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Pani-rosa [81]
3 years ago
12

Why do we use the distributive property when subtracting expressions?

Mathematics
2 answers:
pochemuha3 years ago
3 0

Consider the example

(3x+5) - (x-10)

When we subtract off the (x-10), we are basically subtracting off x and also subtracting off -10. This is the same as adding on 10 because -(-10) = 10

So we would have these steps

(3x+5)-(x-10)

3x+5-x+10

2x+15

Often students forget to distribute the negative all the way through and would have 3x+5-x-10 as an incorrect step. You need to multiply that -1 through to each term, so that's why the distributive property is used.

Neko [114]3 years ago
3 0
distributive properties of addition and
subtraction can be used to rewrite
expressions for a variety of purposes. In
each case, you are distributing the outside
multiplier to each number in the
parentheses, so that multiplication occurs
with each number before addition or
subtraction occurs.
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A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?
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Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

Learn more about trigonometry here :

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Whats wrong in this equation ?
Inga [223]
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________


Turn -2 into a fraction and find the gcf of -2 and 6:

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________

1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6

Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.

5/1 • 1/5x = -13/6 • 5/1
x = 65/6

Then, simplify

65/6} 10.83 or 10 83/100
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