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eimsori [14]
3 years ago
6

Help with #7 and #8?

Mathematics
1 answer:
arsen [322]3 years ago
5 0

Answer:

M(6,5) and G(2,9)

Step-by-step explanation:

m = ( \frac{x1 + x2}{2}, \frac{y1 + y2}{2} )

B(3,6)

C(9,4)

m = [(3+9)/2 , (6+4)/2]

= (6,5)

M(5,9)

H(8,9)

G(x,y)

[(x+8)/2 , (y+9)/2]=(5,9)

(x+8)/2 = 5

x+8 = 10

x = 2

(y+9)/2 = 9

y+9 = 18

y = 9

G(2,9)

(Correct me if i am wrong)

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What is the slope pls help
Galina-37 [17]

Answer:

y=.5x+-2.5

Step-by-step explanation:

This is the linear equation (y=mx+b) m means slope so your slope is .5.

7 0
3 years ago
B is the midpoint of AC, AB=5x and BC=2x+9 find AB,BC, and AC
german

Answer:

Step-by-step explanation:

5x  = 2x + 9

3x = 9

x = 3

AB= 5(3)= 15

BC= 2(5) + 9= 10 + 9 = 19

AC= 15 + 19 = 34

8 0
3 years ago
Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number
evablogger [386]

Answer:

23.3 is the answer to this question

3 0
3 years ago
Arm Span(x) Height(y)
natita [175]

Answer:

Here's what I get.

Step-by-step explanation:

1. Representation of data

I used Excel to create a scatterplot of the data, draw the line of best fit, and print the regression equation.

2. Line of best fit

(a) Variables

I chose arm span as the dependent variable (y-axis) and height as the independent variable (x-axis).

It seems to me that arm span depends on your height rather than the other way around.

(b) Regression equation

The calculation is easy but tedious, so I asked Excel to do it.

For the equation y = ax + b, the formulas are

a = \dfrac{\sum y \sum x^{2} - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}\\\\b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}}

This gave the regression equation:

y = 1.0595x - 4.1524

(c) Interpretation

The line shows how arm span depends on height.

The slope of the line says that arm span increases about 6 % faster than height.

The y-intercept is -4. If your height is zero, your arm length is -4 in (both are impossible).

(d) Residuals

\begin{array}{cccr}&\textbf{Arm Span} & \textbf{Arm Span}&\\\textbf{Height/in} &\textbf{Actual} & \textbf{Predicted}&\textbf{Residual}\\25 & 19 & 22.3 & -3.3\\40 & 41 & 38.2 & 2.8\\55 & 51 & 54.1 & -3.1\\65 & 67 & 62.6 & 4.4\\ \end{array}

The residuals appear to be evenly distributed above and below the predicted values.

A graph of all the residuals confirms this observation.  

The equation usually predicts arm span to within 4 in.

(e) Predictions

(i) Height of person with 66 in arm span

\begin{array}{rcl}y& = & 1.0595x - 4.1524\\66 & = & 1.0595x - 4.1524\\70.1524 & = & 1.0595x\\x & = & \dfrac{70.1524}{1.0595}\\\\& = & \textbf{66 in}\\\end{array}\\\text{A person with an arm span of 66 in  should have a height of about $\large \boxed{\textbf{66 in}}$}

(ii) Arm span of 74 in tall person

\begin{array}{rcl}y& = & 1.0595x - 4.1524\\& = & 1.0595\times74 - 4.1524\\& = & 78.4030 - 4.1524\\& = & \textbf{74 in}\\\end{array}\\\text{ A person who is 74 in tall should have an arm span of $\large \boxed{\textbf{74 in}}$}

6 0
3 years ago
Question: here is a spinner with 6 pink shaded areas and 6 white shaded areas. If you spin the spinner ONCE, What is the probabi
Alexandra [31]

Answer: 6/12

Step-by-step explanation:

You have a 50% percent chance of landing on the shaded area

4 0
3 years ago
Read 2 more answers
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