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2 years ago

Distributive property

Mathematics

1 answer:

timama [110]2 years ago

3 0

Answer:

9 x 6= 9 x ( 3+3 )

= 9 x 3 + 9 x 3

= 27 + 27

= 54

Step-by-step explanation:

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Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find

antiseptic1488 [7]

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2 x0= (-2+4)/2=1

y0=(yA+yC)/2 y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2 1= (1+xD)/2 xD=1

y0= (yB+yD)/2 2= (0+yD)/2 yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

6 0

2 years ago

PLEASE HELP IN IMAGE nonsense will be reported

Degger [83]

The answer is -2. The line is going from left to right which makes it negative. Then if you look at the line and do change in y(rise) over change in x(run).

8 0

3 years ago

The line plots show the number of hours two different age groups of teenagers spent online the previous week.

nikklg [1K]

The range of the top plot, hours spent by 13-15 year olds, is found by subtracting the highest value, 34, and the lowest value, 21. 34-21=13.
The mean of the top plot is found by adding together all of the data points and dividing by 10 (the number of data points):
$\frac{21+24+26+27+27+28+28+28+31+34}{10}=\frac{274}{10}=27.4$

The range of the bottom plot, minutes spent online by 16-18 year olds, is found by subtracting the highest value, 36, and the lowest value, 12. 36-12=24.
The mean of the bottom plot is found by adding together all of the data points and dividing by 11 (the number of data points):
$\frac{12+21+27+28+28+28+28+30.5+34+35+36}{11}=\frac{307.5}{11} \approx27.95$

4 0

3 years ago

Four boxes were mailed and weighted at the post office and the first one is 8.25pounds the second one weights 8.200 and the he t

hoa [83]

Answer:

The first one would be the heaviest

Step-by-step explanation:

becuase if you compare all three of them vertically you wil see that the tenth in the first one is larger than the other two

5 0

3 years ago

Read 2 more answers

PLEASE HELP. Given the polynomial 6x4+ 3x3- 7x2 + 4x + 5, choose ALL the following statements that are true?

Lunna [17]

Answer:

The polynomial has a leading coefficient of 4

The polynomial has 4 terms

The polynomial has a degree of 4

those are the answers

Step-by-step explanation:

its just there

6 0

3 years ago

Distributive property​

Distributive property