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OLga [1]
3 years ago
5

Please answer 10 point + brainlyest = 1 big thank u

Mathematics
1 answer:
solmaris [256]3 years ago
8 0

<em><u>Step-by-step explanation:</u></em>

FIRST, we want to understand every property:

Associative Property: The associative property states that you can add or multiply regardless of how the numbers are grouped so (5 + 4) + 3 = 5 + (4 + 3)

Commutative Property: Commutative is the one that refers to moving stuff around so 3 + 2 = 2 + 3

Additive Inverse Property: This is the number that when added to the original number, equals 0 or it's the opposite of the number so 5 <- is the original number and -5 <- is the additive inverse.

Simplify: Is just to add like terms, and make the equation the simplest.

1. ORIGINAL EXPRESSION

2. Additive Inverse Property

3. Commutative property

4. Associative Property

5. Simplify

6. Simplify

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A town has three roads that form an obtuse triangle. James wants to set up a refreshment stand so that the shortest distance fro
GarryVolchara [31]
He should set up the refreshment stand on the incenter of the obtuse triangle. The incenter of a triangle is described as the intersection between the angle bisectors of a triangle. The inradius are the line segments from the incenter of the triangle to each of the three sides of the triangle which are all equal. The inradius is depicted as the radius of an inscribed circle in the triangle. Therefore, the shortest equal distance from his stand to each road is C. on the incenter.
4 0
3 years ago
Slope-intercept form of the equation for the line?
vaieri [72.5K]

Answer:

\large\boxed{y=-\dfrac{3}{10}x+\dfrac{1}{2}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points from the graph (-5, 2) and (5, -1).

Substitute:

m=\dfrac{-1-2}{5-(-5)}=\dfrac{-3}{10}=-\dfrac{3}{10}

We have the equation in form:

y=-\dfrac{3}{10}x+b

Put the coordinates of the point (5, -1) to the equation:

-1=-\dfrac{3}{10}(5)+b

-1=-\dfrac{3}{2}+b

-\dfrac{2}{2}=-\dfrac{3}{2}+b            <em>add 3/2 to both sides</em>

\dfrac{1}{2}=b\to b=\dfrac{1}{2}

4 0
3 years ago
Solve 2 2/5 - 1 1/2 .
vova2212 [387]

Answer:

9/10

Step-by-step explanation:

2 2/5 - 1 1/2

Get a common denominator of 10

2 2/5 *2/2 =  2 4/10

1 1/2 *5/5 = 1 5/10

2 4/10 - 1 5/10

Borrow from the 2 as 10/10

1 + 10/10 +4/10   - 1 5/10

1 14/10 - 1 5/10

9/10

4 0
3 years ago
(14-3x)2 simplified using the distributive property.
ivolga24 [154]

Answer: 28-6x

This is the same as -6x+28

===============================

To get that answer, you multiply each term inside the parenthesis by the outer term 2

14 * 2 = 28

-3x * 2 = -6x

So,

(14-3x)*2 = 14*2 - 3x*2 = 28-6x

----------

The distribution rule says

a(b-c) = ab-ac

which is the same as saying

(b-c)a = ba-ca

We can flip things around because we can multiply in any order.

6 0
3 years ago
One meter is approximately equal to 39.39 inches.About how many inches are in 3 meters? A 40 B 90 C 120 D 150
WITCHER [35]
There are 118.11 inches in 3 meters. So rounding up the answer would be C
5 0
3 years ago
Read 2 more answers
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