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3 years ago

How is breaking apart the problem 16x34 like solving four simpler problems?

Mathematics

1 answer:

dedylja [7]3 years ago

7 0

10*30=300
10*4=40
6*30=180
6*4=24
add them up: 300+40+180+24=544

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find the coordinates of point Z that splits the segment XY located 3/7 of the way between X(-2,1) and Y(4,5)

Drupady [299]

Answer:

Z(-0.2, 2.2).

Step-by-step explanation:

We will use section formula when a point, say P, divides any segment ,say AB, internally in the ratio m:n.

$[x=\frac{mx_2+nx_1}{m+n}, y= \frac{my_2+ny_1}{m+n}]$

We have been given the points of segment XY as X at (-2,1) and Y at (4,5) and ratio is 3:7.

$(x_1, y_1)=(-2,1)$

$(x_2, y_2)=(4,5)$

$m:n=3:7$

Upon substituting coordinates of our given points in section formula we will get,

$[x=\frac{(3*4)+(7*-2)}{3+7}, y= \frac{3*5+7*1}{3+7}]$

$[x=\frac{12-14}{10}, y= \frac{15+7}{10}]$

$[x=\frac{-2}{10}, y= \frac{22}{10}]$

$[x=-0.2, y= 2.2]$

Therefore, coordinates of point Z will be (-0.2, 2.2).

7 0

3 years ago

In your own words, define each of the following terms.

Leya [2.2K]

A. Whole number- a number that is whole, with no decimals or extra signs or variables next to or part of it.

b. Digit- a number from 0-9 is a digit.

c. The position a number has in a larger number. ex. Hundreds, Tens, and One's place

d. A number rounded to a whole number. Either to a smaller or larger to make it whole and easier to understand.

e. Equals: Numbers that equal each other.

I hope this helps you.

Brainliest answer would be appreciated!

6 0

3 years ago

Read 2 more answers

Segment addition with variables

oksian1 [2.3K]

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

$\overline{AB}=\overline{AC}+\overline{CB}$

____________________________________________

From the figure:

$\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40$

Our goal is to find x:

$\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}$