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3 years ago

For 1 and 2 use the number lines given to complete the number

Mathematics

2 answers:

kow [346]3 years ago

8 0

For the first one its 1/3 and the second one is 3/4

katen-ka-za [31]3 years ago

7 0

1/3 for the first one, and 3/4 for the second one :)

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You could divide any rectangle into two right triangles. How is knowing this useful?

Vlad1618 [11]

It makes it so that you can solve for the sides and such of a triangle using theorems specific to right triangles.

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4 years ago

Part A: Plot the points A(-8,7) and B(6,-9). Mark the halfway point on AB and label it point M. What are the coordinates of M? P

vredina [299]

Answer:

a. $M(x,y) = (-1,-1)$

b. $D(-4,-9)$

Step-by-step explanation:

Given

A(-8,7) and B(6,-9).

Solving (a):

Determine the Midpoint M;

This is calculated as follows;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$(x_1,y_1) = (-8,7)$

$(x_2,y_2) = (6,-9)$

Substitute these values in the formula

$M(x,y) = (\frac{-8+6}{2},\frac{7-9}{2})$

$M(x,y) = (\frac{-2}{2},\frac{-2}{2})$

$M(x,y) = (-1,-1)$

<em>Hence; the midpoint is (-1,-1)</em>

Solving (a):

Here, we have

C = (2,7)

M; Midpoint = (-1,-1)

Required: Determine D

This is calculated as follows;

$M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Where

$(x_1,y_1) = (2,7)$

$(x,y) = (-1,-1)$

Substitute these values in the formula

$(-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})$

Solving for x2

$-1 = \frac{2 + x_2}{2}$

Multiply both sides by 2

$-2 = 2 + x_2$

Subtract 2 from both sides

$x_2 = -2 - 2$

$x_2 = -4$

Solving for y2

$-1 = \frac{7 + y_2}{2}$

Multiply both sides by 2

$-2 = 7 + y_2$

Subtract 7 from both sides

$y_2 = -2 - 7$

$y_2 = -9$

Hence, the coordinates of D is

$D(-4,-9)$

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4 years ago

Protein Synthesis definition

crimeas [40]

Answer:

Protein synthesis is the process in which cells make proteins. It occurs in two stages: transcription and translation.

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3 years ago

Read 2 more answers

In a one-way ANOVA, the __________ is calculated by taking the squared difference between each person and their specific groups

guapka [62]

Answer:

In a one-way ANOVA, the $SS_{within}$ is calculated by taking the squared difference between each person and their specific groups mean, while the $SS_{between}$ is calculated by taking the squared difference between each group and the grand mean.

Step-by-step explanation:

The one-way analysis of variance (ANOVA) is used "to determine whether there are any statistically significant differences between the means of two or more independent groups".

The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean.

If we assume that we have p groups and each gtoup have a size $n_j$ then we have different sources of variation, the formulas related to the sum of squares are: