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2 years ago

How to solve this in steps?

Mathematics

2 answers:

Molodets [167]2 years ago

7 0

4a + 5 = 3(a - 7) + 2a

Start by distributing the 3 on the right side.

4a + 5 = 3 * a - 3 * 7 + 2a

4a + 5 = 3a - 21 + 2a

Now combine like terms on the right side. The like terms are 3a and 2a. They add up to 5a.

4a + 5 = 5a - 21

Subtract 5 from both sides.

4a = 5a - 26

Now subtract 5a from both sides.

-a = -26

Divide both sides by -1.

a = 26

gtnhenbr [62]2 years ago

3 0

4a + 5 = 3(a - 7) + 2a
4a + 5 = 3a - 21 + 2a
4a + 5 = 5a -21
4a -5a = -21 -5
-a = -26
a = 26

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1 year ago

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3/12 1/6 and 1/3 same denominator

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3 years ago

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3 years ago

I don’t really get this one.<br> 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