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3 years ago

Identify the property used in the first five steps to solve the equations (2x-5)-6x=-22

Mathematics

1 answer:

Bad White [126]3 years ago

4 0

Combine like terms
Add to both sides
Divide both sides
I only see three steps, man

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I don’t really get this one. Thx and have a great day!!

gayaneshka [121]

Answer:

The correct option is C). (9,4)

The coordinates of a point N is (9,4)

Step-by-step explanation:

Theory: If point P(x,y) lies on line segment AB and AP: PB=m:n, then we say P divides line AB internally in ratio of m:n and Point is given by

P= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

Given that point, M is lying somewhere between point L and point N.

The coordinates of a point L is (-6,14)

The coordinates of a point M is (-3,12)

Also, LM: MN = 1:4

We can write as,

Let,

Point L(-6,14)=(X1, Y1)

Point M(-3,12)=(x,y)

Point N is (X2, Y2)

m=1 and n=4

M(-3,12)= $(\frac{mX2+nX1}{m+n} , \frac{mY2+nY1}{m+n})$

M(-3,12)= $(\frac{1(X2)+4(-6)}{1+4} , \frac{(Y2)+4(14)}{1+4})$

M(-3,12)= $(\frac{(X2)-24}{5} , \frac{1(Y2)+56}{5})$

$(-3)=\frac{(X2)-24}{5}$

(-15)=X2-24

X2=9

$(12)=\frac{(Y2)+56}{5}$

(60)=Y2+56

Y2=4

Thus,

The coordinates of a point N is (9,4)

Result: The correct option is C). (9,4)

3 0

3 years ago

Please answer :'<

sesenic [268]

Answer:

D. 56.3 cubic units

Step-by-step explanation:

To find the volume of a rectangular prism you use the formula v=l*w*h which means you multiply 5*3*3.75 to find your answer of 56.3 cubic units.

3 0

2 years ago

Read 2 more answers

Can someone tell me the slope ?

borishaifa [10]

Answer:

slope = 4

Step-by-step explanation:

We can find the slope of a line when knowing 2 points by using the slope formula, $\frac{y_2 - y_1}{x_2 - x_1}$ . $x_1$ and $y_1$ represent the x and y values of the first point, respectively. $x_2$ and $y_2$ represent the x and y values of the second point, respectively.

The two points we have are (2,8) and (0,0). So, in this case, $x_1$ = 2, $y_1$ = 8, $x_2$ = 0, and $y_2$ = 0. Let's substitute those values into the formula and solve to get the slope:

$m =$ $\frac{0-8}{0-2}$