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3 years ago

Find the midpoint of the line segment with end coordinates of:

Mathematics

1 answer:

Kaylis [27]3 years ago

7 0

Answer:

Step-by-step explanation:

The Midpoint formula is

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ where the x's and y's come from the coordinates of the endpoints. Filling in:

$M=(\frac{-2+(-1)}{2},\frac{-4+(-5)}{2})=(\frac{-3}{2},\frac{-9}{2})=(-1.5,-4.5)$

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Only the a) part please!!!!

choli [55]

$(i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}$

$\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}$

$\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1$

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2 years ago

Read 2 more answers

Which of the following equations could be the trend line of variables that have a negative correlation?

fgiga [73]

Answer:

We will now call regression with just one explanatory variable simple linear re- ... We now think that the relationship between longevity and thorax length has ... parallel lines is s = √. 1 n − 3. ∑ residual. 2 = √. 1 n − 3. ∑. (y − ^y)2 ... Comparing these estimated regression equations with the two separate regression lines ...

Step-by-step explanation:

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3 years ago

One golfer's scores for the season are 88, 90, 86, 89, 96, and 85. Another

Allisa [31]

Mean of the first golfer = 89

Mean of the second golfer = 87

Range of the first golfer = 11

Range of the second golfer = 8

Explanation:

First golfer scores 88, 90, 86, 89, 96 and 85.

Sum of the scores of first golfer = 88 + 90 + 86 + 89 + 96 + 85 = 534

Number of observation of first golfer = 6

$\text {Mean} = \frac{\text {Sum of the observation}}{\text {Number of observation}}$

Mean of the first golfer = $\frac{534}{6}=89$

Mean of the first golfer = 89

Range of the first golfer = Highest score – Lowest score

= 96 – 85

Range of the first golfer = 11

Second golfer scores 91, 86, 88, 84, 90 and 83.

Sum of the scores of second golfer = 91 + 86 + 88 + 84 + 90 + 83 = 522

Number of observation of second golfer = 6

$\text {Mean} = \frac{\text {Sum of the observation}}{\text {Number of observation}}$

Mean of the second golfer = $\frac{522}{6}=87$

Mean of the second golfer = 87

Range of the second golfer = Highest score – Lowest score

= 91 – 83

Range of the second golfer = 8

Comparing the golfer's skills:

Mean of first golfer is greater than Mean of second golfer. (i.e. 89 > 87)

Range of first golfer is greater than Range of second golfer. (i.e. 11 > 8)

Thus, first golfer have more skills than second golfer.

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3 years ago

A(n) ______ specifies the phenomena of interest; indicates which variables are independent, alternative, antecedent, intervening

Nana76 [90]

Answer:

An arrow diagram

Step-by-step explanation:

Helps keep track of intricate relationships between variables. Specifies the phenomena of interest: independent, alternative, antecedent and intervening.

-Time on the bottom with an arrow

-Antecedent -> Independent -> intervening-> dependent

An arrow diagram is defined as a process diagramming tool used to determine optimal sequence of events, and their inter-connectivity. It is a network diagramming technique in which activities are represented by arrow, used for scheduling and to determine the critical path through nodes. The arrow diagramming method shows the required order of tasks in a project or process, the best schedule for the entire project, and potential scheduling and resource problems and their solutions. The arrow diagram lets you calculate the "critical path" of the project the flow of critical steps where delays can affect the timing of the entire project and where addition of resources can speed up the project.

One headed arrow connecting two variables= "X directly causes Y"

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3 years ago

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Write 9 in scientific notation

nataly862011 [7]

The number 9 in scientific notation is 8•10^0

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3 years ago