y flavors, because he
harkovskaia [24]

Answer:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

Step-by-step explanation:

Total flavors Sammy initially had = x

Number of flavors Sammy throw away = y

After throwing away y flavors, the number of flavors Sammy will be left with = x - y

He needs to make 10-flavor bags from these (x - y) flavors. In order words he needs to chose 10 flavors for each bag from(x - y) flavors. The order of selection is not important here, so this is a problem of combinations. Also since we have to make selections or small groups, this also indicates that we have to use combinations.

So we need to make combinations of 10 flavors from a total of (x - y) flavors. This can be represented as ^{(x-y)}C_{10}

The formula for combinations is:

^{n}C_{r}=\frac{n!}{r!(n-r)!}

Using the values in this formula, we get:

^{(x-y)}C_{10}=\frac{(x-y)!}{10! \times (x-y-10)!}

7 0
3 years ago
Mr Tom shared $300 between his two sons aged 15 years and 10 years in
Sonbull [250]

Answer:

Son of 15 years $180

Son of 10 years $120

Step-by-step explanation:

15 + 10 = 25

   25          300

   15              x = 300*15/25

                    x = 180

   25          300

   10              x = 300*10/25

                    x = 120

Son of 15 years $180

Son of 10 years $120

3 0
4 years ago
Use the expression 5(6 + 4x) to answer the following: Part A: Describe the two factors in this expression. (4 points) Part B: Ho
slamgirl [31]

Answer:

A. 2 factors: 5 and (6+4x)

B. 5: 1 term  

(6+4x): 2 terms

C: The coefficient is 4

Step-by-step explanation:

The factors are the parts of expression separate by multiplications, so there are 2 factors: 5 and (6+4x)

The terms of each factor are the terms separate by the sign + or -. So the term of the factor 5 is 1 and the terms of the factor (6+4x) are 6 and 4x

The coefficient of the variable term is the number that is beside the variable. The coefficient of x is 4.

4 0
3 years ago
I need help I don’t understand :(
sveticcg [70]

Answer:

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Step-by-step explanation:

7 0
3 years ago
An equation for a line parallel to the line with equation y= 10x + 17
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To be parallel with that line the equation has to have the same slope as the equation given, like y = 10x + 3.

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4 years ago
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